Teaching (The Department of Informatics, School of Multidisciplinary Sciences, The Graduate University for Advanced Studies)

            (http://www.nii.ac.jp/graduate/index_e.html)

         

  Teaching and research supervision in theory and application of numerical analysis. Emphasis on the mathematical

analysis and development of numerical algorithms.

The main research topic is numerical linear algebra (iterative solvers for large sparse linear systems, least squares problems, etc.), inverse problems.

 

Lectures 

 

Theory of Numerical Methods (Winter term, biennial)

Applied Linear Algebra (Summer term, 12 lectures)

Presentation in English I (Summer term, part)

Presentation in English II (Winter term, part)

  (http://www.nii.ac.jp/graduate/curriculum/index_e1-1.html)

 

 

Members of Hayami Laboratory

 

Keiichi Morikuni   The Graduate University for Advanced Studies, Department of Informatics  D4/5

                         (http://www.nii.ac.jp/researcher/Graduate_Student/MORIKUNI_Keiichi/Graduatecontent_e.html )

 

 

OB

Yasunori Aoki    NII MOU Internship Student 2010.3-12

 (Waterloo University, Department of Applied Mathematics, Ph.D. student)

Xiaoke Cui      Project Researcher, Graduate School of Frontier Sciences, The University of Tokyo,

(Ph.D., The Graduate University for Advanced Studies, Sept., 2009)

Jun-Feng Yin @  Associate Professor, Mathematics Department,Tongji University, ( http://www.tongji.edu.cn/~yin )

                   (Project Researcher, National Institute of Informatics, 2006-2008)

Masayuki Ishii   (The Graduate University for Advanced Studies, 2002-2006)

 

 

Present Research Interests

 

  Numerical Analysis; Numerical Linear Algebra

         (i) Iterative Solution of Large Sparse Linear Systems:

              The analysis of the convergence of Krylov subspace methods for singular systems.

         (ii) Iterative Solution of Least-Squares Problems.

         (iii) Numerical solution of Inverese Problems (e.g. estimation of parameters in a pharmacokinetic model)

         etc.

 

 

Research in the Past

 

1. Boundary Element Method (BEM)

    (i) Fast Solution Methods

        Application of the panel clustering method to elastostatics

        Application of the Fast Multipole Method (FMM) to the potential problem, many particle systems

    (ii) Quadrature for singular and nearly singular integrals in BEM: development and analysis of algorithms

(iii) Inverse Problems

         1) Identification of electric dipoles in the brain.

         2) Elastostatic problem (Identification of traction from displacements at interior points)

@@(iv) Analysis of free surface

 

2. Numerical Linear Algebra

    (i) Vector and parallel algorithms for preconditioned Krylov subspace methods

    (ii) Large Sparse Eigenvalue Problems: Jacobi-Davidson Method

    (iii) Validated Computation for large sparse eigenvalue problems using the Jacobi-Davidson Method

 

3. Prediction of Routability of LSI

 

4. Analysis of Plastic Behaviour of Polycrystals.

 

5. Fluid dynamics

 

 

List of Publications

 

 

Book

 

* Hayami, K.,

A Projection Transformation Method for Nearly Singular Surface Boundary Element Integrals,

Lecture Notes in Engineering, Vol. 73, Springer-Verlag, (456 pages),  1992.

 

 

Journal Papers

 

1.  Hayami, K. and Oshima, N., 

An analysis of the plastic behavior of polycrystals, 

Theoretical and Applied Mechanics,  Vol. 30,  University of Tokyo Press,  pp. 35-44,  1981.

 

*2.  Hayami, K. and Harada, N., 

On the effectiveness of the diagonally scaled conjugate gradient algorithm on vector computers,

Transactions of the Information Processing Society of Japan, Vol. 30, No. 11, pp. 1364-1375, 1989 (in Japanese).

(http://ci.nii.ac.jp/naid/110002724533/ )

 

3.  Hayami, K.,

High precision numerical integration methods for 3-D boundary element analysis,

IEEE Transactions on Magnetics,  Vol. 26,  No. 2,  pp. 603-606,  1990.

 ( http://ieeexplore.ieee.org/xpl/freeabs_all.jsp?tp=&arnumber=106389&isnumber=3251 )

 

4.  Abe, H. and Hayami, K.,

A new numerical method for transient electromagnetic problems -Transient Green Method -,

Transactions of the Information Processing Society of Japan,  Vol.33, No. 8, pp. 1006-1012, 1992 (in Japanese).

 

*5.  Hayami, K. and Matsumoto, H.,

A numerical quadrature for nearly singular boundary element integrals,

Engineering Analysis with Boundary Elements,  Vol. 13,  pp.143-154,  1994.

(http://www.elsevier.com/wps/find/journaldescription.cws_home/422920/description#description)

 

6.  Washio, T. and Hayami, K.,

Parallel block preconditioning based on SSOR and MILU,

Numerical Linear Algebra with Applications,  Vol. 1(6),  pp. 533-553,  1994.

 

7.  Washio, T. and Hayami, K.,

Overlapped multicolor MILU preconditioning,

SIAM Journal on Scientific Computing, Vol. 16,  No. 3,  pp. 636-650,  1995.

 

8.  Kunihiro, N., Hayami, K., and Sugihara, M.,

Automatic numerical integration for the boundary element method using variable transformation and its error analysis,

Transactions of the Japan Society for Industrial and Applied Mathematics, Vol. 5,  No. 1,  pp. 101-119,  1995, (in Japanese).

 

*9.  Hayami,  K., 

On the convergence of the conjugate residual method for singular systems,

Transactions of the Japan Society for Industrial and Applied Mathematics, Vol. 13, No. 1, pp. 1-33, 2003, (in Japanese).

(http://ci.nii.ac.jp/naid/110001878206/ )

 

10.   Hamano, K., Murashige, S., and Hayami, K.,

      Boundary element simulation of large amplitude standing waves in vessels,

    @Engineering Analysis with Boundary Elements, Vol. 27, Issue 6, pp. 565-574, 2003.

     @ (http://www.elsevier.com/wps/find/journaldescription.cws_home/422920/description#description)

 

*11.  Hayami, K.,

        Variable transformations for nearly singular integrals in the boundary element method,

         Publications of Research Institute for Mathematical Sciences, Kyoto University,

         Vol. 41, pp. 821-842, 2005.

          ( http://www.kurims.kyoto-u.ac.jp/~prims/pdf/41-4/41-4-34.pdf )

 

*12.  Hayami, K. and Ito, T.,

       The solution of least squares problems using GMRES methods,

Proceedings of the Institute of Statistical Mathematics, Vol. 53, No. 2, pp. 331-348, 2005, (in Japanese).

( http://www.ism.ac.jp/editsec/toukei/tokeisuri-53-2e.html )

 

13.  Ishii, M. and Hayami, K.,

       The numerical solution of systems of algebraic equations arising in a magnetoencephalography inverse problem,

  Transactions of the Japan Society for Industrial and Applied Mathematics, Vol. 16, No. 3, pp. 135-147, 2006, (in Japanese).

   ( http://www.ism.ac.jp/editsec/toukei/pdf/53-2-331.pdf )

 

14.  Ito, T. and Hayami, K.,

Preconditioned GMRES methods for least squares problems,

Japan Journal of Industrial and Applied Mathematics, Vol. 25, No. 2, pp. 185-207, 2008.

 (http://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.jjiam )

 

15.  Yin, J.-F. and Hayami, K.,

       Preconditioned GMRES methods with incomplete Givens orthogonalization method

for large sparse least-squares problems,

Journal of Computational and Applied Mathematics, Vol. 226, 177-186, 2009.

( http://www.sciencedirect.com/science/journal/03770427 )

 

16.  Cui, X. and Hayami, K.,

        Generalized approximate inverse preconditioners for least squares problems,

        Japan Journal of Industrial and Applied Mathematics, Vol. 26, No.1, 1-14, 2009.

         ( http://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.jjiam )

 

*17.  Hayami, K., Yin, J.-F., and Ito, T.,

       GMRES methods for least squares problems,

SIAM Journal on Matrix Analysis and Applications , Vol. 31, Issue 5, pp. 2400-2430, 2010.

 ( http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJMAEL&Volume=31&Issue=5 )

 

*18.  Hayami, K. and Sugihara, M.,

         A geometric view of Krylov subspace methods on singular systems,

           Numerical Linear Algebra with Applications, Vol. 18, pp. 449-469, 2011.

( DOI: 10.1002/nla.737, http://onlinelibrary.wiley.com/doi/10.1002/nla.737/pdf )

 

19.  Cui, X., Hayami K., and Yin, J.-F.,

       Grevillefs method for preconditioning least squares problems,

Advances in Computational Mathematics , Vol. 35, pp. 243-269, 2011.

(DOI: 10.1007/s10444-011-9171-x, http://www.springerlink.com/content/9456635232883247/ ).

 

20.  Morikuni, K., and Hayami, K.,

       Inner-iteration Krylov subspace methods for least squares problems, (revised, submitted).

 

21.  Aoki, Y., Hayami, K., De Sterck, H., and Konagaya, A.,

Cluster Newton method for sampling multiple solutions of an underdetermined inverse problem:

Parameter identification for pharmacokinetics, (submitted).

 

22.   Morikuni, K., Reichel, L., and Hayami, K.,

        FGMRES for linear discrete ill-posed problems, (submitted)

 

 

Proceeding Papers of International Conferences

 

*1.  Hayami, K. and Harada, N.,

The scaled conjugate gradient method and vector processors,

Proc. 1st Int. Conf. on Supercomputing Systems,  St. Petersburg,  Florida, IEEE Computer Society,  pp. 213-221,  1985.

 

*2.  Hayami, K. and Brebbia, C.A.,

A new coordinate transformation method for singular and nearly singular integrals over general   curved boundary elements,

in C.A.Brebbia, W.L. Wendland and G. Kuhn eds.,  Boundary Elements IX, 

Proc. 9th Int. Conf. on Boundary Elements, Stuttgart, 

Computational Mechanics Publication with Springer-Verlag,  Vol. 1,  pp. 375-397,  1987.

 

*3.  Hayami, K. and Brebbia, C.A.,

Quadrature methods for singular and nearly singular integrals in 3-D boundary element method,   (Invited paper),

in C.A. Brebbia ed.,  Boundary Elements X,  Proc. 10th Int.Conf. on Boundary Elements,  Southampton, 

Computational Mechanics Publication with Springer-Verlag, Vol. 1, pp. 237-264, 1988.

 

*4.  Hayami, K.,

A robust numerical integration method for three-dimensional boundary element analysis,

in M. Tanaka, C.A. Brebbia and T. Honma eds.,  Boundary Elements XII, 

Proc. 12th Int. Conf. on Boundary  Elements,  Sapporo, 

Computational Mechanics Publications with Springer-Verlag,  Vol. 1,  pp. 33-51,  1990.

 

5.  Saitoh, S. and Hayami, K.,

Multiprocessing of a mesoscale model,

in G.R. Hoffmann and D.K. Maretis eds., The Dawn of Massively Parallel Processing in Meteorology, 

Proc. 3rd Workshop on Use of Parallel Processors in Meteorology, Reading, Springer-Verlag, pp. 124-139, 1990.

 

6.  Hayami, K.,

High Precision Numerical Integration Method for 3-D BEM and its Error Analysis using Complex  Function Theory,

in C.A. Brebbia ed.,  Boundary Element Technology VI, Proc. 6th Int. Conf. on Boundary Element Technology,

Southampton, U.K., Computational Mechanics Publications with Springer-Verlag,  pp.335-338, 1991.

                                            

*7.  Hayami, K.,

A robust numerical integration method for 3-D boundary element analysis and its error analysis using

complex function theory,  in T.O. Espelid and A. Genz eds.,  Numerical Integration,

Proc. NATO Advanced Research Workshop on Numerical Integration, Bergen, 1991,

Kluwer Academic Publishers, pp. 235-248, 1992.

 

8.  Hayami, K.,  Matsumoto, H.  and  Moroga, K.,

Improvement and implementation of PART: Numerical quadrature for nearly singular boundary element integrals,

in C.A. Brebbia, J. Dominguez and F. Paris eds.,  Boundary Elements XIV,

Proc. 14th Int. Conf. on Boundary Element Methods, Seville,

Computational Mechanics Publications with Elsevier Science Publishers, Vol. 1, pp. 605-617, 1992.

 

*9.  Hayami, K. and Matsumoto, H.,

Improvement of quadrature for nearly singular integrals in 3D-BEM,

in C.A. Brebbia ed.,  Boundary Elements XVI,  Proc. 16th Int. Boundary Element Method Conf., Southampton, 

Computational Mechanics Publications, pp. 201-210, 1994.

 

10.  Kunihiro, N.,  Hayami, K. and Sugihara, M.,

Automatic numerical integration of nearly singular boundary element integrals,

in T. Ushijima, Z. Shi and T. Kako eds., Advances in Numerical Mathematics,

Proc. 2nd Japan-China Seminar on Numerical Mathematics, Tokyo, 1994, 

Lecture Notes in Numerical and Applied Analysis, Vol. 14, pp. 249-252, 1995.

 

11.  Kunihiro, N. Hayami, K. and Sugihara, M.,

Automatic numerical integration of nearly singular integrals in the boundary element method,

S.N. Atluri, G. Yagawa and T.A. Cruse eds.,  Computational Mechanics '95, 

Proc. Int. Conf. on Computational Engineering Science, Hawaii,  Springer-Verlag,

Vol. 2,  pp. 2841-2846, 1995.

 

12.  Yamada, Y. and Hayami, K.,

A multipole boundary element method for two-dimensional elastostatics,

in W. Hackbusch and G. Wittum eds.,  Boundary Elements: Implementation and Analysis of Advanced Algorithms, 

Proc. 12th GAMM-Seminar Kiel, Notes in Numerical Fluid Mechanics, Vol. 54,  Vieweg,  pp. 255-267, 1996.

 

13.  Kobayashi, N. and Hayami, K.,

Identification of a current dipole in the brain using BEM and nonlinear optimization,

in M. Marchetti, C.A. Brebbia and M.H. Aliabadi eds., Boundary Elements XIX, 

Proc. 19th Int. Conf. on the Boundary Element Method,

Computational Mechanics Publications, pp. 379-388, 1997.

 

14.  Nishida, N. and Hayami, K.,

Application of the fast multipole method to the 3-D BEM analysis of electron guns,

in M. Marchetti, C.A. Brebbia and M.H. Aliabadi eds., Boundary Elements XIX, 

Proc. 19th Int. Conf. on the Boundary Element Method,

Computational Mechanics Publications, pp. 613-622, 1997.

 

*15.  Hayami, K. and Sauter, S.A.,

Application of the panel clustering method to the three-dimensional elastostatic problem,

in M. Marchetti, C.A. Brebbia and M.H. Aliabadi eds.,  Boundary Elements XIX, 

Proc. 19th Int. Conf. on the Boundary Element Method,

Computational Mechanics Publications, pp. 625-634, 1997.

 

*16.  Hayami, K.,

Improvement of a method for identifying a current dipole in the brain using BEM and nonlinear optimization,

in M. Tanaka and G.S. Dulikravich eds.,  Inverse Problems in Engineering Mechanics,

Proc. Int. Symp. on Inverse Problems in Engineering Mechanics, Elsevier, pp. 449-458, 1998.

 

*17.  Hayami, K. and Sauter, S.A.,

Cost estimation of the panel clustering method applied to 3-D elastostatics,

in C.A. Brebbia ed., Boundary Element Research in Europe, 

Proc. 2nd European Boundary Element Method Symp. (EUROBEM II), Southampton,

Computational Mechanics Publications, pp. 33-42, 1998.

 

18.  Hayami, K. and Sauter, S.A.,

Panel clustering for 3-D elastostatics using spherical harmonics,

in A. Kassab, C.A. Brebbia and M. Chopra eds.,  Boundary Elements XX, 

Proc. 20th Int. Conf. on the Boundary Element Method,  Orlando,

Computational Mechanics Publications, pp. 289-298, 1998.

 

*19.  Hayami, K. and Sauter, S.A.,

A panel clustering method for 3-D elastostatics using spherical harmonics,

in B. Bertram, C. Constanda and A. Struthers eds.,  Integral Methods in Science and Engineering,

Proc. Int. Conf. on Integral Methods in Science and Engineering (IMSE98), Research Notes in Mathematics, Vol. 418,

Chapman & Hall / CRC,  London,  pp. 179-184, 2000.

 

20.  Nakajima, M., Hayami, K., Terao, J., Watanabe, S., and Ando, S.,

Identification of tractions based on displacement observations at interior points,

in M. Tanaka and G.S. Dulikravich eds.,  Inverse Problems in Engineering Mechanics II,

Proc. Int. Symp. on Inverse Problems in Engineering Mechanics 2000 (ISIP 2000),  Nagano,

Elsevier,  Amsterdam,  pp. 119-128, 2000.

 

*21.  Hayami, K.,

On the behaviour of the conjugate residual method for singular systems, (Invited paper),

in Z.-C. Shi and H. Kawarada eds.,

Proceedings of Fifth China-Japan Seminar on Numerical Mathematics, Shanghai, 2000,

Science Press, Beijing/New York, pp. 117-126, 2002.

 

*22.  Hayami, K. and Ito, T.,

Application of the GMRES method to singular systems and least squares problems, (Invited paper),

in Z.-C. Shi and H. Okamoto eds.,

Proceedings of the Seventh China-Japan Seminar on Numerical Mathematics,

Zhangjiajie, 2004, Science Press, Beijing, pp. 33-44, 2006.

 

23.  Hayami, K. and Ito, T.,

         Convergence analysis of GMRES methods for least squares problems, (Invited paper),

         in Y. Kaneda, H. Kawamura and M. Sasai eds., Frontiers of Computational Science,

         Proceedings of the International Symposium on Frontiers of Computational Science 2005 (FCS2005),

Nagoya, Japan, Dec. 12-13, 2005, Springer-Verlag, pp. 181-187, 2007.

 

24.   Cui, X., Hayami, K., and Yin, J.-F.,

Grevillefs method for preconditioning least squares problems,

Proceedings of contributed papers and posters, ALGORITMY 2009, 18th Conference on Scientific Computing,

Vysoke Tatry-Podbanske, Slovakia, March 15-20, 2009, pp. 440-448.

( http://www.iam.fmph.uniba.sk/amuc/_contributed/algo2009/ )

 

 

Kokyuroku

 

1.  Hayami, K.,

On quadrature for singular and nearly singular integrals the three-dimensional boundary element method,

Kokyuroku 676, Fundamental Theory of Numerical Analysis and Its Vicinity,

Research Institute for Mathematical Sciences, Kyoto University, December, 1988, pp. 284-306, 1988, (in Japanese).

 

2.  Hayami, K.,

High precision quadrature for the boundary element method and its error analysis,

Kokyuroku 744, Numerical Analysis of the Free Boundary Problems and Related Topics 2,

Research Institute for Mathematical Sciences, Kyoto University, February, 1991, pp. 188-206, 1991 (in Japanese).

 

3.  Hayami, K.,

On the convergence of the GCR(k) method for singular systems (Invited talk),

Kokyuroku 1265, Discretization Methods and Numerical Algorithms for Differential Equations,

Research Institute for Mathematical Sciences, Kyoto University, May, 2002, pp.129-139, (in Japanese).

 

4.  Hayami, K. and Ito, T.,

Solution of least squares problems by preconditioned GMRES methods,

Kokyuroku 1441, New Developments of Numerical Analysis in the 21st Century,

Research Institute for Mathematical Sciences, Kyoto University, July, 2005, pp.114-128, (in Japanese).

 

 

Refereed Papers of Domestic Conferences

 

1.  Hayami, K..,

   Improvement and error analysis of the high precision numerical integration method: PART,

Proc. 6th Japan National Symp. on Boundary Element Methods, Japan Soc. for Comp. Meth. in Engineering (JASCOME),

December, 1989, pp. 37-42, (in Japanese).

 

2.  Akiba, Y. and Hayami, K..,

A grid generation technique using boundary element method,

Proc. 6th Japan National Symp. on Boundary Element Methods, JASCOME,

December, 1989, pp. 97-100, (in Japanese).

 

3.  Hayami, K. and Matsumoto, H.,

Improvement of the high precision numerical integration method for nearly singular integrals,

Proc. 10th Japan National Symp. on Boundary Element Methods, JASCOME, December, 1993, pp. 165-169, (in Japanese).

 

4.  Kunihiro, N., Hayami, K. and Sugihara, M.,

Automatic numerical integration using variable transformation and its error analysis,

Proc. 4th BEM Technology Conf. (BTEC94), JASCOME, June, 1994, pp. 33-38, (in Japanese).

 

5.  Watanabe, O. and Hayami, K.,

A fast solver for the boundary element method using multipole expansion,

Proc. 4th BEM Technology Conf. (BTEC94), JASCOME, June, 1994, pp. 39-44, 1994, (in Japanese).

 

6.  Yamada, Y. and Hayami, K.,

Application of the clustering method to the two dimensional elastostatic problem,

Proc. 11th Japan National Symp. on Boundary Element Methods, JASCOME, December, 1994, pp. 31-36, (in Japanese).

 

7.  Yamada, Y. and Hayami, K.,

A multipole method for two dimensional elastostatics,

Proc. 5th BEM Tech. Conf. (BTEC95), JASCOME, June, 1995, pp. 59-64, (in Japanese).

 

8.  Hayami, K. and Sauter, S. A.,

A formulation for the panel clustering method for the three-dimensional elastostatic problem,

Proc. 13th Japan National Symp. on Boundary Element Methods, December, 1996, pp. 125-130, 1996.

 

9.  Kobayashi, N. and Hayami, K.,

Application of the boundary element method and the method of nonlinear optimization

to the problem of estimating the location of a current dipole in the brain,

Proc. 13th Japan National Symp. on Boundary Element Methods, JASCOME, December, 1996, pp. 157-162, (in Japanese).

 

10.  Hayami, K. and Sauter, S. A.,

A panel clustering method for 3-D elastostatics using spherical harmonics,

Proc. 8th BEM Technology Conference (BTEC98), July, 1998,  pp. 27-32.

 

11.  Nishida, T. and Hayami, K.,

Application of the fast multipole method to the 3-D BEM analysis of electron guns,

Proc. 8th BEM Technology Conference (BTEC98), July, 1998, pp.33-38, (in Japanese).

 

12.  Nakajima, M., Terao, J., Watanabe, S., Ando, S. and Hayami,K.,

Identification of traction based on displacement observations at interior points in an elastic body,

Proc. 16th Japan National Symp. on Boundary Element Methods,

December, 1999, pp. 103-108, 1999, (in Japanese).

 

13.  Hamano, K., Murshige, S. and Hayami, K.,

The analysis of standing waves of free surfaces using the boundary element method,

Proc. 10th BEM Technology Conference (BTEC2000), July, 2000, pp.43-48, (in Japanese).

 

14.  Hamano, K., Murashige, S. and Hayami, K.,

The direct simulation of large amplitude standing waves using the boundary element method,

Proc. 17th Japan National Symp. on Boundary Element Methods, December, 2000, pp. 91-96, (in Japanese).

 

 

Technical Reports

 

1.  Yamada, Y. and Hayami, K.,

A multipole boundary element method for two-dimensional elastostatics,

Technical Reports, Department of Mathematical Engineering, University of Tokyo,

METR 95-07, pp. 1-20, August, 1995.

  ( http://www.keisu.t.u-tokyo.ac.jp/Research/techrep.0.html#1995 )

 

2.  Hayami, K.,

Improvement of a method for identifying a current dipole in the brain using BEM and nonlinear optimization, 

Technical Reports, Department of Mathematical Engineering, University of Tokyo, 

METR 98-03, pp. 1-10, April, 1998.

 

3.  Nakajima, M., Hayami, K., Terao, J., Watanabe, S., and Ando, S.,

Identification of tractions based on displacement observations at interior points,

Technical Reports, Department of Mathematical Engineering, University of Tokyo,

METR 2000-03, pp. 1-11, April, 2000.

  ( http://www.keisu.t.u-tokyo.ac.jp/Research/techrep.0.html#2000 )

 

4.  Hayami, K.,

On the behaviour of the conjugate residual method for singular systems,

NII Technical Reports, National Institute of Informatics, Tokyo, NII-2001-002E, pp. 1-14, July, 2001.

( http://research.nii.ac.jp/TechReports/01-002E.html )

 

5. Hayami, K.,

On the convergence of the conjugate residual method for singular systems), 

NII Technical Reports, National Institute of Informatics, Tokyo, NII-2001-003J, pp. 1-33, August, 2001 (in Japanese).

( http://research.nii.ac.jp/TechReports/01-003J.html )

 

6.  Hamano, K., Murashige, S. and Hayami, K.,

      Boundary element simulation of large amplitude standing waves in vessels,

      NII Technical Reports,@National Institute of Informatics, Tokyo,

NII-2002-004E, pp. 1-21, September, 2002. 

      ( http://research.nii.ac.jp/TechReports/02-004E.html )

  

7.  Ito, T. and Hayami, K.,

       Preconditioned GMRES methods for least squares problems,

@     NII Technical Reports,@National Institute of Informatics, Tokyo,

       NII-2004-006E, pp. 1-29, May, 2004.

       ( http://research.nii.ac.jp/TechReports/04-006E.html )

 

8.  Hayami, K. and Sugihara, M.,
On the convergence of the GCR(k) method for singular systems,

      NII Technical Reports,@National Institute of Informatics, Tokyo,

      NII-2004-009E, pp. 1-24, December, 2004.

       ( http://research.nii.ac.jp/TechReports/04-009E.html )

 

9.  Hayami, K.,

      Variable transformations for nearly singular integrals in the boundary element method,

      NII Technical Reports,@National Institute of Informatics, Tokyo,

      NII-2005-010E, pp. 1-21, June, 2005.

       ( http://research.nii.ac.jp/TechReports/05-010E.html )

 

10. Hayami, K. and Ito, T.,

     The solution of least squares problems using GMRES methods,

     NII Technical Reports,@National Institute of Informatics, Tokyo,

     NII-2005-015J, pp. 1-20, November, 2005, (in Japanese).

      ( http://research.nii.ac.jp/TechReports/05-015J.html )

 

11.  Yin, J.-F. and Hayami, K.,
Preconditioned GMRES methods with incomplete Givens orthogonalization method

for large sparse least-squares problem,

NII Technical Reports,@National Institute of Informatics, Tokyo,

      NII-2007-08E, pp. 1-18, July, 2007.

      ( http://research.nii.ac.jp/TechReports/07-008E.html )

 

12.  Hayami, K., Yin, J.-F., and Ito, T.,
GMRES methods for least squares problems,

NII Technical Reports,@National Institute of Informatics, Tokyo,

      NII-2007-09E, pp. 1-29, July, 2007.

      ( http://research.nii.ac.jp/TechReports/07-009E.html )

 

13.  Cui, X. and Hayami, K.,
Generalized approximate inverse preconditioners for least squares problems,

  NII Technical Reports,@National Institute of Informatics, Tokyo,

NII-2008-002E, pp. 1-13, February, 2008.

( http://research.nii.ac.jp/TechReports/08-002E.html )

 

14.  Cui, X. and Hayami, K.,
       Greville's method for preconditioning least squares problems,

 NII Technical Reports,@National Institute of Informatics, Tokyo,

NII-2008-008E, pp. 1-26, August, 2008.

        ( http://research.nii.ac.jp/TechReports/08-008E.html )

 

15.  Hayami, K. and Sugihara, M.,

       A geometric view of Krylov subspace methods on singular systems,

 NII Technical Reports,@National Institute of Informatics, Tokyo,

NII-2009-007E, pp. 1-28, March, 2009.

( http://research.nii.ac.jp/TechReports/09-007E.html )

 

16.  Morikuni, K. and Hayami, K.,

       Inner-iteration Krylov subspace methods for least squares problems,

 NII Technical Reports,@National Institute of Informatics, Tokyo,

NII-2011-001E, pp. 1-27, April, 2011.

( http://www.nii.ac.jp/TechReports/11-001E.html )

 

17.  Aoki, Y., Hayami,K., De Sterck, H. and Konagaya, A.,

       Cluster Newton Method for Sampling Multiple Solutions of an Underdetermined Inverse Problem:

Parameter Identification for Pharmacokinetics,

NII Technical Reports,@National Institute of Informatics, Tokyo,

NII-2011-002E, pp. 1-38, August, 2011.

         ( http://www.nii.ac.jp/TechReports/11-002E.html )

 

18.  Morikuni, M.., Reichel, L. and Hayami, K.,

        FGMRES for linear discrete ill-posed problem,

        NII Technical Reports, National Institute of Informatics, Tokyo,

        NII-2012-001E, pp. 1-21, January, 2012.

         ( http://www.nii.ac.jp/TechReports/12-001E.html )

 

 

Invited Talks

 

1.  Hayami, K. and Brebbia, C.A.,

Quadrature methods for singular and nearly singular integrals in 3-D boundary element method,  

10th Int. Conf. on Boundary Elements,@Southampton, 1988.

 

2.  Hayami, K.,

On the behaviour of the conjugate residual method for singular systems, 

The Fifth China-Japan Seminar on Numerical Mathematics, Shanghai, 2000.

 

3.  Hayami, K.,

Krylov subspace methods on singular systems,

Dagstuhl Seminar 03421: Theoretical and Computational Aspects of Matrix Algorithms,

October 12-17th, 2003, Dagstuhl, Germany. (http://www.dagstuhl.de/03421/)

 

4.  Hayami, K. and Ito, T.,

Application of the GMRES method to singular systems and least squares problems,

The Seventh China-Japan Seminar on Numerical Mathematics, Zhangjiajie, 2004.

 

5.  Hayami, K.,

     Variable transformation for nearly singular integrals in the boundary element method,

     Thirty Years of the Double Exponential Transforms, Symposium, September 1-3, 2004,

      Oraganizer: Hisashi Okamoto, Research Institute for Mathematical Sciences, Kyoto University, pp. 10-12.

      ( http://www.kurims.kyoto-u.ac.jp/~okamoto/DE/demori.html )

 

6.  Hayami, K. and Ito, T.,

      Krylov subspace methods for singular systems and least squares problems,

      International Conference on Generalized Inverse and its Applications,

      Harbin Normal University, Dec. 28-30, 2004, p.3.

 

7.  Hayami, K. and Ito, T.,

      Convergence analysis of GMRES methods for least squares problems,

      The International Symposium on Frontiers of Computational Science 2005 (FCS2005),

Nagoya, Japan, Dec. 12-13, 2005.

 

8.  Hayami, K., Yin, J.-F. and Ito, T.,

      GMRES methods for least squares problems,

      The First International Conference on Numerical Algebra and Scientific Computing (NASC06),

Beijing, October 23, 2006, p.8-9.

 

9.  Hayami, K. and Yin J.-F.,

      Preconditioned GMRES methods for least squares problems,

      Advanced Workshop on Applied Numerical Algebra

Mathematics Department, Ocean University of China, Qingdao, April 21-25th, 2007.

 

10.  Hayami, K.,

       Krylov subspace methods –Their application to singular systems and least squares problems –

       The Second International Summer School on Numerical Linear Algebra,

       Lanzhou, July 26-27, 2007. ( http://lsec.cc.ac.cn/~SSNLA07/ )

 

11.  Hayami, K. and Yin, J.-F.,

       Convergence of Krylov subspace methods for least squares problems,

       The Second China-Japan-Korea Conference on Numerical Mathematics,

       Weihai, China, August 25-29, 2008, Program of Abstracts, p.4, 

( http://lsec.cc.ac.cn/~CJK2008/index.html )

 

12.   Hayami, K. and Yin, J.-F.,

        Convergence of Krylov Subspace Methods for Least Squares Problems,

        The Second International Conference on Numerical Algebra and Scientific Computing (NASC08),

        Nanjing, China, November 2-5, 2008, Abstracts, p. 10.

        ( http://lsec.cc.ac.cn/~NASC06/NASC_pages/Conf_pages/NASC08_pages/index.html )

 

13.   Hayami, K. and Yin, J.-F.,

        On the Convergence of Krylov Subspace Methods for Rank-Deficient Least Squares Problems,

        The Third International Conference on Scientific Computing and Partial Differential Equations (SCPDE08),

        Hong Kong Baptist University, December 8-12, 2008, Program and Abstracts, p. 25.

         (http://www.math.hkbu.edu.hk/SCPDE08/ )

 

14.   Hayami, K. and Sugihara, M.,

         A Geometric View of Krylov Subspace Methods on Singular Systems,

         International Conference on Engineering and Computational Mathematics (ECM2009),

         The Hong Kong Polytechnic University, May 27-29, 2009, Programme and Abstracts, p.72.

          ( http://www.polyu.edu.hk/ama/events/conference/ECM2009/index.htm )

 

15.   Hayami, K.,

          Lecture Series on Krylov Subspace Methods and their Application to Singular Systems and Least Squares Problems,

          Departament de Matemàtica Aplicada, Universitat Politècnica de València, February 16-19, 2010.

 

16.   Morikuni, K. and Hayami, K.

           Inner-Iteration Preconditioners for Least Squares Problems,

           Applied Mathematics International Conference 2010 (AMIC 2010) &

           The 6th East Asia SIAM Conference 2010 (EASIAM),

           Kuala Lumpur, Malaysia, June 22-24, 2010, Program and Abstracts, p. 19,

            ( http://math.um.edu.my/easiam/ )

 

17.  Morikuni, K. and Hayami, K.

         Inner-Iteration Preconditioners for Least Squares Problems,

         The Third International Conference on Numerical Algebra and Scientific Computing (NASC10)

         Beijing, October 23-27, 2010, Program and Abstracts, p. 8,

          ( http://lsec.cc.ac.cn/~NASCNAG/ )

 

18.  Morikuni, K. and Hayami, K.

         Inner Iteration Preconditioners for Least Squares Problems

- Overdetermined, Underdetermined, and Rank-Deficient Cases -,

Workshop on Matrix Equations and Tensor Computations,

April 9-18, 2011, Changsha, Hunan Province, China.

 

 

Other Academic Presentations

 

1.  Hayami, K. and Harada, N.,

The scaled conjugate gradient method and supercomputers,

in T.Natori and T.Nodera eds.,  Advances in Numerical  Methods for Large Sparse Sets of Linear Equations, 

No.2, pp. 40-49, Keio Univ., Japan, 1986.

 

2.  Hayami, K.,

On quadrature for singular and nearly singular integrals the three-dimensional boundary element method,

Kokyuroku 676, Fundamental Theory of Numerical Analysis and Its Vicinity,

Research Institute for Mathematical Sciences, Kyoto University, December, 1988, pp. 284-306, 1988,

 (in Japanese).

 

3.    Hayami, K., 

High precision quadrature for the boundary element method and its error analysis,

Kokyuroku 744, Numerical Analysis of the Free Boundary Problems and Related Topics 2,

Research Institute for Mathematical Sciences, Kyoto University, February, 1991, pp. 188-206, 1991,

 (in Japanese).

 

4.  Abe, H. and Hayami, K.,

An accurate and stable explicit method for transient electromagnetic problems,

Conference on Electromagnetic Field Computation (IEEE), Claremont, U.S.A., 1992.

 

5.  Washio, T. and Hayami, K.,

Parallel block preconditioning,

in M. Natori and T. Nodera eds.,  Advances in Numerical Methods for Large Sparse Sets of Linear Equations,  No. 9,

Parallel Processing for Scientific Computing,  Keio University,  pp. 48-55, 1993.

 

6.  Kunihiro, N., Hayami, K. and Sugihara, M.,

Automatic numerical integration of nearly singular boundary element integrals,

Proc. 2nd Japan-China Joint Seminar on Numerical Mathematics, August, 1994, Tokyo, pp. 42-46, 1994.

 

7.  Hayami, K.,

In search of an optimum variable transformation for nearly singular integrals in BEM,

12th GAMM-Seminar Kiel on Boundary Elements: Implementation and Analysis of Advanced Algorithms,

January, 1996, Kiel, Germany, Collection of Abstracts, pp. 10-11, 1996.

 

8.  Yamada, Y. and Hayami, K.,

A multipole boundary element method for two-dimensional elastostatics,

12th GAMM-Seminar Kiel on Boundary Elements: Implementation and Analysis of Advanced Algorithms,

January, 1996, Kiel, Germany, Collection of Abstracts,  pp. 11-12, 1996.

 

9.  Hayami, K. and Sauter, S. A.,

A formulation for the panel clustering method for three-dimensional elastostatics, 

Proc. 1996 Annual Meeting of the Japan Society for Industrial and Applied Mathematics,

SeptemberC1996, pp. 218-219, 1996.

 

10.  Hayami, K. and Sauter, S. A.,

A formulation for the panel clustering method for the three-dimensional elastostatic problem,

Proc. Seminar on the Numerical and Mathematical Analysis of Elasticity, 

Research  Institute for Mathematical Sciences, University of Kyoto, January, 1997, pp.1-2, 1997.

 

11.  Nishida, N. and Hayami, K.,

Application of the fast multipole method to the 3-D BEM analysis of electron guns,

IMA Conference on Boundary Integral Methods: Theory and Applications,

September, 1997, Salford, U.K., 1997.

 

12.  Hayami, K. and Sauter, S.A.,

Application of the panel clustering method to the three-dimensional elastostatic problem,

IMA Conference on Boundary Integral Methods: Theory and Applications,

September, 1997, Salford, U.K., 1997.

 

13.  Kobayashi, N. and Hayami, K.,

Identification of a current dipole in the brain using BEM and nonlinear optimization,

IMA Conference on Boundary Integral Methods: Theory and Applications,

September, 1997, Salford, U.K., 1997.

 

14.  Hayami, K.,

Improvement of a method for identifying acurrent dipole in the brain using BEM and nonlinear optimization,

ISIP'98 International Symposium on Inverse Problems in Engineering Mechanics 1998, March, 1998, Nagano,

Abstracts,  pp. 261-266, 1998.

 

15.  Hayami, K. and Sauter, S.A.,

Cost estimation of the panel clustering method applied to 3-D elastostatics,

IABEM International Symposium on Boundary Element Methods,

May, 1998, Paris, Symposium Proceedings,  p. 93, 1998.

 

16.  Hayami, K. and Sauter, S.A.,

A panel clustering method for 3-D elastostatics using spherical harmonics,

5th Int. Conf. on Integral Methods in Science and Engineering (IMSE'98),

August, 1998, Houghton, Michigan, Abstracts,  pp. 37-38, 1998.

 

17.  Hayami, K. and Sauter, S. A.,

A multipole expansion method for three-dimensional elastostatics,

Proc. 1998 Annual Meeting of the Japan Society for Industrial and Applied Mathematics,

September, 1998, pp. 126-127, 1998.

 

18.  Hayami, K.,

Multipole method for 3-D elastostatics,

The Fourth International Congress on Industrial and Applied Mathematics (ICIAM 99),

July, 1999, Edinburgh, Book of Abstracts, Mini-Symposium MSP-107,

Fast Solution Methods for the Boundary Element Method, p. 106, 1999.

 

19.  Nakajima, M., Terao, J., Watanabe, S., Ando, S. and Hayami, K.,

Identification of traction on the boundary based on displacement observations at interior points in an elastic body,

Abstracts, ISIP 2000, International Symposium on Inverse Problems in Engineering Mechanics,

March, 2000, Nagano, pp. 57-61, 2000.

 

20.  Hayami, K., 

Identification of tractions based on displacement observations at interior points,

The 6th Applied Mathematics Forum, June, 2000, Songnisan, Korea.

 

21.  Hayami, K.,

On the behaviour of the conjugate residual method for singular systems, (Invited talk)

Abstracts of the 5th China-Japan Joint Seminar on Numerical Mathematics,

August, 2000, Shanghai, p.7.

 

22.  Hayami, K.,

On the convergence of the conjugate residual method for singular systems,

The Third Japan/Czech Workshop on Computational Methods in Applied Science,

February, 2001, The Institute of Statistical Mathematics, Tokyo.

 

23.     Hamano, K., Murashige, S. and Hayami, K.,

The direct simulation of large amplitude standing waves using the boundary element method,

Kokyuroku 1209,  Mechanism and Mathematical Aspects of Nonlinear Wave Phenomena,

Research Institute for Mathematical Sciences, Kyoto University, May, 2001, pp. 105-114, (in Japanese).

 

24.  Kamiyama, M., Hayami, K., Murashige, S. and Oishi, S.,

Validated numerical solution of large scale eigenvalue problems,

Proc. 2001 Annual Meeting of the Japan Society for Industrial and Applied Mathematics,

October, 2001, pp.22-23, 2001.

 

25.  Hayami, K.,

On the convergence of conjugate residual and related methods for singular systems,

Abstracts of Talks, ICRACM2001, International Conference on Recent Advances in Computational Mathematics,

October, 2001, Matsuyama,  pp. 24-25, 2001.

 

26.  Hayami, K.,

On the convergence of the GCR(k) method for singular systems (invited talk)

Proc. Seminar on Discretization Methods for Differential Equations and Numerical Algorithms,

Research  Institute for Mathematical Sciences, University of Kyoto, November, 2001,  pp. 31-33.

 

27.  Hayami, K.,

On the convergence of the GCR(k) method for singular systems,

Latsis Symposium 2002: Iterative Solvers for Large Linear Systems

(celebrating 50 years of the conjugate gradient method),

February, 2002, ETH Zuerich, Abstracts, pp. 22-23.

 

28. Hayami, K.,

On the convergence of the GCR(k) method for singular systems,

Kokyuroku 1265, Discretization Methods and Numerical Algorithms for Differential Equations, 

Research Institute for Mathematical Sciences, Kyoto University, May, 2002, pp.129-139, (in Japanese).

 

29.  Hayami, K.,

On the convergence of Krylov subspace methods for singular systems,

MILOVY 2002, Computational Linear Algebra with Applications

August, 2002, Milovy, Czech Republic, Book of Abstracts, pp. 36-37.

 (http://www.cs.cas.cz/~milovy/ )

 

30.     Hayami, K.,

       GMRES and GCR(k) on singular systems,

       Proc. 32nd Numerical Analysis Symposium, pp. 71-74, Hakone, Japan, May, 2003.

 

31.  Hayami, K.,

        GCR(k) and GMRES on singular systems,

        5th International Congress on Industrial and Applied Mathematics (ICIAM2003),

        July, 2003, Sydney, Minisymposium: Krylov Subspace Methods on Singular and Nearly Singular Systems,

Book of Abstracts, p.81, 2003.  (http://www.iciam.org/iciamHome/iciamHome_tf.html )

 

32.  Hayami, K.,

       GCR(k) and GMRES on singular systems,

 Proc. 2003 Annual Meeting of the Japan Society for Industrial and Applied Mathematics,

September, 2003, pp. 324-325, 2003.

 

33.  Hayami, K.,

Krylov subspace methods on singular systems, (Invited talk),

Dagstuhl Seminar 03421:

Theoretical and Computational Aspects of Matrix Algorithms,

October 12-17th, 2003, Dagstuhl, Germany.

( http://www.dagstuhl.de/03421/ )

 

34.   Hayami, K.,

Krylov subspace methods on singular systems, (Invited talk),

Seminar at the Institute for Computer Science III,

Technical University Hamburg-Harburg, October 20th, 2003.

 

35.  Hayami, K. and Ito, T.,

       Application of the GMRES method to singular systems and least squares problems ( Invited talk ), 

The 7th China-Japan Joint Seminar for Computational Mathematics and Scientific Computing,

August 16-20th, 2004, Zhang Jia Jie, China, 2pp.

 

36. Hayami, K.,

     Variable transformation for nearly singular integrals in the boundary element method ( Invited talk ),

     Thirty Years of the Double Exponential Transforms, Symposium, September 1-3, 2004,

     Oraganizer: Hisashi Okamoto, Research Institute for Mathematical Sciences, Kyoto University, pp. 10-12.

      (http://www.kurims.kyoto-u.ac.jp/~okamoto/DE/demori.html )

 

37. Hayami, K. and Ito, T.,

     Krylov subspace methods for singular systems and least squares problems (Invited talk),

     International Conference on Generalized Inverse and its Applications,

     Harbin Normal University, Dec. 28-30, 2004, p.3.

 

38. Hayami, K.,

     GMRES methods for least squares problems (Invited talk),

     School of Mathematical Sciences, Peking University, April 28th, 2005.

 

39.  Hayami, K.,

       Krylov subspace methods for singular systems (Invited talk),

       Institute of Computational Mathematics and Scientific/Engineering Computing

    Chinese Academy of Sciences, Peking, April 29th, 2005.

 

40.  Hayami, K. and Ito, T.,

      GMRES methods for least squares problems,

      Workshop on Numerical Linear Algebra,

      FoCM (Foundations of Computational Mathematics) 2005, Santander, Spain, July 7-9,

Book of Abstracts, p. 165.  ( http://www.damtp.cam.ac.uk/user/na/FoCM/FoCM05/ )

 

41.  Hayami, K. and Ito, T.,

      GMRES methods for least squares problems,

      Joint Workshop on Computational Chemistry and Numerical Analysis (CCNA2005)

      Tokyo, December 5-6, 2005, p. 10.

 

42.  Hayami, K. and Ito, T.,

      GMRES methods for least squares problems (Invited talk),

      International Symposium on Frontiers of Computational Science 2005 (fcs2005),

Nagoya University, December 12-13, 2005, p.31.

 

43.  Hayami, K. and Ito, T.,

GMRES methods for least squares problems,

Seminar at Institut fuer Mathematik und Optimierung,

Technische Universitaet Bergakademie Freiberg, July 19th, 2006.

 

44.  Hayami, K. and Ito, T.,

GMRES methods for least squares problems,

GAMM-SIAM Conference on Applied  Linear Algebra, Duesseldorf, July 25, 2006, p.83.

 

45.  Hayami, K. and Ito, T.,

  GMRES methods for least squares problems (Poster Presentation),

 First China-Japan-Korea Joint Conference on Numerical Mathematics,

 Sapporo, August 4, 2006.

 

46.  Hayami, K., Yin, J.-F. and Ito, T.,

       GMRES methods for least squares problems (Invited talk),

       The First International Conference on Numerical Algebra and Scientific Computing (NASC06),

Beijing, October 23, 2006, p.8-9.

 

47.  Hayami, K., Yin, J.-F. and Ito, T.,

       GMRES methods for least squares problems (Invited talk),

       Mathematics Department, Fudan University, Shanghai, October 28, 2006.

 

48.  Hayami, K. and Yin J.-F.,

        Preconditioned GMRES methods for least squares problems (Invited talk),

        Advanced Workshop on Applied Numerical Algebra

Mathematics Department, Ocean University of China, Qingdao

April 21-25th, 2007

 

49.  Hayami, K., Yin J.-F.,

       Preconditioned GMRES methods for least squares problems,

       Proc. 36th Numerical Analysis Symposium, pp. 27-30, Yugawara, June, 200.

 

50.  Yin, J.-F. and Hayami, K.,

       Preconditioned Krylov subspace iterative methods for ill-conditioned least squares problems,

       Proc. 36th Numerical Analysis Symposium, pp. 31-34, Yugawara, June, 200.

 

51.  Yin, J.-F. and Hayami, K.,

       Preconditioned Krylov subspace iterative methods for the solution of least-squares problems,

       2007 International Conference on Preconditioning Techniques for Large Sparse Matrix Problems in

       Scientific and Industrial Applications, Toulouse, July 9th,  2007.

 

52.  Yin, J.-F., Hayami, K., and Bai, Z.-Z.,

          Preconditioned Krylov-subspace methods for the solution of least-squares problems,

          6th International Congress on Industrial and Applied Mathematics (ICIAM07), Zuerich, July 19th, 2007,

    Proceedings in Applied Mathematics and Mechanics, 7:1(2007), 2020151-2020152.

 

53.  Hayami, K.,

       Krylov subspace methods –Their application to singular systems and least squares problems – (Invited lecture)

       The Second International Summer School on Numerical Linear Algebra,

       Lanzhou, July 26-27, 2007. ( http://lsec.cc.ac.cn/~SSNLA07/ )

 

54.  Hayami, K., Yin, J.-F., and Ito, T.,

Preconditioned GMRES methods for least squares problems,

Seminar at Institut fuer Mathematik und Optimierung,

Technische Universitaet Bergakademie Freiberg, August 16th, 2007.

 

55.  Hayami, K., Yin, J.-F., and Ito, T.,

       GMRES methods for least squares problems,

       Book of Abstracts, HARRACHOV 2007, Computational Linear Algebra with Applications,

       Harrachov, Czech Republic, August 19-25, 2007, p. 38. (http://www.cs.cas.cz/~harrachov/ )

 

56.  Yin, J.-F., and Hayami, K.,

       Preconditioned GMRES methods for large sparse least-squares problems,

       Proc. 2007 Annual Meeting of the Japan Society for Industrial and Applied Mathematics,

       pp. 114-115, 2007, (September 15th, 2007, Hokkaido University).

 

57.  Cui, X., and Hayami, K.,

       Approximate generalized inverse preconditioner for rectangular matrices,

       Proc. 2007 Annual Meeting of the Japan Society for Industrial and Applied Mathematics,

       pp. 118-119, 2007, (September 15th, 2007, Hokkaido University).

 

58.  Cui, X., and Hayami, K.,

Approximate generalized inverse preconditioners for least squares problems,

4th Meeting of the Special Interest Group: The Solution of Matrix, Eigenvalue Problems and Their Applications,

Japan Society for Industrial and Applied Mathematics,

November 22nd, 2007, School of Science, The University of Tokyo.

 

59.  Hayami, K.,

       My memories of Professor Golub and the history of the least squares method,

       Gene Golub Around The World, Tsukuba University, February 29, 2008.

 

60.  Cui, X. and Hayami, K.,

       Generalized approximate inverse preconditioners for least squares problems,

       9th IMACS International Symposium on Iterative Methods in Scientific Computing,

March 17-20, 2008, Lille, France, Book of Abstracts, p.21.

 

61.  Hayami, K. and Yin, J.-F.,

       Convergence of Krylov subspace methods for least squares problems, (Invited talk),

       The Second China-Japan-Korea Conference on Numerical Mathematics,

       Weihai, China, August 25-29, 2008, Program of Abstracts, p.4,  (http://lsec.cc.ac.cn/~CJK2008/index.html )

 

62.  Hayami, K. and Yin, J.-F.,

       Convergence of Krylov Subspace Methods for Least Squares Problems, (Invited talk),

       The Second International Conference on Numerical Algebra and Scientific Computing (NASC08),

       Nanjing, China, November 2-5, 2008, Abstracts, p. 10.

        ( http://lsec.cc.ac.cn/~NASC06/NASC_pages/Conf_pages/NASC08_pages/index.html )

 

63.  Hayami, K. and Yin, J.-F.,

       On the Convergence of Krylov Subspace Methods for Rank-Deficient Least Squares Problems, (Invited talk),

       The Third International Conference on Scientific Computing and Partial Differential Equations (SCPDE08),

       Hong Kong Baptist University, December 8-12, 2008, Program and Abstracts, p. 25.

        ( http://www.math.hkbu.edu.hk/SCPDE08/ )

 

64.  Hayami, K. and Yin, J.-F.,

       Convergence of Krylov Subspace Methods for Least Squares Problems,

       Lecture at the Department of Applied Mathematics,
The Hong Kong Polytechnic University, December 12, 2008.

 

65.  Cui, X., Hayami, K., and Yin, J.-F.,

Grevillefs method for preconditioning least squares problems,

Proceedings of contributed papers and posters, ALGORITMY 2009, 18th Conference on Scientific Computing,

Vysoke Tatry-Podbanske, Slovakia, March 15-20, 2009, pp. 440-448.

        ( http://www.math.sk/alg2009/ )

 

66.  Hayami, K. and Sugihara, M.,

       A Geometric View of Krylov Subspace Methods on Singular Systems, (Invited talk),

       International Conference on Engineering and Computational Mathematics (ECM2009),

       The Hong Kong Polytechnic University, May 27-29, 2009, Programme and Abstracts, p.72.

        ( http://www.polyu.edu.hk/ama/events/conference/ECM2009/index.htm )

 

67.  Morikuni, K., Cui, X., and Hayami, K.,

       Preconditioning by inner  iterations for least squares problems,

       Proc. 38th Numerical Analysis Symposium, pp. 41-44, Atagawa, June, 2009.

 

68.  Cui, X., Hayami, K., and Yin, J.-F.,

       Application of the preconditioned GMRES method to the interior point method,

       Proc. 38th Numerical Analysis Symposium, pp. 49-52, Atagawa, June, 2009.

 

70.  Hayami, K.,

       A geometric view of Krylov subspace methods on singular systems,

       Proc. 38th Numerical Analysis Symposium, pp. 53, Atagawa, June, 2009.

 

71.  Cui, X., Hayami, K., and Yin, J.-F.,

 Grevillefs method for preconditioning least squares problems,

 International Conference on Preconditioning Techniques for Scientific and Industrial Applications,

 August 24-26, 2009, Hong Kong.

  (http://www.math.hkbu.edu.hk/precond09/index.html )

 

72.  Morikuni, K., Cui, X., and Hayami, K.,

        Preconditioning Krylov subspace methods using inner iterations for least squares problems,

        GAMM Workshop: Applied and Numerical Linear Algebra, September 10-11, 2009, ETH Zurich.

         ( http://www.sam.math.ethz.ch/GAMM09/index.php )

 

73.  Hayami, K., Sugihara, M. and Yin, J.-F.,

        A geometric view of Krylov subspace methods on singular systems,

        Mini Symposium MS38, 2009 SIAM Conference on Applied Linear Algebra,

        Seaside, California, Oct. 26-29, 2009,  Abstracts, p. 80.

         ( http://www.siam.org/meetings/la09/ )

 

74.  Hayami, K.,

       Lecture Series on Krylov Subspace Methods and their Application to Singular Systems and Least Squares Problems,

       Departament de Matemàtica Aplicada, Universitat Politècnica de València, February 16-19, 2010.

 

75.  Hayami, K. and Morikuni, K.,

       Inner-Iteration Preconditioners for Least Squares Problems, (Invited talk),

        Applied Mathematics International Conference 2010 (AMIC 2010) &

        The 6th East Asia SIAM Conference 2010 (EASIAM),

        Kuala Lumpur, Malaysia, June 22-24, 2010, Program and Abstracts, p. 19,

         ( http://math.um.edu.my/easiam/ )

 

76.  Morikuni, K. and Hayami, K.,

        Iterative preconditioners for least squares problems,

        15th International Congress on Computational and Applied Mathematics (ICCAM 2010),

        Leuven, Belgium, July 5-9, 2010, Abstracts of Talks, 1p.

         (http://www.iccam.ugent.be/ )

 

77.  Morikuni, K. and Hayami, K.

         Inner-Iteration Preconditioners for Least Squares Problems, (Invited talk),

         The Third International Conference on Numerical Algebra and Scientific Computing (NASC10)

         Beijing, October 23-27, 2010, Program and Abstracts, p. 8,

          ( http://lsec.cc.ac.cn/~NASCNAG/ )

 

78.  Morikuni, K. and Hayami, K.

       Inner Iteration Preconditioners for Least Squares Problems

- Overdetermined, Underdetermined, and Rank-Deficient Cases -, (Invited talk),

Workshop on Matrix Equations and Tensor Computations,

April 9-18, 2011, Changsha, Hunan Province, China.

 

79.  Morikuni, K. and Hayami, K.,

       Inner-iteration GMRES methods for underdetermined least squares problems,

10th IMACS International Symposium on Iterative Methods in Scientific Computing,

May 18-21, 2011, Marrakech, Morocco.

 

80.  Aoki, Y., Hayami, K., De Sterke, H., and Konagaya, A.,

       An algorithm for solving underdetermined inverse problems: An application to a pharmacokinetics model,

      Applied Inverse Problems Conference, May 23-27, 2011, Texas A&M University.

 

81.  Morikuni, K. and Hayami, K.,

       Inner-iteration preconditioned GMRES for underdetermined least squares problems,

        Proc. 40th Numerical Analysis Symposium, pp. 121-124, Toba, June, 2011.

 

82.  Morikuni, K. and Hayami, K.,

        Preconditioned GMRES using inner iterations for underdetermined least squares problems (Invited talk),

        International Workshop on Numerical Linear Algebra and its Applications,

        Tongji University, Shanghai, June 30-July 4, 2011.

 

83.  Morikuni, K. and Hayami, K.,

        Inner-iteration preconditioners for least squares problems,

        Workshop on Numerical Linear Algebra,

        Conference on the Foundations of Computational Mathematics (FoCMf11),

        Budapest University of Technology and Economics, July 4-14, 2011.

 

84.  Aoki, Y., Hayami, K., Konagaya, A., and De Sterck, H.

An Algorithm for Solving Underdetermined Inverse Problems:

Application to Parameter Identification for a Pharmacokinetics Model,

Poster Presentation, (First Prize, AC.CES Poster Competition),

Aachen Conference on Computational Engineering Science (AC.CES)

Aachen, July 13-15, 2011.

( http://www.acces11.rwth-aachen.de/MainContents/News.php )

 

 

85.   Morikuni, K. and Hayami, K.,

        Inner-iteration CG and GMRES methods for least squares problems,

        Mini-Symposium MS312, The Iterative Solution of Least Squares Problems,

        7th International Congress on Industrial and Applied Mathematics (ICIAM 2011),

        Vancouver, July 18-22, 2011.

 

86.   Aoki, Y., Hayami, K., Konagaya, A.,

        A numerical method for an underdetermined inverse problem in pharmacokinetics,

        Contributed Paper, CP102 Life Sciences III,

        7th International Congress on Industrial and Applied Mathematics (ICIAM 2011),

        Vancouver, July 18-22, 2011.

 

87.   Aoki, Y., Hayami, K., and Konagaya, A.

An Algorithm for Solving Underdetermined Inverse Problem Application to Pharmacokinetics Model,

Special Session Presentation, SS-AAIP I Applied Analysis and Inverse Problems I,

The International Conference on Applied Mathematics, Modelling and Computational Science (AMMCS 2011),

Waterloo, July 25-29, 2011.  ( http://www.ammcs2011.wlu.ca/ )

 

88.   Morikuni, K. and Hayami, K.,

 Inner-iteration GMRES methods for least squares problems,

International Conference on Scientific Computing (SC2011),

Special session: Iterative Methods for Linear Systems

S. Margherita di Pula, Sardinia, Italy, October 10–14, 2011

( http://bugs.unica.it/SC2011/ )

 

 

Theses

 

1.  Hayami, K., 

The Analysis of the Oscillation of a Body Falling Through Fluid,

Bachelor Thesis, Mathematical Engineering Course, Department of Mathematical