Error bounds of Rayleigh-Ritz type contour integral-based eigensolver for solving generalized eigenvalue problems. Zbl 1333.65039
Imakura, Akira; Du, Lei; Sakurai, Tetsuya |
|
2016
|
A block Arnoldi-type contour integral spectral projection method for solving generalized eigenvalue problems. Zbl 1311.65037
Imakura, Akira; Du, Lei; Sakurai, Tetsuya |
|
2014
|
Efficient variants of the CMRH method for solving a sequence of multi-shifted non-Hermitian linear systems simultaneously. Zbl 1434.65027
Gu, Xian-Ming; Huang, Ting-Zhu; Carpentieri, Bruno; Imakura, Akira; Zhang, Ke; Du, Lei |
|
2020
|
Relationships among contour integral-based methods for solving generalized eigenvalue problems. Zbl 1375.65058
Imakura, Akira; Du, Lei; Sakurai, Tetsuya |
|
2016
|
Locally optimal and heavy ball GMRES methods. Zbl 1354.65063
Imakura, Akira; Li, Ren-Cang; Zhang, Shao-Liang |
|
2016
|
A weighted block GMRES method for solving linear systems with multiple right-hand sides. Zbl 1416.65085
Imakura, Akira; Du, Lei; Tadano, Hiroto |
|
2013
|
Improving the numerical stability of the Sakurai-Sugiura method for quadratic eigenvalue problems. Zbl 1530.65040
Chen, Hongjia; Maeda, Yasuyuki; Imakura, Akira; Sakurai, Tetsuya; Tisseur, Francoise |
|
2017
|
Efficient implementations of the modified Gram-Schmidt orthogonalization with a non-standard inner product. Zbl 1436.65046
Imakura, Akira; Yamamoto, Yusaku |
|
2019
|
Improving backward stability of Sakurai-Sugiura method with balancing technique in polynomial eigenvalue problem. Zbl 1488.65079
Chen, Hongjia; Imakura, Akira; Sakurai, Tetsuya |
|
2017
|
Verified partial eigenvalue computations using contour integrals for Hermitian generalized eigenproblems. Zbl 1431.65044
Imakura, Akira; Morikuni, Keiichi; Takayasu, Akitoshi |
|
2020
|
An efficient variant of the restarted shifted GMRES method for solving shifted linear systems. Zbl 1289.65057
Imakura, Akira; Sogabe, Tomohiro; Zhang, Shaoliang |
|
2013
|
Block Krylov-type complex moment-based eigensolvers for solving generalized eigenvalue problems. Zbl 1368.65058
Imakura, Akira; Sakurai, Tetsuya |
|
2017
|
Development of the block BiCGSTAB(\(\ell\)) method for solving linear systems with multiple right hand sides. Zbl 07037326
Saito, Shusaku; Tadano, Hiroto; Imakura, Akira |
|
2014
|
A parameter optimization technique for a weighted Jacobi-type preconditioner. Zbl 1271.65051
Imakura, Akira; Sakurai, Tetsuya; Sumiyoshi, Kohsuke; Matsufuru, Hideo |
|
2012
|
Benefits from using mixed precision computations in the ELPA-AEO and ESSEX-II eigensolver projects. Zbl 1418.65044
Alvermann, Andreas; Basermann, Achim; Bungartz, Hans-Joachim; Carbogno, Christian; Ernst, Dominik; Fehske, Holger; Futamura, Yasunori; Galgon, Martin; Hager, Georg; Huber, Sarah; Huckle, Thomas; Ida, Akihiro; Imakura, Akira; Kawai, Masatoshi; Köcher, Simone; Kreutzer, Moritz; Kus, Pavel; Lang, Bruno; Lederer, Hermann; Manin, Valeriy; Marek, Andreas; Nakajima, Kengo; Nemec, Lydia; Reuter, Karsten; Rippl, Michael; Röhrig-Zöllner, Melven; Sakurai, Tetsuya; Scheffler, Matthias; Scheurer, Christoph; Shahzad, Faisal; Simoes Brambila, Danilo; Thies, Jonas; Wellein, Gerhard |
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2019
|
Filter analysis for the stochastic estimation of eigenvalue counts. Zbl 07037346
Maeda, Yasuyuki; Futamura, Yasunori; Imakura, Akira; Sakurai, Tetsuya |
|
2015
|
Performance evaluation of the Sakurai-Sugiura method with a block Krylov subspace linear solver for large dense Hermitian-definite generalized eigenvalue problems. Zbl 07037372
Yano, Takahiro; Futamura, Yasunori; Imakura, Akira; Sakurai, Tetsuya |
|
2018
|
An efficient variant of the GMRES(\(m\)) method based on the error equations. Zbl 1287.65022
Imakura, Akira; Sogabe, Tomohiro; Zhang, Shao-Liang |
|
2012
|
Recovering from accuracy deterioration in the contour integral-based eigensolver. Zbl 1530.65042
Hasegawa, Tetsuya; Imakura, Akira; Sakurai, Tetsuya |
|
2016
|
An implicit wavelet sparse approximate inverse preconditioner using block finger pattern. Zbl 1224.65074
Imakura, A.; Sogabe, T.; Zhang, S.-L. |
|
2009
|
Flexible subspace iteration with moments for an effective contour integration-based eigensolver. Zbl 07655841
Huber, Sarah; Futamura, Yasunori; Galgon, Martin; Imakura, Akira; Lang, Bruno; Sakurai, Tetsuya |
|
2022
|
Minimal residual-like condition with collinearity for shifted Krylov subspace methods. Zbl 1418.65040
Imakura, Akira |
|
2019
|
Cross-interactive residual smoothing for global and block Lanczos-type solvers for linear systems with multiple right-hand sides. Zbl 1508.65024
Aihara, Kensuke; Imakura, Akira; Morikuni, Keiichi |
|
2022
|
Verified eigenvalue and eigenvector computations using complex moments and the Rayleigh-Ritz procedure for generalized Hermitian eigenvalue problems. Zbl 1512.65061
Imakura, Akira; Morikuni, Keiichi; Takayasu, Akitoshi |
|
2023
|
Verified eigenvalue and eigenvector computations using complex moments and the Rayleigh-Ritz procedure for generalized Hermitian eigenvalue problems. Zbl 1512.65061
Imakura, Akira; Morikuni, Keiichi; Takayasu, Akitoshi |
|
2023
|
Flexible subspace iteration with moments for an effective contour integration-based eigensolver. Zbl 07655841
Huber, Sarah; Futamura, Yasunori; Galgon, Martin; Imakura, Akira; Lang, Bruno; Sakurai, Tetsuya |
|
2022
|
Cross-interactive residual smoothing for global and block Lanczos-type solvers for linear systems with multiple right-hand sides. Zbl 1508.65024
Aihara, Kensuke; Imakura, Akira; Morikuni, Keiichi |
|
2022
|
Efficient variants of the CMRH method for solving a sequence of multi-shifted non-Hermitian linear systems simultaneously. Zbl 1434.65027
Gu, Xian-Ming; Huang, Ting-Zhu; Carpentieri, Bruno; Imakura, Akira; Zhang, Ke; Du, Lei |
|
2020
|
Verified partial eigenvalue computations using contour integrals for Hermitian generalized eigenproblems. Zbl 1431.65044
Imakura, Akira; Morikuni, Keiichi; Takayasu, Akitoshi |
|
2020
|
Efficient implementations of the modified Gram-Schmidt orthogonalization with a non-standard inner product. Zbl 1436.65046
Imakura, Akira; Yamamoto, Yusaku |
|
2019
|
Benefits from using mixed precision computations in the ELPA-AEO and ESSEX-II eigensolver projects. Zbl 1418.65044
Alvermann, Andreas; Basermann, Achim; Bungartz, Hans-Joachim; Carbogno, Christian; Ernst, Dominik; Fehske, Holger; Futamura, Yasunori; Galgon, Martin; Hager, Georg; Huber, Sarah; Huckle, Thomas; Ida, Akihiro; Imakura, Akira; Kawai, Masatoshi; Köcher, Simone; Kreutzer, Moritz; Kus, Pavel; Lang, Bruno; Lederer, Hermann; Manin, Valeriy; Marek, Andreas; Nakajima, Kengo; Nemec, Lydia; Reuter, Karsten; Rippl, Michael; Röhrig-Zöllner, Melven; Sakurai, Tetsuya; Scheffler, Matthias; Scheurer, Christoph; Shahzad, Faisal; Simoes Brambila, Danilo; Thies, Jonas; Wellein, Gerhard |
|
2019
|
Minimal residual-like condition with collinearity for shifted Krylov subspace methods. Zbl 1418.65040
Imakura, Akira |
|
2019
|
Performance evaluation of the Sakurai-Sugiura method with a block Krylov subspace linear solver for large dense Hermitian-definite generalized eigenvalue problems. Zbl 07037372
Yano, Takahiro; Futamura, Yasunori; Imakura, Akira; Sakurai, Tetsuya |
|
2018
|
Improving the numerical stability of the Sakurai-Sugiura method for quadratic eigenvalue problems. Zbl 1530.65040
Chen, Hongjia; Maeda, Yasuyuki; Imakura, Akira; Sakurai, Tetsuya; Tisseur, Francoise |
|
2017
|
Improving backward stability of Sakurai-Sugiura method with balancing technique in polynomial eigenvalue problem. Zbl 1488.65079
Chen, Hongjia; Imakura, Akira; Sakurai, Tetsuya |
|
2017
|
Block Krylov-type complex moment-based eigensolvers for solving generalized eigenvalue problems. Zbl 1368.65058
Imakura, Akira; Sakurai, Tetsuya |
|
2017
|
Error bounds of Rayleigh-Ritz type contour integral-based eigensolver for solving generalized eigenvalue problems. Zbl 1333.65039
Imakura, Akira; Du, Lei; Sakurai, Tetsuya |
|
2016
|
Relationships among contour integral-based methods for solving generalized eigenvalue problems. Zbl 1375.65058
Imakura, Akira; Du, Lei; Sakurai, Tetsuya |
|
2016
|
Locally optimal and heavy ball GMRES methods. Zbl 1354.65063
Imakura, Akira; Li, Ren-Cang; Zhang, Shao-Liang |
|
2016
|
Recovering from accuracy deterioration in the contour integral-based eigensolver. Zbl 1530.65042
Hasegawa, Tetsuya; Imakura, Akira; Sakurai, Tetsuya |
|
2016
|
Filter analysis for the stochastic estimation of eigenvalue counts. Zbl 07037346
Maeda, Yasuyuki; Futamura, Yasunori; Imakura, Akira; Sakurai, Tetsuya |
|
2015
|
A block Arnoldi-type contour integral spectral projection method for solving generalized eigenvalue problems. Zbl 1311.65037
Imakura, Akira; Du, Lei; Sakurai, Tetsuya |
|
2014
|
Development of the block BiCGSTAB(\(\ell\)) method for solving linear systems with multiple right hand sides. Zbl 07037326
Saito, Shusaku; Tadano, Hiroto; Imakura, Akira |
|
2014
|
A weighted block GMRES method for solving linear systems with multiple right-hand sides. Zbl 1416.65085
Imakura, Akira; Du, Lei; Tadano, Hiroto |
|
2013
|
An efficient variant of the restarted shifted GMRES method for solving shifted linear systems. Zbl 1289.65057
Imakura, Akira; Sogabe, Tomohiro; Zhang, Shaoliang |
|
2013
|
A parameter optimization technique for a weighted Jacobi-type preconditioner. Zbl 1271.65051
Imakura, Akira; Sakurai, Tetsuya; Sumiyoshi, Kohsuke; Matsufuru, Hideo |
|
2012
|
An efficient variant of the GMRES(\(m\)) method based on the error equations. Zbl 1287.65022
Imakura, Akira; Sogabe, Tomohiro; Zhang, Shao-Liang |
|
2012
|
An implicit wavelet sparse approximate inverse preconditioner using block finger pattern. Zbl 1224.65074
Imakura, A.; Sogabe, T.; Zhang, S.-L. |
|
2009
|