High-speed computation method for condition numbers in the range restricted general minimum residual method.

Kinji Kimura

Miho Chiyonobu Masami Takata Kinji Kimura Yoshimasa Nakamura High-speed computation method for condition numbers in the range restricted general minimum residual method. 707 2025 May 81 J. Supercomput. 7 https://doi.org/10.1007/s11227-024-06868-2 db/journals/tjs/tjs81.html#ChiyonobuTKN25 streams/journals/tjs

Miho Chiyonobu Takahiro Miyamae Masami Takata Jun Harayama Kinji Kimura Yoshimasa Nakamura Singular value decomposition for complex matrices using two-sided Jacobi method. 11719-11740 2024 May 80 J. Supercomput. 8 https://doi.org/10.1007/s11227-024-05903-6 https://www.wikidata.org/entity/Q128886794 db/journals/tjs/tjs80.html#ChiyonobuMTHKN24

Sho Araki Kinji Kimura Yusaku Yamamoto Yoshimasa Nakamura Implementation details of an extended oqds algorithm for singular values. 9-12 2015 7 JSIAM Lett. https://doi.org/10.14495/jsiaml.7.9 db/journals/jsiaml/jsiaml7.html#ArakiKYN15

Takumi Yamashita Kinji Kimura Yusaku Yamamoto A new subtraction-free formula for lower bounds of the minimal singular value of an upper bidiagonal matrix. 893-912 2015 69 Numer. Algorithms 4 https://doi.org/10.1007/s11075-014-9931-z db/journals/na/na69.html#YamashitaKY15

Hiroyuki Ishigami Kinji Kimura Yoshimasa Nakamura A New Parallel Symmetric Tridiagonal Eigensolver Based on Bisection and Inverse Iteration Algorithms for Shared-Memory Multi-core Processors. 216-223 2015 3PGCIC https://doi.org/10.1109/3PGCIC.2015.26 conf/3pgcic/2015 db/conf/3pgcic/3pgcic2015.html#IshigamiKN15 Hiroyuki Ishigami Kinji Kimura Yoshimasa Nakamura GPU Implementation of Inverse Iteration Algorithm for Computing Eigenvectors. 664-671 2014 PDP https://doi.org/10.1109/PDP.2014.39 https://doi.ieeecomputersociety.org/10.1109/PDP.2014.39 conf/pdp/2014 db/conf/pdp/pdp2014.html#IshigamiKN14

Takumi Yamashita Kinji Kimura Masami Takata Yoshimasa Nakamura An application of the Kato-Temple inequality on matrix eigenvalues to the dqds algorithm for singular values. 21-24 2013 5 JSIAM Lett. https://doi.org/10.14495/jsiaml.5.21 db/journals/jsiaml/jsiaml5.html#YamashitaKTN13

Hiroki Toyokawa Hiroyuki Ishigami Kinji Kimura Masami Takata Yoshimasa Nakamura Accelerating the Reorthogonalization of Singular Vectors with a Multi-core Processor. 379-390 2012 VECPAR https://doi.org/10.1007/978-3-642-38718-0_35 conf/vecpar/2012 db/conf/vecpar/vecpar2012.html#ToyokawaIKTN12

Hiroyuki Ishigami Kinji Kimura Yoshimasa Nakamura On Implementation and Evaluation of Inverse Iteration Algorithm with compact WY Orthogonalization http://arxiv.org/abs/1209.1910 2012 CoRR abs/1209.1910 db/journals/corr/corr1209.html#abs-1209-1910

Jun-ichi Muramatsu Takeshi Fukaya Shao-Liang Zhang Kinji Kimura Yusaku Yamamoto Acceleration of Hessenberg Reduction for Nonsymmetric Eigenvalue Problems in a Hybrid CPU-GPU Computing Environment. 132-143 2011 1 Int. J. Netw. Comput. 2 http://www.ijnc.org/index.php/ijnc/article/view/20 db/journals/ijnc/ijnc1.html#MuramatsuFZKY11

Hiroshi Yoshida Kinji Kimura Naoki Yoshida Junko Tanaka Yoshihiro Miwa Algebraic Approaches to Underdetermined Experiments in Biology. 1218-1225 2010 5 Inf. Media Technol. 4 https://doi.org/10.11185/imt.5.1218 db/journals/imt/imt5.html#YoshidaKYTM10

Masami Takata Kinji Kimura Yoshimasa Nakamura Generating Algorithms for Matrices with Large Condition Number to Evaluate Singular Value Decomposition. 619-625 2010 PDPTA conf/pdpta/2010 db/conf/pdpta/pdpta2010.html#TakataKN10

Hiroki Toyokawa Kinji Kimura Masami Takata Yoshimasa Nakamura On parallelism of the I-SVD algorithm with a multi-core processor. 48-51 2009 1 JSIAM Lett. https://doi.org/10.14495/jsiaml.1.48 db/journals/jsiaml/jsiaml1.html#ToyokawaKTN09

Junko Asakura Tetsuya Sakurai Hiroto Tadano Tsutomu Ikegami Kinji Kimura A numerical method for nonlinear eigenvalue problems using contour integrals. 52-55 2009 1 JSIAM Lett. https://doi.org/10.14495/jsiaml.1.52 db/journals/jsiaml/jsiaml1.html#AsakuraSTIK09

Kenichi Yadani Kinji Kimura Yoshimasa Nakamura Numerical Algorithms for Solving the Optimal PWM Problem on Multiple-Precision Arithmetic with Theory of Orthogonal Polynomials. 697-703 2009 PDPTA conf/pdpta/2009 db/conf/pdpta/pdpta2009.html#YadaniKN09 Masami Takata Kinji Kimura Yoshimasa Nakamura Speed-Up in mdLVs by Limitation in Computational Number of Shift. 704-710 2009 PDPTA conf/pdpta/2009 db/conf/pdpta/pdpta2009.html#TakataKN09 Hiroki Toyokawa Kinji Kimura Masami Takata Yoshimasa Nakamura On Parallelization of the I-SVD Algorithm and its Evaluation for Clustered Singular Values. 711-717 2009 PDPTA conf/pdpta/2009 db/conf/pdpta/pdpta2009.html#ToyokawaKTN09 Tetsuya Sakurai Junko Asakura Hiroto Tadano Tsutomu Ikegami Kinji Kimura A method for finding zeros of polynomial equations using a contour integral based eigensolver. 143-148 2009 SNC https://doi.org/10.1145/1577190.1577213 conf/snc/2009 db/conf/snc/snc2009.html#SakuraiATIK09 Yusaku Yamamoto Takeshi Fukaya Takashi Uneyama Masami Takata Kinji Kimura Masashi Iwasaki Yoshimasa Nakamura Accelerating the Singular Value Decomposition of Rectangular Matrices with the CSX600 and the Integrable SVD. 340-345 2007 conf/pact/2007 PaCT https://doi.org/10.1007/978-3-540-73940-1_35 db/conf/pact/pact2007.html#YamamotoFUTKIN07 Masami Takata Kinji Kimura Masashi Iwasaki Yoshimasa Nakamura Algorithms for Generating Bidiagonal Test Matrices. 732-738 2007 conf/pdpta/2007-2 PDPTA db/conf/pdpta/pdpta2007-2.html#TakataKIN07 Masami Takata Kinji Kimura Masashi Iwasaki Yoshimasa Nakamura Performance of a New Scheme for Bidiagonal Singular Value Decomposition of Large Scale. 304-309 2006 conf/pdcn/2006 Parallel and Distributed Computing and Networks db/conf/pdcn/pdcn2006.html#TakataKIN06 Hiroaki Tsuboi Taro Konda Masami Takata Kinji Kimura Masashi Iwasaki Yoshimasa Nakamura Evaluation of a New Eigen Decomposition Algorithm for Symmetric Tridiagonal Matrices. 832-838 2006 conf/pdpta/2006-2 PDPTA db/conf/pdpta/pdpta2006-2.html#TsuboiKTKIN06 Masami Takata Taro Konda Kinji Kimura Yoshimasa Nakamura Verification of dLVv Transformation for Singular Vector Computation with High Accuracy. 881-887 2006 conf/pdpta/2006-2 PDPTA db/conf/pdpta/pdpta2006-2.html#TakataKKN06

Yasuhito Kawano Kinji Kimura Hiroshi Sekigawa Masayuki Noro Kiyoshi Shirayanagi Masahiro Kitagawa Masanao Ozawa Existence of the Exact CNOT on a Quantum Computer with the Exchange Interaction. 65-85 2005 4 Quantum Inf. Process. 2 https://doi.org/10.1007/s11128-005-4480-y db/journals/qip/qip4.html#KawanoKSNSKO05

Masami Takata Masashi Iwasaki Kinji Kimura Yoshimasa Nakamura An Evaluation of Singular Value Computation by the Discrete Lotka-Volterra System. 410-416 2005 conf/pdpta/2005-2 PDPTA db/conf/pdpta/pdpta2005-2.html#TakataIKN05 Sho Araki Junko Asakura Miho Chiyonobu Takeshi Fukaya Jun Harayama Tsutomu Ikegami Hiroyuki Ishigami Masashi Iwasaki Yasuhito Kawano Masahiro Kitagawa Taro Konda Yoshihiro Miwa Takahiro Miyamae Jun-ichi Muramatsu Yoshimasa Nakamura Masayuki Noro Masanao Ozawa Tetsuya Sakurai Hiroshi Sekigawa Kiyoshi Shirayanagi Hiroto Tadano Masami Takata Junko Tanaka Hiroki Toyokawa Hiroaki Tsuboi Takashi Uneyama Kenichi Yadani Yusaku Yamamoto Takumi Yamashita Hiroshi Yoshida Naoki Yoshida Shao-Liang Zhang