関連発行物

書籍

  • 櫻井 鉄也, 松尾 宇泰, 片桐 孝洋 編集, 数値線形代数の数理とHPC,日本応用数理学会監修, シリーズ応用数理 第6巻, 共立出版, 2018年8月31日発行, ISBN 978-4-320-019553. 出版社のページ電子書籍に関するページ
    • 第1章 連立一次方程式の数値解法
    • 第2章 固有値・特異値問題の数値解法
    • 第3章 最小二乗問題の数値解法
    • 第4章 行列関数の数値計算法
    • 第5章 連立一次方程式の数値解法における並列計算
    • 第6章 固有値・特異値問題における並列計算
    • 第7章 並列計算におけるそのほかの話題

日本応用数理学会論文誌

特集:行列固有値

理論
応用
  • 白間 久瑠美, 工藤 周平, 山本 有作, 荻田・相島の固有ベクトル反復改良法に基づく実対称行列の固有値分解追跡手法, 29巻, 1号, pp. 78-120, 2019年. [論文賞(応用部門)]
    https://doi.org/10.11540/jsiamt.29.1_78
ノート
  • 立岡 文理, 曽我部 知広, 宮武 勇登, 張 紹良, 二重指数関数型数値積分公式を用いた行列実数乗の計算, 28巻 3号, pp. 142-161, 2018年.
    https://doi.org/10.11540/jsiamt.28.3_142
  • 李 東珍, 曽我部 知広, 宮武 勇登, 張 紹良,指定番目の特異値と特異ベクトルの計算について, 29巻, 1号, pp. 121-140, 2019年.
    https://doi.org/10.11540/jsiamt.29.1_121
  • 関川 悠太, 二村 保徳, 今倉 暁, 櫻井 鉄也, 複数右辺ベクトルを持つシフト線形方程式に対する多項式前処理の有効性の検証, 29巻, 1号, pp. 141-164, 2019年.
    https://doi.org/10.11540/jsiamt.29.1_141

特集:平成21年研究部会連合発表会 行列・固有値問題の解法とその応用

理論
  • 宮田 考史, 杜 磊, 曽我部 知広, 山本 有作, 張 紹良, 多重連結領域の固有値問題に対するSakurai-Sugiura法の拡張, 19巻, 4号, pp. 537-550, 2009年.
    https://doi.org/10.11540/jsiamt.19.4_537
応用
  • 則竹 渚宇, 今倉 暁, 山本 有作, 張 紹良, 行列の指数関数に基づく連立線形常微分方程式の大粒度並列解法とその評価, 19巻, 3号, pp. 293-312, 2009年.[論文賞(応用部門)]
    https://doi.org/10.11540/jsiamt.19.3_293
ノート
  • 幸谷 智紀, 倍精度と多倍長精度浮動小数点数を用いた反復改良法による連立一次方程式の高精度高速解法について, 19巻, 3号, pp. 121-142, 2009年.
    https://doi.org/10.11540/jsiamt.19.3_313
  • 尾上 勇介, 藤野 清次, IDR(s)法系統の反復法に適用可能な計算量削減の工夫, 19巻, 3 号 pp. 329-350, 2009年.
    https://doi.org/10.11540/jsiamt.19.3_329
  • 今倉 暁, 曽我部 知広, 張 紹良, GMRES(m)法のリスタートについて, 19巻, 4号 pp. 551-564, 2009年.[論文賞(ノート部門)]
    https://doi.org/10.11540/jsiamt.19.4_551

特集:平成20年研究部会連合発表会 行列・固有値問題の解法とその応用

理論
  • 宮田 考史, 岩崎 雅史, 山本 有作, 張 紹良, 対称三重対角行列向けマルチシフトQR法の漸近的収束性解析, 18巻, 4号, pp. 563-577, 2008年.
    https://doi.org/10.11540/jsiamt.18.4_563
実用

特集:平成19年研究部会連合発表会 行列・固有値問題の解法とその応用

理論
応用
  • 伊藤 信貴, 奈良 高明, 櫻井 鉄也, 複素モーメントに基づく画像特徴抽出, 18巻, 1号, pp. 135-153, 2008年.[論文賞(応用部門)]
    https://doi.org/10.11540/jsiamt.18.1_135
  • 前田 祥兵, 阿部 邦美, 曽我部 知広, 張 紹良, AOR法を用いた可変的前処理付き一般化共役残差法, 18巻, 1号, pp. 155-170, 2008年.
    https://doi.org/10.11540/jsiamt.18.1_155
ノート

特集:平成18年研究部会連合発表会 行列・固有値問題の解法とその応用

理論
ノート
サーベイ

特集:平成17年研究部会連合発表会 行列・固有値問題の解法とその応用

理論
応用
ノート
  • 呂 毅斌, 伊東 拓, 伊藤 祥司, 櫻井 鉄也, Pade近似を用いた数値等角写像計算のArnoldi法による精度改善, 15巻, 3号, pp. 495-508, 2005年.
    ttps://doi.org/10.11540/jsiamt.15.3_495

特集:行列・固有値問題における線形計算アルゴリズムとその応用

理論
応用
実用
ノート
  • 曽我部 知広, 鄭 波, 橋本 康, 張 紹良, 非対称Toeplitz行列のための置換行列による前処理, 15巻, 2号, pp.159-168, 2005年.
    https://doi.org/10.11540/jsiamt.15.2_159
  • 稲富 雄一, 梅田 宏明, 渡邊 寿雄, 櫻井 鉄也, 長嶋 雲兵, FMO-MO法における大規模分子軌道計算 : 解くべき固有値問題の特徴, 15巻, 2号, pp. 169-170, 2005年
    https://doi.org/10.11540/jsiamt.15.2_169
サーベイ
  • 山本 有作, 密行列固有値解法の最近の発展(I) : Multiple Relatively Robust Representationsアルゴリズム, 15巻, 2号, pp. 181-208, 2005年.[論文賞(サーベイ部門)]
    https://doi.org/10.11540/jsiamt.15.2_181

JSIAM Letters

2024

  • Tomoya Miyashita, Shuhei Kudo, Yusaku Yamamoto, Roundoff error analysis of the double-exponential formula-based method for the matrix sign function, Volume 16, pp. 13-16.
    https://doi.org/10.14495/jsiaml.16.13

2023

2022

  • Hisashi Kohashi, Harumichi Iwamoto, Takeshi Fukaya, Yusaku Yamamoto, Takeo Hoshi, Performance prediction of massively parallel computation by Bayesian inference, Volume 14, pp. 13-16.
    https://doi.org/10.14495/jsiaml.14.13
  • Shota Ishikawa, Hiroto Tadano, Ayumu Saitoh, Application and performance evaluation of a method using block structures for saddle point problems appearing in image reconstruction problems, Volume 14, pp. 115-118.
    https://doi.org/10.14495/jsiaml.14.115
  • Yusaku Yamamoto, Shuhei Kudo, Takeo Hoshi, Error analysis of the truncated Taylor series expansion method for computing matrix exponential, Volume 14, pp. 147-150.
    https://doi.org/10.14495/jsiaml.14.147

2021

2020

2019

  • Hiroaki Seito, Takeo Hoshi, Yusaku Yamamoto, On using the shifted minimal residual method for quantum-mechanical wave packet simulation, Volume 11, pp. 13-16.
    https://doi.org/10.14495/jsiaml.11.13
  • Kenta Kabashima, Tianxiong Wu, Takaaki Nara, Reconstruction of current dipoles based on tensor decomposition of multipole coefficients, Volume 11, pp. 29-32.
    https://doi.org/10.14495/jsiaml.11.29

2018

  • Yushi Morijiri, Kensuke Aishima, Takayasu Matsuo, Extension of an error analysis of the randomized Kaczmarz method for inconsistent linear systems, Volume 10, pp. 17-20.
    https://doi.org/10.14495/jsiaml.10.17
  • Haruka Yamada, Akira Imakura, Tetsuya Sakurai, Cost-efficient cutoff method for tensor renormalization group with randomized singular value decomposition, Volume 10, pp. 61-64.
    https://doi.org/10.14495/jsiaml.10.61
  • Takahiro Yano, Yasunori Futamura, Akira Imakura, Tetsuya Sakurai, Performance evaluation of the Sakurai-Sugiura method with a block Krylov subspace linear solver for large dense Hermitian-definite generalized eigenvalue problems, Volume 10, pp. 77-80.
    https://doi.org/10.14495/jsiaml.10.77

2017

  • Yusaku Yamamoto, Shuhei Kudo, Probabilistic analysis of an estimator for the Frobenius norm of a matrix product, Volmue 9, pp. 9-12.
    https://doi.org/10.14495/jsiaml.9.9
  • Hongjia Chen, Yasuyuki Maeda, Akira Imakura, Tetsuya Sakurai, Francoise Tisseur, Improving the numerical stability of the Sakurai-Sugiura method for quadratic eigenvalue problems, Volume 9, pp. 17-20.
    https://doi.org/10.14495/jsiaml.9.17
  • Takeshi Iwashita, Shigeru Kawaguchi, Takeshi Mifune, Tetsuji Matsuo, Automatic mapping operator construction for subspace correction method to solve a series of linear systems, Volume 9, pp. 25-28.
    https://doi.org/10.14495/jsiaml.9.25

2016

  • Tetsuya Hasegawa, Akira Imakura, Tetsuya Sakurai, Recovering from accuracy deterioration in the contour integral-based eigensolver, Volume 8, pp. 1-4.
    https://doi.org/10.14495/jsiaml.8.1
  • Yusaku Yamamoto, Yuji Nakatsukasa, Yuka Yanagisawa, Takeshi Fukaya, Roundoff error analysis of the CholeskyQR2 algorithm in an oblique inner product, Volume 8, pp. 5-8.
    https://doi.org/10.14495/jsiaml.8.5
  • Sho Mizuno, Yosuke Moriizumi, Tsuyoshi S. Usuda, Tomohiro Sogabe, An initial guess of Newton’s method for the matrix square root based on a sphere constrained optimization problem, Volume 8, pp. 17-20.
    https://doi.org/10.14495/jsiaml.8.17
  • Tomonori Kouya, Performance evaluation of multiple precision matrix multiplications using parallelized Strassen and Winograd algorithms, Volume 8, pp. 21-24.
    https://doi.org/10.14495/jsiaml.8.21
  • Shinsuke Nakamura, Kazufumi Ozawa, Chiaki Hirota, Scaling and modified squaring method for the matrix exponential, Volume 8, pp. 65-68.
    https://doi.org/10.14495/jsiaml.8.65

2015

  • Tomonori Murakoshi, Takayasu Matsuo, A fast alternating least squares method for third-order tensors based on a compression procedure, Volume 7, pp. 5-8.
    https://doi.org/10.14495/jsiaml.7.5
  • Sho Araki, Kinji Kimura, Yusaku Yamamoto, Yoshimasa Nakamura, Implementation details of an extended oqds algorithm for singular values, Volume 7, pp. 9-12.
    https://doi.org/10.14495/jsiaml.7.9
  • Hiroyuki Sato, Joint singular value decomposition algorithm based on the Riemannian trust-region method, 7, pp. 13-16.
    https://doi.org/10.14495/jsiaml.7.13
  • Lijiong Su, Akira Imakura, Hiroto Tadano, Tetsuya Sakurai, Improving the convergence behaviour of BiCGSTAB by applying D-norm minimization, Volume 7, pp. 37-40.
    https://doi.org/10.14495/jsiaml.7.37
  • Yasuyuki Maeda, Yasunori Futamura, Akira Imakura, Tetsuya Sakurai, Filter analysis for the stochastic estimation of eigenvalue counts, Volume 7, pp. 53-56.
    https://doi.org/10.14495/jsiaml.7.53

2014

  • Yusaku Yamamoto, Zhang Lan, Shuhei Kudo, Convergence analysis of the parallel classical block Jacobi method for the symmetric eigenvalue problem, Volume 6, pp. 57-60.
    https://doi.org/10.14495/jsiaml.6.57
  • Hiroto Tadano, Youichi Ishikawa, Akira Imakura, Improvement of the accuracy of the approximate solution of the Block BiCR method, Volume 6, pp. 61-64.
    https://doi.org/10.14495/jsiaml.6.61
  • Shusaku Saito, Hiroto Tadano, Akira Imakura, Development of the Block BiCGSTAB($\ell$) method for solving linear systems with multiple right hand sides, Volume 6, pp. 65-68.
    https://doi.org/10.14495/jsiaml.6.65
  • Tomonori Kouya, Accelerated multiple precision matrix multiplication using Strassen’s algorithm and Winograd’s variant, Volume 6, pp. 81-84.
    https://doi.org/10.14495/jsiaml.6.81

2013

  • Satoko Kikkawa, Tsubasa Saito, Emiko Ishiwata, Hidehiko Hasegawa, Development and acceleration of multiple precision arithmetic toolbox MuPAT for Scilab, Volume 5, pp. 9-12.
    https://doi.org/10.14495/jsiaml.5.9
  • 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, Volume 5, pp. 21-24.
    https://doi.org/10.14495/jsiaml.5.21
  • Shinnosuke Yokota, Tetsuya Sakurai, A projection method for nonlinear eigenvalue problems using contour integrals, Volume 5, pp. 41-44.
    https://doi.org/10.14495/jsiaml.5.41
  • Akira Imakura, Lei Du, Hiroto Tadano, A Weighted Block GMRES method for solving linear systems with multiple right-hand sides, Volume 5, pp. 65-68.
    https://doi.org/10.14495/jsiaml.5.65

2012

  • Takuya Matsumoto, Kenji Kudo, Yutaka Kuwajima, Takaomi Shigehara, Algorithm for solving Jordan problem of block Schur form, Volume 4, pp. 9-12.
    https://doi.org/10.14495/jsiaml.4.9
  • Michihiro Naito, Hiroto Tadano, Tetsuya Sakurai, A modified Block IDR($s$) method for computing high accuracy solutions, Volume 4, pp. 25-28.
    https://doi.org/10.14495/jsiaml.4.25
  • Akira Imakura, Tetsuya Sakurai, Kohsuke Sumiyoshi, Hideo Matsufuru, A parameter optimization technique for a weighted Jacobi-type preconditioner, Volume 4, pp. 41-44.
    https://doi.org/10.14495/jsiaml.4.41

2011

  • Ikuro Yamazaki, Hiroto Tadano, Tetsuya Sakurai, Keita Teranishi, A convergence improvement of the BSAIC preconditioner by deflation, Volume 3, pp. 5-8.
    https://doi.org/10.14495/jsiaml.3.5
  • Yusuke Hirota, Yusaku Yamamoto, Shao-Liang Zhang, Cache optimization of a non-orthogonal joint diagonalization method, Volume 3, pp. 9-12.
    https://doi.org/10.14495/jsiaml.3.9
  • Lei Du, Tomohiro Sogabe, Shao-Liang Zhang, Quasi-minimal residual smoothing technique for the IDR($s$) method, Volume 3, pp. 13-16.
    https://doi.org/10.14495/jsiaml.3.13
  • Akitaka Sawamura, A new approach to find a saddle point efficiently based on the Davidson method, Volume 3, pp. 17-19.
    https://doi.org/10.14495/jsiaml.3.17
  • Yasuyuki Maeda, Yasunori Futamura, Tetsuya Sakurai, Stochastic estimation method of eigenvalue density for nonlinear eigenvalue problem on the complex plane, Volume 3, pp. 61-64.
    https://doi.org/10.14495/jsiaml.3.61
  • Hiroyuki Aoshika, Takaaki Nara, Kaoru Amano, Tsunehiro Takeda, Computation of multipole moments from incomplete boundary data for Magnetoencphalography inverse problem, Volume 3, pp. 65-68.
    https://doi.org/10.14495/jsiaml.3.65
  • Kensuke Aihara, Kuniyoshi Abe, Emiko Ishiwata, An alternative implementation of the IDRstab method saving vector updates, Volume  3, pp. 69-72.
    https://doi.org/10.14495/jsiaml.3.69
  • Yusaku Yamamoto, Yusuke Hirota, A parallel algorithm for incremental orthogonalization based on the compact WY representation, Volume 3, pp. 89-92.
    https://doi.org/10.14495/jsiaml.3.89

2010

  • Kenichi Yadani, Koichi Kondo, Masashi Iwasaki, On the convergence of the V-type hyperplane constrained method for singular value decomposition, Volume 2, pp. 21-24.
    https://doi.org/10.14495/jsiaml.2.21
  • Kenichi Yadani, Koichi Kondo, Masashi Iwasaki, Mixed double-multiple precision version of hyperplane constrained method for singular value decomposition, Volume 2, pp. 25-28.
    https://doi.org/10.14495/jsiaml.2.25
  • Ikuro Yamazaki, Masayuki Okada, Hiroto Tadano, Tetsuya Sakurai, Keita Teranishi, A block sparse approximate inverse with cutoff preconditioner for semi-sparse linear systems derived from Molecular Orbital calculations, Volume 2, pp. 41-44.
    https://doi.org/10.14495/jsiaml.2.41
  • Yusaku Yamamoto, Takeshi Fukaya, Differential qd algorithm for totally nonnegative Hessenberg matrices: introduction of origin shifts and relationship with the discrete hungry Lotka-Volterra system, Volume 2, pp. 69-72.
    https://doi.org/10.14495/jsiaml.2.69
  • Kensuke Aihara, Emiko Ishiwata, Kuniyoshi Abe, A strategy of reducing the inner iteration counts for the variable preconditioned GCR({$\vc{m}$}) method, Volume 2, pp. 77-80.
    https://doi.org/10.14495/jsiaml.2.77
  • Yutaka Kuwajima, Youichiro Shimizu, Takaomi Shigehara, Proposal and efficient implementation of multiple division divide-and-conquer algorithm for SVD, Volume 2, pp. 91-94.
    https://doi.org/10.14495/jsiaml.2.91
  • Hiroshi Ohno, Yoshinobu Kuramashi, Tetsuya Sakurai, Hiroto Tadano, A quadrature-based eigensolver with a Krylov subspace method for shifted linear systems for Hermitian eigenproblems in lattice QCD, Volume 2, pp. 115-118.
    https://doi.org/10.14495/jsiaml.2.115
  • Kenji Kudo, Yoshiaki Kakinuma, Kazuyuki Hiraoka, Hiroki Hashiguchi, Yutaka Kuwajima, Takaomi Shigehara, Algorithm for computing Jordan basis, Volume 2, pp. 119-122.
    https://doi.org/10.14495/jsiaml.2.119
  • Yasunori Futamura, Hiroto Tadano, Tetsuya Sakurai, Parallel stochastic estimation method of eigenvalue distribution, Volume 2, pp. 127-130.
    https://doi.org/10.14495/jsiaml.2.127
  • Takanori Maehara, Kazuo Murota, Error-controlling algorithm for simultaneous block-diagonalization and its application to independent component analysis, Volume 2, pp. 131-134.
    https://doi.org/10.14495/jsiaml.2.131

2009

  • Akitaka Sawamura, Reformulation of the Anderson method using singular value decomposition for stable convergence in self-consistent calculations, Volume 1, pp. 32-35.
    https://doi.org/10.14495/jsiaml.1.32
  • Koichi Kondo, Shinji Yasukouchi, Masashi Iwasaki, Eigendecomposition algorithms solving sequentially quadratic systems by Newton method, Volume 1, pp. 40-43.
    https://doi.org/10.14495/jsiaml.1.40
  • Hiroto Tadano, Tetsuya Sakurai, Yoshinobu Kuramashi, Block BiCGGR: a new Block Krylov subspace method for computing high accuracy solutions, Volume 1, pp. 44-47.
    https://doi.org/10.14495/jsiaml.1.44
  • Hiroki Toyokawa, Kinji Kimura, Masami Takata, Yoshimasa Nakamura, On parallelism of the I-SVD algorithm with a multi-core processor, Volume 1, pp. 48-51.
    https://doi.org/10.14495/jsiaml.1.48
  • Junko Asakura, Tetsuya Sakurai, Hiroto Tadano, Tsutomu Ikegami, Kinji Kimura, A numerical method for nonlinear eigenvalue problems using contour integrals, Volume 1, pp. 52-55.
    https://doi.org/10.14495/jsiaml.1.52
  • Yusaku Yamamoto, Takeshi Fukaya, Differential qd algorithm for totally nonnegative band matrices: convergence properties and error analysis, Volume 1, pp. 56-59.
    https://doi.org/10.14495/jsiaml.1.56
  • Yoshiaki Kakinuma, Kazuyuki Hiraoka, Hiroki Hashiguchi, Yutaka Kuwajima, Takaomi Shigehara, Algorithm for computing Kronecker basis, Volume 1, pp. 60-63.
    https://doi.org/10.14495/jsiaml.1.60
  • Tetsuya Sakurai, Junko Asakura, Hiroto Tadano, Tsutomu Ikegami, Error analysis for a matrix pencil of Hankel matrices with perturbed complex moments, Volume 1, pp. 76-79.
    https://doi.org/10.14495/jsiaml.1.76

学会誌 応用数理

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JSIAM Online Magazine (JOM)

学術会合報告

研究部会だより