Research field (2)：
Applied mathematics and statistics
, Basic mathematics
Research keywords (3)：
Computational Mathematics
, 可積分系
, Integrable Systems
Research theme for competitive and other funds (42)：
2017 - 2020 Integrable Algorithms: Basis of Higher Accurate Computations with Positivity
2015 - 2018 Challenge to Breakdown of Integrable Algorithms
2013 - 2016 Theory of classical orthogonal polynomials in terms of discrete integrable systems and its applications
2012 - 2016 Development of high speed singular value decomposition algorithm for sparse matrices of large scale and upload of its source code
2011 - 2013 A Challenge to Relative Errors by Numerical Algorithms with Positivity
2010 - 2012 Research on systems of the biorthogonal functions, discrete andultradiscrete integrable systems, and their applications
2010 - 2012 Breakthrough in numerical analysis and numerical computation related with infinitely-precision arithmetic
2008 - 2011 Development of Innovative Library for Singular Value Decomposition Suited to Multi-Core Processors
2008 - 2010 Research for new algorithms by integrable system approach
2007 - 2009 新しい特異値分解法に基づく連立一次方程式のクリロフ部分空間法の開発
2006 - 2009 Research on the algebraic structure of theToda type non-autonomous discrete integrable systems and its applications
2004 - 2007 Mathematics on discrete and ultradiscrete integrable systems and its application
2004 - 2006 可積分系理論に基づく組合せ論研究の創始
2004 - 2006 Numerical harmonic analysis and its applications to image analysis and computational mathematics
2003 - 2006 Development of innovative numerical integrators which preserving all of the conserved quantities
2003 - 2005 Application of the discrete integrable systems on the semi-infinite lattice to the system of the bi-orthogonal polynomials
2004 - 2004 国際研究集会「離散可積分系理論の新展開(仮題)」に関する企画調査
2001 - 2003 離散時間ロトカ・ボルテラ系による特異値計算アルゴリズムの開発
2000 - 2003 Continued fraction expansions in terms of discrete integrable systems and their applications to systems identifications and the BCH-Goppa decoding
2000 - 2002 Research of Algorithms in terms of Information Geometry Structure and Discrete Time Integrable Systems
2000 - 2001 Studies on the orthogonal polynomials, the continued fractions and the discrete integrable systems
1998 - 2000 可積分な勾配系の差分化による新しい内点アルゴリズムの開発と情報幾何
1998 - 2000 Risk-sensitive stochastic control and its singular limit
1997 - 1999 Design of BCH-Goppa Decoding Algorithms in Terms of the Tau-functions over Finite Fields
1997 - 1998 Discrete-Time Integrable Systems and Numerical Algorithms
1994 - 1995 Application of Soliton Theory to Engineering
1994 - 1994 非線形可積分系による応用解析
1993 - 1993 非線形可積分系の数理
1992 - 1992 非線形力学系による線形計画問題の内点アルゴリズムの開発と情報幾何学
1991 - 1991 非線形可積分系の応用解析特に線形計画問題の内点アルゴリズムの開発
1990 - Design of Numerical Algorithms in terms of Discrete-time Integrable Systems
1990 - Developments of Applied Integrable Systems
1988 - 1988 積分可能系の理論と応用
1987 - 1987 モジュラー形式とモジュラー多様体の諸性質の研究
1986 - 1986 理想境界の理論
新しい特異値分解アルゴリズムの開発
離散時間可積分系による数値計算アルゴリスムの開発
応用可積分系の進展
Design of a New-Singular Value Decomposition Algorithm
Show all
Papers (140)：
Miho Chiyonobu, Takahiro Miyamae, Masami Takata, Jun Harayama, Kinji Kimura, Yoshimasa Nakamura. Singular value decomposition for complexmatrices using two-sided Jacobi method. The Journal of Supercomputing. 2024
Miho Chiyonobu, Masami Takata, Jun Harayama, Kinji Kimura, Yoshimasa Nakamura. Proposed Preprocessing for High-Performance Complex Singular Value Decomposition. 2023 Congress in Computer Science, Computer Engineering, & Applied Computing (CSCE). 2023
Asahi Ueda, Masashi Iwasaki, Yoshimasa Nakamura. Discrete Lotka-Volterra with shift algorithm for computing matrix eigenvalues and singular values. Japan Journal of Industrial and Applied Mathematics. 2023
Masato Shinjo, Akiko Fukuda, Koichi Kondo, Yusaku Yamamoto, Emiko Ishiwata, Masashi Iwasaki, Yoshimasa Nakamura. Discrete hungry integrable systems - 40 years from the Physica D paper by W.W. Symes. Physica D: Nonlinear Phenomena. 2022. 439. 133422-133422
Yusaku Yamamoto, Akiko Fukuda, Sonomi Kakizaki, Emiko Ishiwata, Masashi Iwasaki, Yoshimasa Nakamura. Box and Ball System with Numbered Boxes. Mathematical Physics, Analysis and Geometry. 2022. 25. 2
Sho Araki, Hiroki Tanaka, Masami Takata, Kinji Kimura, Yoshimasa Nakamura. Fast computation method of column space by using the DQDS method and the OQDS method. Proceedings of 2018 International Conference on Parallel and Distributed Processing Techniques and Applications (PDPTA2018). 2018. II. 333-339
Masana Aoki, Masami Takata, Kinji Kimura, Yoshimasa Nakamura. Improvement of computing partial singular value decomposition for dense matrix using thick-restart-Lanczos method. Proceedings of 2018 International Conference on Parallel and Distributed Processing Techniques and Applications (PDPTA2018). 2018. II. 340-346
Yuya Ishida, Masami Takata, Kinji Kimura, Yoshimasa Nakamura. An improvement of augmented Implicitly restarted Lanczos bidiagonalization method. Proceedings of The 2017 International Conference on Parallel and Distributed Processing Techniques and Applications (PDPTA2017). 2017. II. 281-287
Akihiko Tobita, Akiko Fukuda, Emiko Ishiwata, Masashi Iwasaki, Yoshimasa Nakamura. Monotonic convergence to eigenvalues of totally nonnegative matrices in an integrable variant of the discrete lotka-volterra system. Lecture Notes in Computational Science and Engineering. 2017. 117. 157-169
Recent developments in integrable algorithms
(JSIAM-ANZIAM Special Session 2016)
Accurate numerical integration algorithm for the Kepler motion
(Annual Workshop on Modeling and Simulation in Applied Mathematics Department of Mathematics Graduate School of Science 2015)
Bisection and inverse iteration algorithms for computing eigenpair subsets of symmetric band matrices
(International Workshop on Eigenvalue Problems: Algorithms; Software and Applications, in Petascale Computing (EPASA2015), 2015)
Prospect of Integrable Numerical Algorithms
(Forum on Scientific and Engineering Computing 2013 2013)
Design of the standard package by a new singular value decomposition algorithm
2002 -
Professional career (2)：
Doctor of Engineering (Kyoto University)
Master of Engineering (Kyoto University)
Work history (4)：
2023/04 - 現在 Osaka Seikei University President
2021/04 - 2023/03 Osaka Seikei University
2001/04 - 2021/03 Kyoto University Graduate School of Informatics
1996/04 - 2002/03 Osaka University Graduate School of Engineering Science
Association Membership(s) (11)：
情報処理学会
, Society for Industrial and Applied Mathematics(SIAM)
, American Mathematical Society(AMS)
, システム制御情報学会
, 日本応用数理学会
, 日本数学会
, Society of Industrial and Applied Mathematics (SIAM)
, Americal Mathematical Society (AMS)
, Information Processing Society of Japan
, Japan SIAM
, Mathematical Society of Japan
