Zhao, Ren-Jie; Sogabe, Tomohiro; Kemmochi, Tomoya; Zhang, Shao-Liang Shifted LOPBiCG: a locally orthogonal product-type method for solving nonsymmetric shifted linear systems based on Bi-CGSTAB. (English) Zbl 07830561 Numer. Linear Algebra Appl. 31, No. 2, e2538, 19 p. (2024). MSC: 65F10 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Teng; Feng, Mei; Wang, Xiang; Chen, Hongjia New backward error bounds of Rayleigh-Ritz projection methods for quadratic eigenvalue problem. (English) Zbl 1533.65059 Linear Multilinear Algebra 72, No. 4, 678-686 (2024). Reviewer: Steven B. Damelin (Ann Arbor) MSC: 65F15 × Cite Format Result Cite Review PDF Full Text: DOI
Iwashita, Takeshi; Ikehara, Kota; Fukaya, Takeshi; Mifune, Takeshi Convergence acceleration of preconditioned conjugate gradient solver based on error vector sampling for a sequence of linear systems. (English) Zbl 07790629 Numer. Linear Algebra Appl. 30, No. 6, e2512, 26 p. (2023). MSC: 65F10 65F08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Ulidowski, Irek Saving memory space in deep neural networks by recomputing: a survey. (English) Zbl 07786597 Kutrib, Martin (ed.) et al., Reversible computation. 15th international conference, RC 2023, Giessen, Germany, July 18–19, 2023. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13960, 89-105 (2023). MSC: 68T07 × Cite Format Result Cite Review PDF Full Text: DOI
Jia, Zhongxiao; Zhang, Kailiang A FEAST SVDsolver based on Chebyshev-Jackson series for computing partial singular triplets of large matrices. (English) Zbl 1526.65013 J. Sci. Comput. 97, No. 1, Paper No. 21, 36 p. (2023). MSC: 65F15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rump, Siegfried M.; Lange, Marko Fast computation of error bounds for all eigenpairs of a Hermitian and all singular pairs of a rectangular matrix with emphasis on eigen- and singular value clusters. (English) Zbl 1517.65025 J. Comput. Appl. Math. 434, Article ID 115332, 22 p. (2023). MSC: 65F15 65G20 × Cite Format Result Cite Review PDF Full Text: DOI
Imakura, Akira; Sakurai, Tetsuya Complex moment-based eigensolver coupled with two Krylov subspaces. (English) Zbl 1518.65033 J. Comput. Appl. Math. 432, Article ID 115283, 15 p. (2023). MSC: 65F15 65F50 68W10 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Imakura, Akira; Morikuni, Keiichi; Takayasu, Akitoshi Verified eigenvalue and eigenvector computations using complex moments and the Rayleigh-Ritz procedure for generalized Hermitian eigenvalue problems. (English) Zbl 1512.65061 J. Comput. Appl. Math. 424, Article ID 114994, 18 p. (2023). MSC: 65F15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Shao, Meiyue Householder orthogonalization with a nonstandard inner product. (English) Zbl 1515.65090 SIAM J. Matrix Anal. Appl. 44, No. 2, 481-502 (2023). MSC: 65F25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Brennan, Michael C.; Embree, Mark; Gugercin, Serkan Contour integral methods for nonlinear eigenvalue problems: a systems theoretic approach. (English) Zbl 07683990 SIAM Rev. 65, No. 2, 439-470 (2023). MSC: 47J10 65H17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zou, Qinmeng GMRES algorithms over 35 years. (English) Zbl 1511.65002 Appl. Math. Comput. 445, Article ID 127869, 23 p. (2023). MSC: 65-03 65F10 65Y05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Horiuchi, Itsuki; Aihara, Kensuke; Suzuki, Toshio; Ishiwata, Emiko Global GPBiCGstab\((L)\) method for solving linear matrix equations. (English) Zbl 07676519 Numer. Algorithms 93, No. 1, 295-319 (2023). MSC: 65F10 65F45 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Mele, Giampaolo The infinite Lanczos method for symmetric nonlinear eigenvalue problems. (English) Zbl 07668048 Calcolo 60, No. 2, Paper No. 19, 24 p. (2023). MSC: 47J10 35P30 65H17 65F60 15A18 65F15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Ovall, Jeffrey S.; Reid, Robyn An algorithm for identifying eigenvectors exhibiting strong spatial localization. (English) Zbl 1509.65111 Math. Comput. 92, No. 341, 1005-1031 (2023). MSC: 65N25 35P15 47A75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Imakura, Akira; Morikuni, Keiichi; Takayasu, Akitoshi Complex moment-based methods for differential eigenvalue problems. (English) Zbl 1506.65117 Numer. Algorithms 92, No. 1, 693-721 (2023). MSC: 65L15 65J99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Higham, Nicholas J.; Mary, Theo Mixed precision algorithms in numerical linear algebra. (English) Zbl 1512.65081 Acta Numerica 31, 347-414 (2022). MSC: 65G50 65Y04 65F05 65F10 × Cite Format Result Cite Review PDF Full Text: DOI
Huber, Sarah; Futamura, Yasunori; Galgon, Martin; Imakura, Akira; Lang, Bruno; Sakurai, Tetsuya Flexible subspace iteration with moments for an effective contour integration-based eigensolver. (English) Zbl 07655841 Numer. Linear Algebra Appl. 29, No. 6, e2447, 15 p. (2022). MSC: 65F15 65F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Najafi-Kalyani, Mehdi; Beik, Fatemeh Panjeh Ali An optimality property of an approximated solution computed by the Hessenberg method. (English) Zbl 1514.65038 Math. Commun. 27, No. 2, 225-239 (2022). MSC: 65F10 × Cite Format Result Cite Review PDF Full Text: Link
Beik, Fatemeh Panjeh Ali; Najafi-Kalyani, Mehdi; Jbilou, Khalide Preconditioned iterative methods for multi-linear systems based on the majorization matrix. (English) Zbl 1511.65039 Linear Multilinear Algebra 70, No. 20, 5827-5846 (2022). MSC: 65F99 65F08 15A69 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Li; Zhang, Lei-Hong; Li, Ren-Cang Maximizing sum of coupled traces with applications. (English) Zbl 1505.65221 Numer. Math. 152, No. 3, 587-629 (2022). MSC: 65K05 65H17 90C26 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Mei; Li, Ren-Cang Heavy ball flexible GMRES method for nonsymmetric linear systems. (English) Zbl 1513.65089 J. Comput. Math. 40, No. 5, 715-731 (2022). MSC: 65F10 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Hongjia; Zhang, Ke; Sakurai, Tetsuya The tropical scaling for the polynomial eigenvalue problem solved by a contour integral method. (English) Zbl 1538.65080 Numer. Linear Algebra Appl. 29, No. 2, e2413, 17 p. (2022). MSC: 65F15 15A18 × Cite Format Result Cite Review PDF Full Text: DOI
Drmač, Zlatko; Glibić, Ivana Šain An algorithm for the complete solution of the quartic eigenvalue problem. (English) Zbl 07500129 ACM Trans. Math. Softw. 48, No. 1, Article No. 4, 34 p. (2022). MSC: 65-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gu, Xian-Ming; Lei, Siu-Long; Zhang, Ke; Shen, Zhao-Li; Wen, Chun; Carpentieri, Bruno A Hessenberg-type algorithm for computing PageRank problems. (English) Zbl 1485.65037 Numer. Algorithms 89, No. 4, 1845-1863 (2022). MSC: 65F15 65F10 65Y20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bevilacqua, R.; Del Corso, G. M.; Gemignani, L. Orthogonal iterations on companion-like pencils. (English) Zbl 1487.65040 J. Sci. Comput. 91, No. 1, Paper No. 6, 22 p. (2022). MSC: 65F15 15A18 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Hoshi, Takeo; Kawamura, Mitsuaki; Yoshimi, Kazuyoshi; Motoyama, Yuichi; Misawa, Takahiro; Yamaji, Youhei; Todo, Synge; Kawashima, Naoki; Sogabe, Tomohiro Kω – open-source library for the shifted Krylov subspace method of the form \((z I - H)x = b\). (English) Zbl 1518.65002 Comput. Phys. Commun. 258, Article ID 107536, 10 p. (2021). MSC: 65-04 65F10 65Y15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Ramezani, Zohreh; Toutounian, Faezeh Augmented and deflated CMRH method for solving nonsymmetric linear systems. (English) Zbl 1499.65120 J. Math. Model. 9, No. 2, 239-256 (2021). MSC: 65F10 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Hongjia; Du, Lei; Cao, Zongqi Backward error analysis of linearizing-balancing strategies for heavily damped quadratic eigenvalue problem. (English) Zbl 1524.65163 Appl. Math. Lett. 120, Article ID 107342, 6 p. (2021). MSC: 65F15 15A18 × Cite Format Result Cite Review PDF Full Text: DOI
Yuan, Yuan; Sun, Shuli; Chen, Pu; Yuan, Mingwu Adaptive relaxation strategy on basic iterative methods for solving linear systems with single and multiple right-hand sides. (English) Zbl 1488.65078 Adv. Appl. Math. Mech. 13, No. 2, 378-403 (2021). MSC: 65F10 × Cite Format Result Cite Review PDF Full Text: DOI
Morikuni, Keiichi Projection method for eigenvalue problems of linear nonsquare matrix pencils. (English) Zbl 1476.65054 SIAM J. Matrix Anal. Appl. 42, No. 3, 1381-1400 (2021). MSC: 65F15 65F50 15A18 15A22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kurz, Stefan; Schöps, Sebastian; Unger, Gerhard; Wolf, Felix Solving Maxwell’s eigenvalue problem via isogeometric boundary elements and a contour integral method. (English) Zbl 1473.35536 Math. Methods Appl. Sci. 44, No. 13, 10790-10803 (2021). MSC: 35Q61 35P30 65N38 65D07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kollnig, Konrad; Bientinesi, Paolo; Di Napoli, Edoardo A. Rational spectral filters with optimal convergence rate. (English) Zbl 07379632 SIAM J. Sci. Comput. 43, No. 4, A2660-A2684 (2021). MSC: 65F15 15A18 65F50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Miyajima, Shinya Fast verification for the Perron pair of an irreducible nonnegative matrix. (English) Zbl 07373353 Electron. J. Linear Algebra 37, 402-415 (2021). MSC: 65F15 15A18 65G20 × Cite Format Result Cite Review PDF Full Text: Link
Meng, Jing; Gu, Xian-Ming; Luo, Wei-Hua; Fang, Liang A flexible global GCRO-DR method for shifted linear systems and general coupled matrix equations. (English) Zbl 1477.65060 J. Math. 2021, Article ID 5589582, 17 p. (2021). MSC: 65F10 15A24 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Elbouyahyaoui, Lakhdar; Heyouni, Mohammed; Tajaddini, Azita; Saberi-Movahed, Farid On restarted and deflated block FOM and GMRES methods for sequences of shifted linear systems. (English) Zbl 1469.65074 Numer. Algorithms 87, No. 3, 1257-1299 (2021). MSC: 65F10 65F08 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Huang, Tsung-Ming; Liao, Weichien; Lin, Wen-Wei; Wang, Weichung An efficient contour integral based eigensolver for 3D dispersive photonic crystal. (English) Zbl 1466.78006 J. Comput. Appl. Math. 395, Article ID 113581, 14 p. (2021). MSC: 78A25 35Q61 78M20 65F15 65F50 15A18 65C20 × Cite Format Result Cite Review PDF Full Text: DOI
Miao, Cun-Qiang On Chebyshev-Davidson method for symmetric generalized eigenvalue problems. (English) Zbl 1458.65040 J. Sci. Comput. 85, No. 3, Paper No. 53, 21 p. (2020). MSC: 65F15 × Cite Format Result Cite Review PDF Full Text: DOI
Nedamani, F. Abbasi; Sheikhani, A. H. Refahi; Najafi, H. Saberi A new algorithm for solving large-scale generalized eigenvalue problem based on projection methods. (English) Zbl 1459.65050 Math. Probl. Eng. 2020, Article ID 8895856, 10 p. (2020). MSC: 65F15 65F08 × Cite Format Result Cite Review PDF Full Text: DOI
Cabral, Juan C.; Schaerer, Christian E.; Bhaya, Amit Improving GMRES(\(m\)) using an adaptive switching controller. (English) Zbl 1474.65072 Numer. Linear Algebra Appl. 27, No. 5, e2305, 25 p. (2020). Reviewer: Miroslav Rozloznik MSC: 65F10 15A06 15A18 × Cite Format Result Cite Review PDF Full Text: DOI
Abdaoui, Ilias; Elbouyahyaoui, Lakhdar; Heyouni, Mohammed The simpler block CMRH method for linear systems. (English) Zbl 1470.65048 Numer. Algorithms 84, No. 4, 1265-1293 (2020). MSC: 65F10 × Cite Format Result Cite Review PDF Full Text: DOI
Aihara, Kensuke GPBi-CGstab(\(L\)): a Lanczos-type product method unifying Bi-CGstab(\(L\)) and GPBi-CG. (English) Zbl 1538.65061 Numer. Linear Algebra Appl. 27, No. 3, e2298, 22 p. (2020). MSC: 65F10 65F50 15A06 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Chen, Hongjia; Du, Lei Backward error bounds for polynomial eigenvalue problem solved by a Rayleigh-Ritz type contour integral-based eigensolver. (English) Zbl 1524.65162 Appl. Math. Lett. 102, Article ID 106122, 6 p. (2020). MSC: 65F15 15A18 × Cite Format Result Cite Review PDF Full Text: DOI
Heyouni, Mohammed; Saberi-Movahed, Farid; Tajaddini, Azita A tensor format for the generalized Hessenberg method for solving Sylvester tensor equations. (English) Zbl 1437.65024 J. Comput. Appl. Math. 377, Article ID 112878, 22 p. (2020). MSC: 65F45 15A24 × Cite Format Result Cite Review PDF Full Text: DOI
Hoshi, Takeo; Ogita, Takeshi; Ozaki, Katsuhisa; Terao, Takeshi An a posteriori verification method for generalized real-symmetric eigenvalue problems in large-scale electronic state calculations. (English) Zbl 1439.65046 J. Comput. Appl. Math. 376, Article ID 112830, 13 p. (2020). Reviewer: Georg Hebermehl (Berlin) MSC: 65F15 65G20 65Z05 68Q60 68N30 35J10 74S25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gu, Xian-Ming; Huang, Ting-Zhu; Carpentieri, Bruno; Imakura, Akira; Zhang, Ke; Du, Lei Efficient variants of the CMRH method for solving a sequence of multi-shifted non-Hermitian linear systems simultaneously. (English) Zbl 1434.65027 J. Comput. Appl. Math. 375, Article ID 112788, 16 p. (2020). MSC: 65F10 65F08 65N22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fukaya, Takeshi; Kannan, Ramaseshan; Nakatsukasa, Yuji; Yamamoto, Yusaku; Yanagisawa, Yuka Shifted Cholesky QR for computing the QR factorization of ill-conditioned matrices. (English) Zbl 1434.65041 SIAM J. Sci. Comput. 42, No. 1, A477-A503 (2020). MSC: 65F22 15A23 65F15 15A18 65G50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Imakura, Akira; Morikuni, Keiichi; Takayasu, Akitoshi Verified partial eigenvalue computations using contour integrals for Hermitian generalized eigenproblems. (English) Zbl 1431.65044 J. Comput. Appl. Math. 369, Article ID 112543, 11 p. (2020). MSC: 65F15 65G20 65G50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Gopalakrishnan, Jay; Grubišić, Luka; Ovall, Jeffrey Spectral discretization errors in filtered subspace iteration. (English) Zbl 1436.65067 Math. Comput. 89, No. 321, 203-228 (2020). MSC: 65J05 47N40 47A75 47A10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kimmel, Gregory J.; Glatz, Andreas Extensions and analysis of worst-case parameter in weighted Jacobi’s method for solving second order implicit PDEs. (English) Zbl 1453.65071 Results Appl. Math. 1, Article ID 100003, 9 p. (2019). MSC: 65F10 65F08 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Ohashi, A.; Sogabe, T. On computing the minimum singular value of a tensor sum. (English) Zbl 1433.65057 Spec. Matrices 7, 95-106 (2019). MSC: 65F15 15A69 65F20 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Yin, Guojian A contour-integral based method with Schur-Rayleigh-Ritz procedure for generalized eigenvalue problems. (English) Zbl 1444.65012 J. Sci. Comput. 81, No. 1, 252-270 (2019). Reviewer: Wei-Ru Xu (Chengdu) MSC: 65F15 65F22 15A18 58C40 × Cite Format Result Cite Review PDF Full Text: DOI
Imakura, Akira; Yamamoto, Yusaku Efficient implementations of the modified Gram-Schmidt orthogonalization with a non-standard inner product. (English) Zbl 1436.65046 Japan J. Ind. Appl. Math. 36, No. 2, 619-641 (2019). MSC: 65F25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ramezani, Z.; Toutounian, F. Extended and rational Hessenberg methods for the evaluation of matrix functions. (English) Zbl 07074125 BIT 59, No. 2, 523-545 (2019). MSC: 65F10 × Cite Format Result Cite Review PDF Full Text: DOI
Yin, Guojian On the non-Hermitian FEAST algorithms with oblique projection for eigenvalue problems. (English) Zbl 1415.65094 J. Comput. Appl. Math. 355, 23-35 (2019). MSC: 65F15 15A18 × Cite Format Result Cite Review PDF Full Text: DOI
Sato, Hiroyuki; Aihara, Kensuke Cholesky QR-based retraction on the generalized Stiefel manifold. (English) Zbl 1414.90331 Comput. Optim. Appl. 72, No. 2, 293-308 (2019). MSC: 90C30 65K05 65F30 × Cite Format Result Cite Review PDF Full Text: DOI
Amini, S.; Toutounian, F. Weighted and flexible versions of block CMRH method for solving nonsymmetric linear systems with multiple right-hand sides. (English) Zbl 1442.65036 Comput. Math. Appl. 76, No. 8, 2011-2021 (2018). MSC: 65F10 15A06 × Cite Format Result Cite Review PDF Full Text: DOI
Yano, Takahiro; Futamura, Yasunori; Imakura, Akira; Sakurai, Tetsuya Performance evaluation of the Sakurai-Sugiura method with a block Krylov subspace linear solver for large dense Hermitian-definite generalized eigenvalue problems. (English) Zbl 07037372 JSIAM Lett. 10, 77-80 (2018). MSC: 65-XX 68-XX × Cite Format Result Cite Review PDF Full Text: DOI
Elbouyahyaoui, Lakhdar; Heyouni, Mohammed On applying weighted weed techniques to GMRES algorithm for solving multiple linear systems. (English) Zbl 1424.65029 Bol. Soc. Parana. Mat. (3) 36, No. 3, 155-172 (2018). MSC: 65F10 65F50 × Cite Format Result Cite Review PDF Full Text: Link
Imakura, Akira; Sogabe, Tomohiro; Zhang, Shao-Liang A look-back-type restart for the restarted Krylov subspace methods for solving non-Hermitian linear systems. (English) Zbl 1405.65046 Japan J. Ind. Appl. Math. 35, No. 2, 835-859 (2018). MSC: 65F10 65F50 65F35 × Cite Format Result Cite Review PDF Full Text: DOI
Gavin, Brendan; Polizzi, Eric Krylov eigenvalue strategy using the FEAST algorithm with inexact system solves. (English) Zbl 1513.65096 Numer. Linear Algebra Appl. 25, No. 5, e2188, 20 p. (2018). MSC: 65F15 65F50 65Y05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Lei-Hong; Shen, Chungen A nested Lanczos method for the trust-region subproblem. (English) Zbl 1402.90113 SIAM J. Sci. Comput. 40, No. 4, A2005-A2032 (2018). MSC: 90C20 90C06 65F10 65F15 65K05 × Cite Format Result Cite Review PDF Full Text: DOI
Teng, Zhongming; Wang, Xuansheng Heavy ball restarted CMRH methods for linear systems. (English) Zbl 1392.65072 Math. Comput. Appl. 23, No. 1, Paper No. 10, 8 p. (2018). MSC: 65F10 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Yin, Guojian; Chan, Raymond H.; Yeung, Man-Chung A FEAST algorithm with oblique projection for generalized eigenvalue problems. (English) Zbl 1463.65078 Numer. Linear Algebra Appl. 24, No. 4, e2092, 15 p. (2017). MSC: 65F15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xiao, Jinyou; Zhang, Chuanzeng; Huang, Tsung-Ming; Sakurai, Tetsuya Solving large-scale nonlinear eigenvalue problems by rational interpolation and resolvent sampling based Rayleigh-Ritz method. (English) Zbl 1367.65162 Int. J. Numer. Methods Eng. 110, No. 8, 776-800 (2017). MSC: 65F15 65H17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Imakura, Akira; Sakurai, Tetsuya Block Krylov-type complex moment-based eigensolvers for solving generalized eigenvalue problems. (English) Zbl 1368.65058 Numer. Algorithms 75, No. 2, 413-433 (2017). MSC: 65F15 × Cite Format Result Cite Review PDF Full Text: DOI
Jing, Yan-Fei; Yuan, Pei; Huang, Ting-Zhu A simpler GMRES and its adaptive variant for shifted linear systems. (English) Zbl 1413.65063 Numer. Linear Algebra Appl. 24, No. 1, e2076, 7 p. (2017). Reviewer: Miroslav Rozloznik MSC: 65F10 65G50 65F35 × Cite Format Result Cite Review PDF Full Text: DOI
Aishima, Kensuke On convergence of iterative projection methods for symmetric eigenvalue problems. (English) Zbl 1382.65096 J. Comput. Appl. Math. 311, 513-521 (2017). MSC: 65F15 65F08 × Cite Format Result Cite Review PDF Full Text: DOI
Hasegawa, Tetsuya; Imakura, Akira; Sakurai, Tetsuya Recovering from accuracy deterioration in the contour integral-based eigensolver. (English) Zbl 1530.65042 JSIAM Lett. 8, 1-4 (2016). Reviewer: Drahoslava Janovská (Praha) MSC: 65F15 30E20 × Cite Format Result Cite Review PDF Full Text: DOI
Imakura, Akira; Du, Lei; Sakurai, Tetsuya Relationships among contour integral-based methods for solving generalized eigenvalue problems. (English) Zbl 1375.65058 Japan J. Ind. Appl. Math. 33, No. 3, 721-750 (2016). Reviewer: Frank Uhlig (Auburn) MSC: 65F15 65F50 65E05 30E20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Imakura, Akira; Li, Ren-Cang; Zhang, Shao-Liang Locally optimal and heavy ball GMRES methods. (English) Zbl 1354.65063 Japan J. Ind. Appl. Math. 33, No. 2, 471-499 (2016). MSC: 65F10 × Cite Format Result Cite Review PDF Full Text: DOI
Bai, ZhaoJun; Li, RenCang; Lin, WenWei Linear response eigenvalue problem solved by extended locally optimal preconditioned conjugate gradient methods. (English) Zbl 1358.65021 Sci. China, Math. 59, No. 8, 1443-1460 (2016). Reviewer: Murli Gupta (Washington, D. C.) MSC: 65F15 65F05 × Cite Format Result Cite Review PDF Full Text: DOI
Xi, Yuanzhe; Saad, Yousef Computing partial spectra with least-squares rational filters. (English) Zbl 1351.65026 SIAM J. Sci. Comput. 38, No. 5, A3020-A3045 (2016). MSC: 65F15 65F10 65F20 × Cite Format Result Cite Review PDF Full Text: DOI
Imakura, Akira; Du, Lei; Sakurai, Tetsuya Error bounds of Rayleigh-Ritz type contour integral-based eigensolver for solving generalized eigenvalue problems. (English) Zbl 1333.65039 Numer. Algorithms 71, No. 1, 103-120 (2016). Reviewer: Constantin Popa (Constanţa) MSC: 65F15 15A18 65F50 × Cite Format Result Cite Review PDF Full Text: DOI
Su, Lijiong; Imakura, Akira; Tadano, Hiroto; Sakurai, Tetsuya Improving the convergence behaviour of BiCGSTAB by applying \(D\)-norm minimization. (English) Zbl 07037342 JSIAM Lett. 7, 37-40 (2015). MSC: 65-XX 90-XX × Cite Format Result Cite Review PDF Full Text: DOI