Edit Profile (opens in new tab) Aishima, Kensuke Co-Author Distance Author ID: aishima.kensuke Published as: Aishima, Kensuke Homepage: https://aishima.cis.k.hosei.ac.jp/index_en.html External Links: dblp Documents Indexed: 27 Publications since 2008, including 1 Additional arXiv Preprint Co-Authors: 9 Co-Authors with 13 Joint Publications 285 Co-Co-Authors all top 5 Co-Authors 14 single-authored 8 Matsuo, Takayasu 7 Murota, Kazuo 6 Sugihara, Masaaki 3 Ogita, Takeshi 1 Ito, Shinji 1 Morijiri, Yushi 1 Nakatsukasa, Yuji 1 Nara, Takaaki 1 Yamazaki, Ichitaro all top 5 Serials 8 Journal of Computational and Applied Mathematics 8 Japan Journal of Industrial and Applied Mathematics 3 Linear Algebra and its Applications 3 JSIAM Letters 2 SIAM Journal on Matrix Analysis and Applications 1 Numerische Mathematik 1 Journal of Math-for-Industry all top 5 Fields 23 Numerical analysis (65-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 3 Statistics (62-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Probability theory and stochastic processes (60-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 19 Publications have been cited 78 times in 40 Documents Cited by ▼ Year ▼ Iterative refinement for symmetric eigenvalue decomposition. Zbl 1403.65018 Ogita, Takeshi; Aishima, Kensuke 11 2018 A quadratically convergent algorithm based on matrix equations for inverse eigenvalue problems. Zbl 1418.65053 Aishima, Kensuke 8 2018 Iterative refinement for symmetric eigenvalue decomposition. II. Clustered eigenvalues. Zbl 1418.65049 Ogita, Takeshi; Aishima, Kensuke 8 2019 On convergence of the DQDS algorithm for singular value computation. Zbl 1165.65018 Aishima, Kensuke; Matsuo, Takayasu; Murota, Kazuo; Sugihara, Masaaki 7 2008 Global convergence of the restarted Lanczos and Jacobi-Davidson methods for symmetric eigenvalue problems. Zbl 1325.65050 Aishima, Kensuke 6 2015 Rigorous proof of cubic convergence for the dqds algorithm for singular values. Zbl 1153.65041 Aishima, Kensuke; Matsuo, Takayasu; Murota, Kazuo 5 2008 A quadratically convergent algorithm for inverse eigenvalue problems with multiple eigenvalues. Zbl 1392.65104 Aishima, Kensuke 4 2018 A shift strategy for superquadratic convergence in the dqds algorithm for singular values. Zbl 1294.65043 Aishima, Kensuke; Matsuo, Takayasu; Murota, Kazuo; Sugihara, Masaaki 4 2014 dqds with aggressive early deflation. Zbl 1248.65042 Nakatsukasa, Yuji; Aishima, Kensuke; Yamazaki, Ichitaro 3 2012 A survey on convergence theorems of the dqds algorithm for computing singular values. Zbl 1210.65088 Aishima, Kensuke; Matsuo, Takayasu; Murota, Kazuo; Sugihara, Masaaki 3 2010 A Wilkinson-like multishift QR algorithm for symmetric eigenvalue problems and its global convergence. Zbl 1247.65046 Aishima, Kensuke; Matsuo, Takayasu; Murota, Kazuo; Sugihara, Masaaki 3 2012 On convergence of iterative projection methods for symmetric eigenvalue problems. Zbl 1382.65096 Aishima, Kensuke 3 2017 Iterative refinement for singular value decomposition based on matrix multiplication. Zbl 1431.65045 Ogita, Takeshi; Aishima, Kensuke 3 2020 Superquadratic convergence of DLASQ for computing matrix singular values. Zbl 1198.65078 Aishima, Kensuke; Matsuo, Takayasu; Murota, Kazuo; Sugihara, Masaaki 2 2010 A note on the dqds algorithm with Rutishauser’s shift for singular values. Zbl 1231.65067 Aishima, Kensuke; Matsuo, Takayasu; Murota, Kazuo 2 2011 A note on the Rayleigh quotient iteration for symmetric eigenvalue problems. Zbl 1309.65039 Aishima, Kensuke 2 2014 Strong convergence for the dynamic mode decomposition based on the total least squares to noisy datasets. Zbl 1448.62090 Aishima, Kensuke 2 2020 Extension of an error analysis of the randomized Kaczmarz method for inconsistent linear systems. Zbl 1433.65066 Morijiri, Yushi; Aishima, Kensuke; Matsuo, Takayasu 1 2018 Consistent estimation for an errors-in-variables model based on constrained total least squares problems. Zbl 07614446 Aishima, Kensuke 1 2022 Consistent estimation for an errors-in-variables model based on constrained total least squares problems. Zbl 07614446 Aishima, Kensuke 1 2022 Iterative refinement for singular value decomposition based on matrix multiplication. Zbl 1431.65045 Ogita, Takeshi; Aishima, Kensuke 3 2020 Strong convergence for the dynamic mode decomposition based on the total least squares to noisy datasets. Zbl 1448.62090 Aishima, Kensuke 2 2020 Iterative refinement for symmetric eigenvalue decomposition. II. Clustered eigenvalues. Zbl 1418.65049 Ogita, Takeshi; Aishima, Kensuke 8 2019 Iterative refinement for symmetric eigenvalue decomposition. Zbl 1403.65018 Ogita, Takeshi; Aishima, Kensuke 11 2018 A quadratically convergent algorithm based on matrix equations for inverse eigenvalue problems. Zbl 1418.65053 Aishima, Kensuke 8 2018 A quadratically convergent algorithm for inverse eigenvalue problems with multiple eigenvalues. Zbl 1392.65104 Aishima, Kensuke 4 2018 Extension of an error analysis of the randomized Kaczmarz method for inconsistent linear systems. Zbl 1433.65066 Morijiri, Yushi; Aishima, Kensuke; Matsuo, Takayasu 1 2018 On convergence of iterative projection methods for symmetric eigenvalue problems. Zbl 1382.65096 Aishima, Kensuke 3 2017 Global convergence of the restarted Lanczos and Jacobi-Davidson methods for symmetric eigenvalue problems. Zbl 1325.65050 Aishima, Kensuke 6 2015 A shift strategy for superquadratic convergence in the dqds algorithm for singular values. Zbl 1294.65043 Aishima, Kensuke; Matsuo, Takayasu; Murota, Kazuo; Sugihara, Masaaki 4 2014 A note on the Rayleigh quotient iteration for symmetric eigenvalue problems. Zbl 1309.65039 Aishima, Kensuke 2 2014 dqds with aggressive early deflation. Zbl 1248.65042 Nakatsukasa, Yuji; Aishima, Kensuke; Yamazaki, Ichitaro 3 2012 A Wilkinson-like multishift QR algorithm for symmetric eigenvalue problems and its global convergence. Zbl 1247.65046 Aishima, Kensuke; Matsuo, Takayasu; Murota, Kazuo; Sugihara, Masaaki 3 2012 A note on the dqds algorithm with Rutishauser’s shift for singular values. Zbl 1231.65067 Aishima, Kensuke; Matsuo, Takayasu; Murota, Kazuo 2 2011 A survey on convergence theorems of the dqds algorithm for computing singular values. Zbl 1210.65088 Aishima, Kensuke; Matsuo, Takayasu; Murota, Kazuo; Sugihara, Masaaki 3 2010 Superquadratic convergence of DLASQ for computing matrix singular values. Zbl 1198.65078 Aishima, Kensuke; Matsuo, Takayasu; Murota, Kazuo; Sugihara, Masaaki 2 2010 On convergence of the DQDS algorithm for singular value computation. Zbl 1165.65018 Aishima, Kensuke; Matsuo, Takayasu; Murota, Kazuo; Sugihara, Masaaki 7 2008 Rigorous proof of cubic convergence for the dqds algorithm for singular values. Zbl 1153.65041 Aishima, Kensuke; Matsuo, Takayasu; Murota, Kazuo 5 2008 all cited Publications top 5 cited Publications all top 5 Cited by 63 Authors 13 Aishima, Kensuke 4 Matsuo, Takayasu 4 Murota, Kazuo 3 Ogita, Takeshi 2 Jin, Xiaoqing 2 Kressner, Daniel 2 Miao, Cun-Qiang 2 Ozaki, Katsuhisa 2 Sugihara, Masaaki 2 Terao, Takeshi 2 Yamamoto, Yusaku 2 Yao, Tengteng 2 Zhao, Zhi 1 Abdolmaleki, Mohammad 1 Abolghasemi, Hossein 1 Ahmadnasab, Morad 1 Aldeen, Mohammad 1 Barrio, Roberto 1 Benner, Peter 1 Bujanović, Zvonimir 1 Chen, Xiaoshan 1 Cheng, Lan 1 Dai, Hua 1 Du, Peibing 1 Dumitrasc, Andrei 1 Fatoorehchi, Hooman 1 Goulart, Paul J. 1 Hajarian, Masoud 1 Higham, Nicholas J. 1 Hoshi, Takeo 1 Iannazzo, Bruno 1 Iwasaki, Masashi 1 Jiang, Hao 1 Kruse, Carola 1 Li, Chuanying 1 Li, Kenli 1 Li, Yaotang 1 Ma, Yuxin 1 Mary, Theo A. 1 Meini, Beatrice 1 Miyajima, Shinya 1 Nakamura, Yoshimasa 1 Nakatsukasa, Yuji 1 Palitta, Davide 1 Quan, Zhe 1 Quintana-Ortí, Gregorio 1 Rontsis, Nikitas 1 Rüde, Ulrich 1 Saad, Yousef 1 Schröder, Christian 1 Shao, Meiyue 1 Shen, Dong 1 Shiroma, Kurumi 1 Tan, Xueyuan 1 Uchino, Yuki 1 Ueda, Asahi 1 van de Geijn, Robert Alexander 1 Van Zee, Field Garritt 1 Wang, Yihong 1 Wei, Shuiyan 1 Xiang, Meiling 1 Xiao, Xiong 1 Zhang, Zeyi all top 5 Cited in 19 Serials 8 Journal of Computational and Applied Mathematics 7 Japan Journal of Industrial and Applied Mathematics 4 Numerical Algorithms 3 BIT 2 Applied Mathematics and Computation 2 Mathematica Numerica Sinica 2 Linear Algebra and its Applications 1 Journal of the Franklin Institute 1 ACM Transactions on Mathematical Software 1 Journal of Optimization Theory and Applications 1 SIAM Journal on Matrix Analysis and Applications 1 International Journal of Computer Mathematics 1 Computational and Applied Mathematics 1 Journal of the Egyptian Mathematical Society 1 Advances in Computational Mathematics 1 Acta Numerica 1 JSIAM Letters 1 East Asian Journal on Applied Mathematics 1 Journal of Mathematical Modeling all top 5 Cited in 13 Fields 37 Numerical analysis (65-XX) 22 Linear and multilinear algebra; matrix theory (15-XX) 2 Partial differential equations (35-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year