High-speed computation method for condition numbers in the range restricted general minimum residual method - Miho Chiyonobu; Masami Takata; Kinji Kimura; Yoshimasa Nakamura (J. Supercomput., 2025)

Singular value decomposition for complex matrices using two-sided Jacobi method - Miho Chiyonobu; Takahiro Miyamae; Masami Takata; Jun Harayama; Kinji Kimura; Yoshimasa Nakamura (J. Supercomput., 2024)

Implementation details of an extended oqds algorithm for singular values - Sho Araki; Kinji Kimura; Yusaku Yamamoto; Yoshimasa Nakamura (JSIAM Lett., 2015)

A new subtraction-free formula for lower bounds of the minimal singular value of an upper bidiagonal matrix - Takumi Yamashita; Kinji Kimura; Yusaku Yamamoto (Numer. Algorithms, 2015)

A New Parallel Symmetric Tridiagonal Eigensolver Based on Bisection and Inverse Iteration Algorithms for Shared-Memory Multi-core Processors - Hiroyuki Ishigami; Kinji Kimura; Yoshimasa Nakamura (10th International Conference on P2P, Parallel, Grid, Cloud and Internet Computing, 3PGCIC 2015, Krakow, Poland, November 4-6, 2015, 2015)

GPU Implementation of Inverse Iteration Algorithm for Computing Eigenvectors - Hiroyuki Ishigami; Kinji Kimura; Yoshimasa Nakamura (22nd Euromicro International Conference on Parallel, Distributed, and Network-Based Processing, PDP 2014, Torino, Italy, February 12-14, 2014, 2014)

An application of the Kato-Temple inequality on matrix eigenvalues to the dqds algorithm for singular values - Takumi Yamashita; Kinji Kimura; Masami Takata; Yoshimasa Nakamura (JSIAM Lett., 2013)

Accelerating the Reorthogonalization of Singular Vectors with a Multi-core Processor - Hiroki Toyokawa; Hiroyuki Ishigami; Kinji Kimura; Masami Takata; Yoshimasa Nakamura (High Performance Computing for Computational Science - VECPAR 2012, 10th International Conference, Kobe, Japan, July 17-20, 2012, Revised Selected Papers, 2012)

On Implementation and Evaluation of Inverse Iteration Algorithm with compact WY Orthogonalization - Hiroyuki Ishigami; Kinji Kimura; Yoshimasa Nakamura (CoRR, 2012)

Acceleration of Hessenberg Reduction for Nonsymmetric Eigenvalue Problems in a Hybrid CPU-GPU Computing Environment - Jun-ichi Muramatsu; Takeshi Fukaya; Shao-Liang Zhang; Kinji Kimura; Yusaku Yamamoto (Int. J. Netw. Comput., 2011)

Algebraic Approaches to Underdetermined Experiments in Biology - Hiroshi Yoshida; Kinji Kimura; Naoki Yoshida; Junko Tanaka; Yoshihiro Miwa (Inf. Media Technol., 2010)

Generating Algorithms for Matrices with Large Condition Number to Evaluate Singular Value Decomposition - Masami Takata; Kinji Kimura; Yoshimasa Nakamura (Proceedings of the International Conference on Parallel and Distributed Processing Techniques and Applications, PDPTA 2010, Las Vegas, Nevada, USA, July 12-15, 2010, 2 Volumes, 2010)

On parallelism of the I-SVD algorithm with a multi-core processor - Hiroki Toyokawa; Kinji Kimura; Masami Takata; Yoshimasa Nakamura (JSIAM Lett., 2009)

A numerical method for nonlinear eigenvalue problems using contour integrals - Junko Asakura; Tetsuya Sakurai; Hiroto Tadano; Tsutomu Ikegami; Kinji Kimura (JSIAM Lett., 2009)

Numerical Algorithms for Solving the Optimal PWM Problem on Multiple-Precision Arithmetic with Theory of Orthogonal Polynomials - Kenichi Yadani; Kinji Kimura; Yoshimasa Nakamura (Proceedings of the International Conference on Parallel and Distributed Processing Techniques and Applications, PDPTA 2009, Las Vegas, Nevada, USA, July 13-17, 2009, 2 Volumes, 2009)

Speed-Up in mdLVs by Limitation in Computational Number of Shift - Masami Takata; Kinji Kimura; Yoshimasa Nakamura (Proceedings of the International Conference on Parallel and Distributed Processing Techniques and Applications, PDPTA 2009, Las Vegas, Nevada, USA, July 13-17, 2009, 2 Volumes, 2009)

On Parallelization of the I-SVD Algorithm and its Evaluation for Clustered Singular Values - Hiroki Toyokawa; Kinji Kimura; Masami Takata; Yoshimasa Nakamura (Proceedings of the International Conference on Parallel and Distributed Processing Techniques and Applications, PDPTA 2009, Las Vegas, Nevada, USA, July 13-17, 2009, 2 Volumes, 2009)

A method for finding zeros of polynomial equations using a contour integral based eigensolver - Tetsuya Sakurai; Junko Asakura; Hiroto Tadano; Tsutomu Ikegami; Kinji Kimura (Symbolic Numeric Computation, SNC '09, Kyoto, Japan - August 03 - 05, 2009, 2009)

Accelerating the Singular Value Decomposition of Rectangular Matrices with the CSX600 and the Integrable SVD - Yusaku Yamamoto; Takeshi Fukaya; Takashi Uneyama; Masami Takata; Kinji Kimura; Masashi Iwasaki; Yoshimasa Nakamura (Parallel Computing Technologies, 9th International Conference, PaCT 2007, Pereslavl-Zalessky, Russia, September 3-7, 2007, Proceedings, 2007)

Algorithms for Generating Bidiagonal Test Matrices - Masami Takata; Kinji Kimura; Masashi Iwasaki; Yoshimasa Nakamura (Proceedings of the International Conference on Parallel and Distributed Processing Techniques and Applications, PDPTA 2007, Las Vegas, Nevada, USA, June 25-28, 2007, Volume 2, 2007)

Performance of a New Scheme for Bidiagonal Singular Value Decomposition of Large Scale - Masami Takata; Kinji Kimura; Masashi Iwasaki; Yoshimasa Nakamura (Proceedings of the IASTED International Conference on Parallel and Distributed Computing and Networks, as part of the 24th IASTED International Multi-Conference on Applied Informatics, February 14-16 2006, Innsbruck, Austria, 2006)

Evaluation of a New Eigen Decomposition Algorithm for Symmetric Tridiagonal Matrices - Hiroaki Tsuboi; Taro Konda; Masami Takata; Kinji Kimura; Masashi Iwasaki; Yoshimasa Nakamura (Proceedings of the International Conference on Parallel and Distributed Processing Techniques and Applications & Conference on Real-Time Computing Systems and Applications, PDPTA 2006, Las Vegas, Nevada, USA, June 26-29, 2006, Volume 2, 2006)

Verification of dLVv Transformation for Singular Vector Computation with High Accuracy - Masami Takata; Taro Konda; Kinji Kimura; Yoshimasa Nakamura (Proceedings of the International Conference on Parallel and Distributed Processing Techniques and Applications & Conference on Real-Time Computing Systems and Applications, PDPTA 2006, Las Vegas, Nevada, USA, June 26-29, 2006, Volume 2, 2006)

Existence of the Exact CNOT on a Quantum Computer with the Exchange Interaction - Yasuhito Kawano; Kinji Kimura; Hiroshi Sekigawa; Masayuki Noro; Kiyoshi Shirayanagi; Masahiro Kitagawa; Masanao Ozawa (Quantum Inf. Process., 2005)

An Evaluation of Singular Value Computation by the Discrete Lotka-Volterra System - Masami Takata; Masashi Iwasaki; Kinji Kimura; Yoshimasa Nakamura (Proceedings of the International Conference on Parallel and Distributed Processing Techniques and Applications, PDPTA 2005, Las Vegas, Nevada, USA, June 27-30, 2005, Volume 2, 2005)