Carson, Erin; Gergelits, Tomáš; Yamazaki, Ichitaro Mixed precision \(s\)-step Lanczos and conjugate gradient algorithms. (English) Zbl 07511606 Numer. Linear Algebra Appl. 29, No. 3, e2425, 24 p. (2022). MSC: 65Fxx PDF BibTeX XML Cite \textit{E. Carson} et al., Numer. Linear Algebra Appl. 29, No. 3, e2425, 24 p. (2022; Zbl 07511606) Full Text: DOI OpenURL
Guo, Qiang; Zhang, Yongxia; Qiu, Shi; Zhang, Caiming Accelerating patch-based low-rank image restoration using kd-forest and Lanczos approximation. (English) Zbl 07510114 Inf. Sci. 556, 177-193 (2021). MSC: 68U10 65F55 PDF BibTeX XML Cite \textit{Q. Guo} et al., Inf. Sci. 556, 177--193 (2021; Zbl 07510114) Full Text: DOI OpenURL
Baglama, James; Bella, Tom; Picucci, Jennifer Hybrid iterative refined method for computing a few extreme eigenpairs of a symmetric matrix. (English) Zbl 07418105 SIAM J. Sci. Comput. 43, No. 5, S200-S224 (2021). MSC: 65F15 65F50 15A18 PDF BibTeX XML Cite \textit{J. Baglama} et al., SIAM J. Sci. Comput. 43, No. 5, S200--S224 (2021; Zbl 07418105) Full Text: DOI OpenURL
Mohri, Shintaro; Masuda, Teruo; Ishi, Hiroaki Two machine flexible shop scheduling problem. (English) Zbl 07414150 Sci. Math. Jpn. 84, No. 1, 1-7 (2021). MSC: 65F10 65F15 65H10 PDF BibTeX XML Cite \textit{S. Mohri} et al., Sci. Math. Jpn. 84, No. 1, 1--7 (2021; Zbl 07414150) OpenURL
Urschel, John C. Uniform error estimates for the Lanczos method. (English) Zbl 07414035 SIAM J. Matrix Anal. Appl. 42, No. 3, 1423-1450 (2021). MSC: 65F15 65F50 PDF BibTeX XML Cite \textit{J. C. Urschel}, SIAM J. Matrix Anal. Appl. 42, No. 3, 1423--1450 (2021; Zbl 07414035) Full Text: DOI arXiv OpenURL
Montoison, Alexis; Orban, Dominique TriCG and TriMR: two iterative methods for symmetric quasi-definite systems. (English) Zbl 07378167 SIAM J. Sci. Comput. 43, No. 4, A2502-A2525 (2021). MSC: 65F10 65F08 65F22 65F25 65F35 65F50 90C06 90C90 PDF BibTeX XML Cite \textit{A. Montoison} and \textit{D. Orban}, SIAM J. Sci. Comput. 43, No. 4, A2502--A2525 (2021; Zbl 07378167) Full Text: DOI arXiv OpenURL
Baglama, James; Bella, Tom; Picucci, Jennifer Hybrid iterative refined method for computing a few extreme eigenpairs of a symmetric matrix. (English) Zbl 07364305 SIAM J. Sci. Comput. 43, No. 3, S200-S224 (2021). MSC: 65F15 65F50 15A18 PDF BibTeX XML Cite \textit{J. Baglama} et al., SIAM J. Sci. Comput. 43, No. 3, S200--S224 (2021; Zbl 07364305) Full Text: DOI OpenURL
Manguoğlu, Murat; Mehrmann, Volker A two-level iterative scheme for general sparse linear systems based on approximate skew-symmetrizers. (English) Zbl 1464.65040 ETNA, Electron. Trans. Numer. Anal. 54, 370-391 (2021). MSC: 65F50 65F08 65F10 PDF BibTeX XML Cite \textit{M. Manguoğlu} and \textit{V. Mehrmann}, ETNA, Electron. Trans. Numer. Anal. 54, 370--391 (2021; Zbl 1464.65040) Full Text: DOI arXiv Link OpenURL
Jia, Zhongxiao; Wang, Fa The convergence of the generalized Lanczos trust-region method for the trust-region subproblem. (English) Zbl 1462.90083 SIAM J. Optim. 31, No. 1, 887-914 (2021). MSC: 90C20 90C30 65K05 65F10 PDF BibTeX XML Cite \textit{Z. Jia} and \textit{F. Wang}, SIAM J. Optim. 31, No. 1, 887--914 (2021; Zbl 1462.90083) Full Text: DOI arXiv OpenURL
Curtis, Frank E.; Robinson, Daniel P.; Royer, Clément W.; Wright, Stephen J. Trust-region Newton-CG with strong second-order complexity guarantees for nonconvex optimization. (English) Zbl 1461.90107 SIAM J. Optim. 31, No. 1, 518-544 (2021). MSC: 90C26 49M05 49M15 65K05 90C60 PDF BibTeX XML Cite \textit{F. E. Curtis} et al., SIAM J. Optim. 31, No. 1, 518--544 (2021; Zbl 1461.90107) Full Text: DOI arXiv OpenURL
Bakar, Maharani Abu; Juliansyah, Alifhar; Thalib, Rehana; Pratama, Danang Adi High performances of stabilized Lanczos-types for solving high dimension problems: a survey. (English) Zbl 1457.65019 Int. J. Math. Comput. Sci. 16, No. 2, 837-854 (2021). MSC: 65F10 65Y10 PDF BibTeX XML Cite \textit{M. A. Bakar} et al., Int. J. Math. Comput. Sci. 16, No. 2, 837--854 (2021; Zbl 1457.65019) Full Text: Link OpenURL
Dykes, L.; Ramlau, Ronny; Reichel, L.; Soodhalter, K. M.; Wagner, R. Lanczos-based fast blind deconvolution methods. (English) Zbl 07241397 J. Comput. Appl. Math. 382, Article ID 113067, 13 p. (2021). MSC: 65R32 94A08 PDF BibTeX XML Cite \textit{L. Dykes} et al., J. Comput. Appl. Math. 382, Article ID 113067, 13 p. (2021; Zbl 07241397) Full Text: DOI OpenURL
Jagels, Carl; Jbilou, Khalide; Reichel, Lothar The extended global Lanczos method, Gauss-Radau quadrature, and matrix function approximation. (English) Zbl 07241295 J. Comput. Appl. Math. 381, Article ID 113027, 16 p. (2021). MSC: 65F60 65F10 PDF BibTeX XML Cite \textit{C. Jagels} et al., J. Comput. Appl. Math. 381, Article ID 113027, 16 p. (2021; Zbl 07241295) Full Text: DOI OpenURL
Miao, Cun-Qiang; Tan, Xue-Yuan On global convergence of subspace projection methods for Hermitian eigenvalue problems. (English) Zbl 1480.65083 Int. J. Comput. Math. 97, No. 10, 1982-1993 (2020). MSC: 65F15 65N25 PDF BibTeX XML Cite \textit{C.-Q. Miao} and \textit{X.-Y. Tan}, Int. J. Comput. Math. 97, No. 10, 1982--1993 (2020; Zbl 1480.65083) Full Text: DOI OpenURL
Kamalvand, Mojtaba Ghasemi; Asil, Kobra Niazi The indefinite Lanczos J-biothogonalization algorithm for solving large non-J-symmetric linear systems. (English) Zbl 07435312 J. Korean Soc. Ind. Appl. Math. 24, No. 4, 375-385 (2020). MSC: 65Fxx PDF BibTeX XML Cite \textit{M. G. Kamalvand} and \textit{K. N. Asil}, J. Korean Soc. Ind. Appl. Math. 24, No. 4, 375--385 (2020; Zbl 07435312) Full Text: DOI OpenURL
Zhang, Lu; Sun, Hai-Wei Numerical solution for multi-dimensional Riesz fractional nonlinear reaction-diffusion equation by exponential Runge-Kutta method. (English) Zbl 1475.65054 J. Appl. Math. Comput. 62, No. 1-2, 449-472 (2020). MSC: 65L06 65N22 65F10 65F15 PDF BibTeX XML Cite \textit{L. Zhang} and \textit{H.-W. Sun}, J. Appl. Math. Comput. 62, No. 1--2, 449--472 (2020; Zbl 1475.65054) Full Text: DOI OpenURL
Il’in, V. P. On moment methods in Krylov subspaces. (English. Russian original) Zbl 07424670 Dokl. Math. 102, No. 3, 478-482 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 495, 38-43 (2020). MSC: 65F10 65F35 44A60 PDF BibTeX XML Cite \textit{V. P. Il'in}, Dokl. Math. 102, No. 3, 478--482 (2020; Zbl 07424670); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 495, 38--43 (2020) Full Text: DOI OpenURL
Wu, Yu Mao; Lou, Xin; Jin, Ya-Qiu; Hou, Zhaoguo; Xiao, Lizhi; Zou, Ning; Zhou, Hai Jing; Liu, Yang An efficient method for estimating the electromagnetic wave propagation in three dimensional optical waveguide structures. (English) Zbl 1473.78013 Commun. Comput. Phys. 28, No. 2, 661-678 (2020). MSC: 78M16 78A45 PDF BibTeX XML Cite \textit{Y. M. Wu} et al., Commun. Comput. Phys. 28, No. 2, 661--678 (2020; Zbl 1473.78013) Full Text: DOI OpenURL
Vishwakarma, Ram Gopal Relativistic potential of Weyl: a gateway to quantum physics in the presence of gravitation? (English) Zbl 1478.83066 Classical Quantum Gravity 37, No. 6, Article ID 065020, 17 p. (2020). MSC: 83C35 81Q70 53Z05 PDF BibTeX XML Cite \textit{R. G. Vishwakarma}, Classical Quantum Gravity 37, No. 6, Article ID 065020, 17 p. (2020; Zbl 1478.83066) Full Text: DOI arXiv OpenURL
Zhang, Lei-Hong; Li, Ren-Gang Krylov subspace methods for trust-region subproblem and beyond. (English) Zbl 1461.90089 Ji, Lizhen (ed.) et al., Proceedings of the international consortium of Chinese mathematicians, 2018. Second meeting, Taipei, Taiwan, December 2018. Somerville, MA: International Press. 721-740 (2020). MSC: 90C20 90C06 65F10 65F15 65F35 PDF BibTeX XML Cite \textit{L.-H. Zhang} and \textit{R.-G. Li}, in: Proceedings of the international consortium of Chinese mathematicians, 2018. Second meeting, Taipei, Taiwan, December 2018. Somerville, MA: International Press. 721--740 (2020; Zbl 1461.90089) OpenURL
Salin, M. B.; Sokov, E. M.; Suvorov, A. S. Method of mode analysis for mechanoacoustic systems. (English. Russian original) Zbl 1462.76164 Mech. Solids 55, No. 8, 1318-1327 (2020); translation from Prikl. Mat. Mekh. 84, No. 2, 196-207 (2020). MSC: 76Q05 76M99 PDF BibTeX XML Cite \textit{M. B. Salin} et al., Mech. Solids 55, No. 8, 1318--1327 (2020; Zbl 1462.76164); translation from Prikl. Mat. Mekh. 84, No. 2, 196--207 (2020) Full Text: DOI OpenURL
Montoison, Alexis; Orban, Dominique BiLQ: an iterative method for nonsymmetric linear systems with a quasi-minimum error property. (English) Zbl 1458.65032 SIAM J. Matrix Anal. Appl. 41, No. 3, 1145-1166 (2020). MSC: 65F10 65F25 65F50 PDF BibTeX XML Cite \textit{A. Montoison} and \textit{D. Orban}, SIAM J. Matrix Anal. Appl. 41, No. 3, 1145--1166 (2020; Zbl 1458.65032) Full Text: DOI arXiv OpenURL
Wang, Yunjie; Wu, Gang New strategies for determining backward perturbation bound of approximate two-sided Krylov subspaces. (English) Zbl 07286034 Numer. Linear Algebra Appl. 27, No. 6, e2324, 18 p. (2020). MSC: 65F15 65F10 PDF BibTeX XML Cite \textit{Y. Wang} and \textit{G. Wu}, Numer. Linear Algebra Appl. 27, No. 6, e2324, 18 p. (2020; Zbl 07286034) Full Text: DOI OpenURL
Giscard, Pierre-Louis; Pozza, Stefano Lanczos-like algorithm for the time-ordered exponential: the \(\ast\)-inverse problem. (English) Zbl 07285958 Appl. Math., Praha 65, No. 6, 807-827 (2020). MSC: 35A24 47B36 65F10 65D15 PDF BibTeX XML Cite \textit{P.-L. Giscard} and \textit{S. Pozza}, Appl. Math., Praha 65, No. 6, 807--827 (2020; Zbl 07285958) Full Text: DOI arXiv OpenURL
He, Qinglong; Wang, Yanfei Inexact Newton-type methods based on Lanczos orthonormal method and application for full waveform inversion. (English) Zbl 1451.65030 Inverse Probl. 36, No. 11, Article ID 115007, 27 p. (2020). MSC: 65F10 65F22 PDF BibTeX XML Cite \textit{Q. He} and \textit{Y. Wang}, Inverse Probl. 36, No. 11, Article ID 115007, 27 p. (2020; Zbl 1451.65030) Full Text: DOI OpenURL
Al-Baali, Mehiddin; Caliciotti, Andrea; Fasano, Giovanni; Roma, Massimo A class of approximate inverse preconditioners based on Krylov-subspace methods for large-scale nonconvex optimization. (English) Zbl 1480.90169 SIAM J. Optim. 30, No. 3, 1954-1979 (2020). Reviewer: Paulo Mbunga (Kiel) MSC: 90C06 90C26 90C30 PDF BibTeX XML Cite \textit{M. Al-Baali} et al., SIAM J. Optim. 30, No. 3, 1954--1979 (2020; Zbl 1480.90169) Full Text: DOI OpenURL
Henneke, Felix; Lin, Lin; Vorwerk, Christian; Draxl, Claudia; Klein, Rupert; Yang, Chao Fast optical absorption spectra calculations for periodic solid state systems. (English) Zbl 1465.35346 Commun. Appl. Math. Comput. Sci. 15, No. 1, 89-113 (2020). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35Q40 81Q40 81V70 82D80 82M36 65F15 65Y05 PDF BibTeX XML Cite \textit{F. Henneke} et al., Commun. Appl. Math. Comput. Sci. 15, No. 1, 89--113 (2020; Zbl 1465.35346) Full Text: DOI arXiv OpenURL
Aihara, Kensuke GPBi-CGstab(\(L\)): a Lanczos-type product method unifying Bi-CGstab(\(L\)) and GPBi-CG. (English) Zbl 07217206 Numer. Linear Algebra Appl. 27, No. 3, e2298, 22 p. (2020). MSC: 65F10 65F08 PDF BibTeX XML Cite \textit{K. Aihara}, Numer. Linear Algebra Appl. 27, No. 3, e2298, 22 p. (2020; Zbl 07217206) Full Text: DOI OpenURL
Zhang, Lu; Zhang, Qifeng; Sun, Hai-Wei Exponential Runge-Kutta method for two-dimensional nonlinear fractional complex Ginzburg-Landau equations. (English) Zbl 1442.65340 J. Sci. Comput. 83, No. 3, Paper No. 59, 24 p. (2020). MSC: 65N22 65L06 65F15 65F08 26A33 35R11 35Q56 PDF BibTeX XML Cite \textit{L. Zhang} et al., J. Sci. Comput. 83, No. 3, Paper No. 59, 24 p. (2020; Zbl 1442.65340) Full Text: DOI OpenURL
Elgharbi, S.; Esghir, M.; Ibrihich, O.; Abouzaid, B.; Essaouini, M.; El Hajji, S. Direct global Lanczos method for large linear systems with multiple right-hand sides. (English) Zbl 1449.65056 Afr. Mat. 31, No. 1, 57-69 (2020). MSC: 65F10 65F25 PDF BibTeX XML Cite \textit{S. Elgharbi} et al., Afr. Mat. 31, No. 1, 57--69 (2020; Zbl 1449.65056) Full Text: DOI OpenURL
Jian, Huan-Yan; Huang, Ting-Zhu; Gu, Xian-Ming; Zhao, Xi-Le; Zhao, Yong-Liang Fast implicit integration factor method for nonlinear space Riesz fractional reaction-diffusion equations. (English) Zbl 1437.65100 J. Comput. Appl. Math. 378, Article ID 112935, 16 p. (2020). MSC: 65M06 65M20 65Y20 65F10 65F08 65F15 15B05 35K57 26A33 35R11 PDF BibTeX XML Cite \textit{H.-Y. Jian} et al., J. Comput. Appl. Math. 378, Article ID 112935, 16 p. (2020; Zbl 1437.65100) Full Text: DOI OpenURL
Jia, Zhongxiao Approximation accuracy of the Krylov subspaces for linear discrete ill-posed problems. (English) Zbl 1434.65043 J. Comput. Appl. Math. 374, Article ID 112786, 25 p. (2020). Reviewer: Constantin Popa (Constanţa) MSC: 65F22 15A18 65F10 65F20 65R32 65J20 65J22 65R30 47A52 15A29 45Q05 86A22 PDF BibTeX XML Cite \textit{Z. Jia}, J. Comput. Appl. Math. 374, Article ID 112786, 25 p. (2020; Zbl 1434.65043) Full Text: DOI arXiv OpenURL
Archid, Atika; Bentbib, Abdeslem Hafid; Agoujil, Said A block \(J\)-Lanczos method for Hamiltonian matrices. (English) Zbl 1431.65040 ETNA, Electron. Trans. Numer. Anal. 52, 26-42 (2020). MSC: 65F15 65F50 PDF BibTeX XML Cite \textit{A. Archid} et al., ETNA, Electron. Trans. Numer. Anal. 52, 26--42 (2020; Zbl 1431.65040) Full Text: DOI Link OpenURL
Brás, C. P.; Martínez, J. M.; Raydan, M. Large-scale unconstrained optimization using separable cubic modeling and matrix-free subspace minimization. (English) Zbl 1432.90119 Comput. Optim. Appl. 75, No. 1, 169-205 (2020). MSC: 90C26 65K10 90C06 PDF BibTeX XML Cite \textit{C. P. Brás} et al., Comput. Optim. Appl. 75, No. 1, 169--205 (2020; Zbl 1432.90119) Full Text: DOI Link OpenURL
Girardi, Maria; Padovani, Cristina; Pellegrini, Daniele; Porcelli, Margherita; Robol, Leonardo Finite element model updating for structural applications. (English) Zbl 07169492 J. Comput. Appl. Math. 370, Article ID 112675, 19 p. (2020). MSC: 65F18 15A22 65L60 70J10 PDF BibTeX XML Cite \textit{M. Girardi} et al., J. Comput. Appl. Math. 370, Article ID 112675, 19 p. (2020; Zbl 07169492) Full Text: DOI arXiv OpenURL
Panchal, Ravi; Patel, A. C.; Hasmani, A. H. On Lanczos potential for spherically symmetric spacetimes. (English) Zbl 1478.83032 J. Tensor Soc. (N.S.) 13, 31-43 (2019). MSC: 83C20 83C50 83C60 PDF BibTeX XML Cite \textit{R. Panchal} et al., J. Tensor Soc. (N.S.) 13, 31--43 (2019; Zbl 1478.83032) Full Text: Link OpenURL
Maharani, Maharani; Larasati, Niken; Salhi, Abdellah; Khan, Wali Mashwani Lanczos-type algorithms with embedded interpolation and extrapolation models for solving large-scale systems of linear equations. (English) Zbl 1453.65060 Int. J. Comput. Sci. Math. 10, No. 5, 429-442 (2019). MSC: 65F05 65D05 PDF BibTeX XML Cite \textit{M. Maharani} et al., Int. J. Comput. Sci. Math. 10, No. 5, 429--442 (2019; Zbl 1453.65060) Full Text: DOI OpenURL
Zhong, Hong-Xiu; Chen, Guo-Liang Thick restarting the weighted harmonic Golub-Kahan-Lanczos algorithm for the linear response eigenvalue problem. (English) Zbl 1431.65049 ETNA, Electron. Trans. Numer. Anal. 51, 529-546 (2019). MSC: 65F15 65F50 15A18 PDF BibTeX XML Cite \textit{H.-X. Zhong} and \textit{G.-L. Chen}, ETNA, Electron. Trans. Numer. Anal. 51, 529--546 (2019; Zbl 1431.65049) Full Text: DOI Link OpenURL
Paige, Christopher C. Accuracy of the Lanczos process for the eigenproblem and solution of equations. (English) Zbl 1427.65044 SIAM J. Matrix Anal. Appl. 40, No. 4, 1371-1398 (2019). MSC: 65F10 65F15 65F25 65F50 65G50 15A18 15B57 PDF BibTeX XML Cite \textit{C. C. Paige}, SIAM J. Matrix Anal. Appl. 40, No. 4, 1371--1398 (2019; Zbl 1427.65044) Full Text: DOI OpenURL
Caruso, Noe Angelo; Novati, Paolo Convergence analysis of LSQR for compact operator equations. (English) Zbl 1425.65048 Linear Algebra Appl. 583, 146-164 (2019). MSC: 65F10 65F22 65R32 PDF BibTeX XML Cite \textit{N. A. Caruso} and \textit{P. Novati}, Linear Algebra Appl. 583, 146--164 (2019; Zbl 1425.65048) Full Text: DOI OpenURL
Song, Liqiang; Yang, Weihong A block Lanczos method for the CDT subproblem. (English) Zbl 1438.65066 J. Comput. Math. 37, No. 2, 240-260 (2019). MSC: 65F15 65K05 PDF BibTeX XML Cite \textit{L. Song} and \textit{W. Yang}, J. Comput. Math. 37, No. 2, 240--260 (2019; Zbl 1438.65066) Full Text: DOI OpenURL
Gorb, Yuliya; Kramarenko, Vasiliy; Kuznetsov, Yuri Preconditioned iterative methods for diffusion problems with high-contrast inclusions. (English) Zbl 1449.65058 Numer. Linear Algebra Appl. 26, No. 4, e2243, 17 p. (2019). Reviewer: Miroslav Rozloznik MSC: 65F10 65F08 65N22 PDF BibTeX XML Cite \textit{Y. Gorb} et al., Numer. Linear Algebra Appl. 26, No. 4, e2243, 17 p. (2019; Zbl 1449.65058) Full Text: DOI arXiv OpenURL
Ahsan, Zafar The potential of fields in Einstein’s theory of gravitation. (English) Zbl 1434.83002 Singapore: Springer (ISBN 978-981-13-8975-7/hbk; 978-981-13-8976-4/ebook). xii, 125 p. (2019). Reviewer: Gabor Etesi (Budapest) MSC: 83-02 31-02 83C05 83C40 83C22 83C60 PDF BibTeX XML Cite \textit{Z. Ahsan}, The potential of fields in Einstein's theory of gravitation. Singapore: Springer (2019; Zbl 1434.83002) Full Text: DOI OpenURL
Sheikholeslami, Somayyeh; Lambers, James V.; Walker, Carley Convergence analysis of Krylov subspace spectral methods for reaction-diffusion equations. (English) Zbl 07074406 J. Sci. Comput. 78, No. 3, 1768-1789 (2019). MSC: 65Lxx 34Axx PDF BibTeX XML Cite \textit{S. Sheikholeslami} et al., J. Sci. Comput. 78, No. 3, 1768--1789 (2019; Zbl 07074406) Full Text: DOI OpenURL
Li, Sheng-Kun; Huang, Ting-Zhu A shifted complex global Lanczos method and the quasi-minimal residual variant for the Stein-conjugate matrix equation \(X + A \overline{X} B = C\). (English) Zbl 1415.65101 J. Comput. Appl. Math. 357, 1-11 (2019). MSC: 65F30 15A24 65F10 PDF BibTeX XML Cite \textit{S.-K. Li} and \textit{T.-Z. Huang}, J. Comput. Appl. Math. 357, 1--11 (2019; Zbl 1415.65101) Full Text: DOI OpenURL
Song, Liqiang; Yang, Wei Hong A block Lanczos method for the extended trust-region subproblem. (English) Zbl 1412.90102 SIAM J. Optim. 29, No. 1, 571-594 (2019). MSC: 90C20 90C26 90C30 65K05 PDF BibTeX XML Cite \textit{L. Song} and \textit{W. H. Yang}, SIAM J. Optim. 29, No. 1, 571--594 (2019; Zbl 1412.90102) Full Text: DOI OpenURL
Eirola, Timo; Koskela, Antti Krylov integrators for Hamiltonian systems. (English) Zbl 1435.65228 BIT 59, No. 1, 57-76 (2019). Reviewer: Stathis Antoniou (Athína) MSC: 65P10 37M15 65F60 65F10 PDF BibTeX XML Cite \textit{T. Eirola} and \textit{A. Koskela}, BIT 59, No. 1, 57--76 (2019; Zbl 1435.65228) Full Text: DOI arXiv OpenURL
Estrin, Ron; Orban, Dominique; Saunders, Michael Euclidean-norm error bounds for SYMMLQ and CG. (English) Zbl 1409.65015 SIAM J. Matrix Anal. Appl. 40, No. 1, 235-253 (2019). MSC: 65F10 65F50 PDF BibTeX XML Cite \textit{R. Estrin} et al., SIAM J. Matrix Anal. Appl. 40, No. 1, 235--253 (2019; Zbl 1409.65015) Full Text: DOI OpenURL
Hou, Thomas Y.; Huang, De; Lam, Ka Chun; Zhang, Ziyun A fast hierarchically preconditioned eigensolver based on multiresolution matrix decomposition. (English) Zbl 1455.65053 Multiscale Model. Simul. 17, No. 1, 260-306 (2019). MSC: 65F15 15A18 15A12 65F08 PDF BibTeX XML Cite \textit{T. Y. Hou} et al., Multiscale Model. Simul. 17, No. 1, 260--306 (2019; Zbl 1455.65053) Full Text: DOI arXiv OpenURL
Deuflhard, Peter; Hohmann, Andreas Numerical mathematics. 1: An algorithmically oriented introduction. 5th revised and expanded edition. (Numerische Mathematik 1. Eine algorithmisch orientierte Einführung.) (English) Zbl 1404.65001 de Gruyter Studium. Berlin: de Gruyter (ISBN 978-3-11-061421-3/pbk; 978-3-11-061432-9/ebook). xii, 348 p. (2019). MSC: 65-01 65H10 65Q20 65Fxx 65Dxx 65C60 62J05 65G50 65T50 65Bxx 65Cxx PDF BibTeX XML Cite \textit{P. Deuflhard} and \textit{A. Hohmann}, Numerische Mathematik 1. Eine algorithmisch orientierte Einführung. 5th revised and expanded edition. Berlin: de Gruyter (2019; Zbl 1404.65001) Full Text: DOI OpenURL
Maharani, M.; Salhi, A.; Mashwani, W. K.; Yeniay, Ozgur; Larasati, N.; Triyani, Triyani Solving large scale systems of linear equations with a stabilized Lanczos-type algorithms running on a cloud computing platform. (English) Zbl 1470.65055 Hacet. J. Math. Stat. 47, No. 6, 1730-1741 (2018). MSC: 65F10 65Y05 PDF BibTeX XML Cite \textit{M. Maharani} et al., Hacet. J. Math. Stat. 47, No. 6, 1730--1741 (2018; Zbl 1470.65055) Full Text: Link OpenURL
Hajarian, Masoud Computing symmetric solutions of general Sylvester matrix equations via Lanczos version of biconjugate residual algorithm. (English) Zbl 1427.65056 Comput. Math. Appl. 76, No. 4, 686-700 (2018). MSC: 65F45 15A24 PDF BibTeX XML Cite \textit{M. Hajarian}, Comput. Math. Appl. 76, No. 4, 686--700 (2018; Zbl 1427.65056) Full Text: DOI OpenURL
Lee, Dongjin; Hoshi, Takeo; Sogabe, Tomohiro; Miyatake, Yuto; Zhang, Shao-Liang Solution of the \(k\)-th eigenvalue problem in large-scale electronic structure calculations. (English) Zbl 1415.65088 J. Comput. Phys. 371, 618-632 (2018). MSC: 65F15 65F50 65Z05 PDF BibTeX XML Cite \textit{D. Lee} et al., J. Comput. Phys. 371, 618--632 (2018; Zbl 1415.65088) Full Text: DOI arXiv OpenURL
Sheikholeslami, Somayyeh; Lambers, James V. Modeling of first-order photobleaching kinetics using Krylov subspace spectral methods. (English) Zbl 1409.78009 Comput. Math. Appl. 75, No. 6, 2153-2172 (2018). MSC: 78M22 65M70 65M22 PDF BibTeX XML Cite \textit{S. Sheikholeslami} and \textit{J. V. Lambers}, Comput. Math. Appl. 75, No. 6, 2153--2172 (2018; Zbl 1409.78009) Full Text: DOI Link OpenURL
Zhou, Ming Convergence estimates of nonrestarted and restarted block-Lanczos methods. (English) Zbl 06987005 Numer. Linear Algebra Appl. 25, No. 5, e2182, 19 p. (2018). MSC: 65F15 PDF BibTeX XML Cite \textit{M. Zhou}, Numer. Linear Algebra Appl. 25, No. 5, e2182, 19 p. (2018; Zbl 06987005) Full Text: DOI OpenURL
Pozza, Stefano; Pranić, Miroslav S.; Strakoš, Zdeněk The Lanczos algorithm and complex Gauss quadrature. (English) Zbl 06965964 ETNA, Electron. Trans. Numer. Anal. 50, 1-19 (2018). MSC: 65D15 65D32 65F10 47B36 PDF BibTeX XML Cite \textit{S. Pozza} et al., ETNA, Electron. Trans. Numer. Anal. 50, 1--19 (2018; Zbl 06965964) Full Text: DOI Link OpenURL
Zhang, Leihong; Yang, Weihong; Shen, Chungen; Feng, Jiang Error bounds of Lanczos approach for trust-region subproblem. (English) Zbl 1392.90088 Front. Math. China 13, No. 2, 459-481 (2018). MSC: 90C20 90C06 65F10 65F15 65F35 PDF BibTeX XML Cite \textit{L. Zhang} et al., Front. Math. China 13, No. 2, 459--481 (2018; Zbl 1392.90088) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{L.-H. Zhang} and \textit{C. Shen}, SIAM J. Sci. Comput. 40, No. 4, A2005--A2032 (2018; Zbl 1402.90113) Full Text: DOI OpenURL
Iserles, Arieh; Kropielnicka, Karolina; Singh, Pranav Magnus-Lanczos methods with simplified commutators for the Schrödinger equation with a time-dependent potential. (English) Zbl 1395.65102 SIAM J. Numer. Anal. 56, No. 3, 1547-1569 (2018). MSC: 65M70 35Q41 65L05 65F60 PDF BibTeX XML Cite \textit{A. Iserles} et al., SIAM J. Numer. Anal. 56, No. 3, 1547--1569 (2018; Zbl 1395.65102) Full Text: DOI arXiv OpenURL
Nakamura, Yoshimasa; Sekido, Hiroto An application of the discrete-time Toda lattice to the progressive algorithm by Lanczos and related problems. (English) Zbl 1392.65097 J. Phys. A, Math. Theor. 51, No. 17, Article ID 174001, 20 p. (2018). Reviewer: Anton Iliev (Plovdiv) MSC: 65F15 37J35 65F30 15A42 65F10 PDF BibTeX XML Cite \textit{Y. Nakamura} and \textit{H. Sekido}, J. Phys. A, Math. Theor. 51, No. 17, Article ID 174001, 20 p. (2018; Zbl 1392.65097) Full Text: DOI OpenURL
Novati, P. A convergence result for some Krylov-Tikhonov methods in Hilbert spaces. (English) Zbl 1392.65068 Numer. Funct. Anal. Optim. 39, No. 6, 655-666 (2018). MSC: 65F10 65F22 65R32 PDF BibTeX XML Cite \textit{P. Novati}, Numer. Funct. Anal. Optim. 39, No. 6, 655--666 (2018; Zbl 1392.65068) Full Text: DOI OpenURL
Barkouki, H.; Bentbib, A. H.; Heyouni, Mohammed; Jbilou, K. An extended nonsymmetric block Lanczos method for model reduction in large scale dynamical systems. (English) Zbl 1416.65128 Calcolo 55, No. 1, Paper No. 13, 23 p. (2018). MSC: 65F99 65F10 PDF BibTeX XML Cite \textit{H. Barkouki} et al., Calcolo 55, No. 1, Paper No. 13, 23 p. (2018; Zbl 1416.65128) Full Text: DOI OpenURL
Li, Jicheng; Dong, Liqiang; Li, Guo A class of inverse eigenvalue problems for real symmetric banded matrices with odd bandwidth. (English) Zbl 1380.65073 Linear Algebra Appl. 541, 131-162 (2018). MSC: 65F15 65F50 PDF BibTeX XML Cite \textit{J. Li} et al., Linear Algebra Appl. 541, 131--162 (2018; Zbl 1380.65073) Full Text: DOI OpenURL
Grcar, Joseph F. Monotonic linear recurrences. (English) Zbl 1376.65151 Linear Algebra Appl. 537, 12-21 (2018). MSC: 65Q30 65D20 33C10 65F15 65F50 65F10 33F05 PDF BibTeX XML Cite \textit{J. F. Grcar}, Linear Algebra Appl. 537, 12--21 (2018; Zbl 1376.65151) Full Text: DOI OpenURL
Ye, Qiang Accurate inverses for computing eigenvalues of extremely ill-conditioned matrices and differential operators. (English) Zbl 1376.65057 Math. Comput. 87, No. 309, 237-259 (2018). MSC: 65F15 65F35 65N06 65N25 PDF BibTeX XML Cite \textit{Q. Ye}, Math. Comput. 87, No. 309, 237--259 (2018; Zbl 1376.65057) Full Text: DOI arXiv OpenURL
Issa, K.; Adeniyi, R. B.; Yisa, B. M. Generalized error estimation of the tau method in ordinary differential equations. (English) Zbl 1474.34108 J. Niger. Math. Soc. 36, No. 1, 113-137 (2017). MSC: 34B05 34B15 65L05 65L10 PDF BibTeX XML Cite \textit{K. Issa} et al., J. Niger. Math. Soc. 36, No. 1, 113--137 (2017; Zbl 1474.34108) Full Text: Link OpenURL
Bhateja, A. K.; Kannan, Vaishnavi Cache optimized solution for sparse linear system over large order finite field. (English) Zbl 1455.65047 Giri, Debasis (ed.) et al., Mathematics and computing. Third international conference, ICMC 2017, Haldia, India, January 17–21, 2017. Proceedings. Singapore: Springer. Commun. Comput. Inf. Sci. 655, 84-95 (2017). MSC: 65F50 65F10 65Y20 PDF BibTeX XML Cite \textit{A. K. Bhateja} and \textit{V. Kannan}, Commun. Comput. Inf. Sci. 655, 84--95 (2017; Zbl 1455.65047) Full Text: DOI OpenURL
Chen, Aimin; Liu, Fawang A finite volume unstructured mesh method for fractional-in-space Allen-Cahn equation. (English) Zbl 1424.65145 Chin. Q. J. Math. 32, No. 4, 345-354 (2017). MSC: 65M08 PDF BibTeX XML Cite \textit{A. Chen} and \textit{F. Liu}, Chin. Q. J. Math. 32, No. 4, 345--354 (2017; Zbl 1424.65145) Full Text: DOI OpenURL
Schmidt, Paul; Mühlau, Mark; Schmid, Volker Fitting large-scale structured additive regression models using Krylov subspace methods. (English) Zbl 1466.62190 Comput. Stat. Data Anal. 105, 59-75 (2017). MSC: 62-08 PDF BibTeX XML Cite \textit{P. Schmidt} et al., Comput. Stat. Data Anal. 105, 59--75 (2017; Zbl 1466.62190) Full Text: DOI OpenURL
Eshghi, Nasim; Reichel, Lothar; Spalević, Miodrag M. Enhanced matrix function approximation. (English) Zbl 1392.65019 ETNA, Electron. Trans. Numer. Anal. 47, 197-205 (2017). MSC: 65D32 65F10 65F60 PDF BibTeX XML Cite \textit{N. Eshghi} et al., ETNA, Electron. Trans. Numer. Anal. 47, 197--205 (2017; Zbl 1392.65019) Full Text: Link OpenURL
Zhang, Zhongming Teng Lei-Hong A block Lanczos method for the linear response eigenvalue problem. (English) Zbl 1392.65102 ETNA, Electron. Trans. Numer. Anal. 46, 505-523 (2017). MSC: 65F15 15A18 PDF BibTeX XML Cite \textit{Z. T. L. H. Zhang}, ETNA, Electron. Trans. Numer. Anal. 46, 505--523 (2017; Zbl 1392.65102) Full Text: Link OpenURL
Cherepniov, M. A.; Zamarashkin, N. L. The universal block Lanczos-Padé method for linear systems over large prime fields. (English. Russian original) Zbl 1404.65038 J. Math. Sci., New York 221, No. 3, 461-478 (2017); translation from Fundam. Prikl. Mat. 19, No. 6, 225-249 (2014). Reviewer: Nikolay Kyurkchiev (Plovdiv) MSC: 65F50 65F10 41A21 65Y05 65Y20 PDF BibTeX XML Cite \textit{M. A. Cherepniov} and \textit{N. L. Zamarashkin}, J. Math. Sci., New York 221, No. 3, 461--478 (2017; Zbl 1404.65038); translation from Fundam. Prikl. Mat. 19, No. 6, 225--249 (2014) Full Text: DOI OpenURL
Bosch, Jessica; Greif, Chen Numerical solution of linear eigenvalue problems. (English) Zbl 1385.65029 Girouard, Alexandre (ed.) et al., Geometric and computational spectral theory. Lectures from the Séminaire de Mathématiques Supérieures, Centre de Recherches Mathématiques, Université de Montréal, Montréal, QC, Canada, June 15–26, 2015. Providence, RI: American Mathematical Society (AMS); Montreal: Centre de Recherches Mathématiques (CRM) (ISBN 978-1-4704-2665-1/pbk; 978-1-4704-4258-3/ebook). Contemporary Mathematics 700. Centre de Recherches Mathématiques Proceedings, 117-153 (2017). MSC: 65F15 65F50 PDF BibTeX XML Cite \textit{J. Bosch} and \textit{C. Greif}, Contemp. Math. 700, 117--153 (2017; Zbl 1385.65029) Full Text: DOI Link OpenURL
Gaaf, Sarah W.; Jarlebring, Elias The infinite bi-Lanczos method for nonlinear eigenvalue problems. (English) Zbl 1392.65093 SIAM J. Sci. Comput. 39, No. 5, S898-S919 (2017). MSC: 65F15 65H17 65F50 PDF BibTeX XML Cite \textit{S. W. Gaaf} and \textit{E. Jarlebring}, SIAM J. Sci. Comput. 39, No. 5, S898--S919 (2017; Zbl 1392.65093) Full Text: DOI arXiv OpenURL
Zhang, Lei-Hong; Shen, Chungen; Li, Ren-Cang On the generalized Lanczos trust-region method. (English) Zbl 1380.90210 SIAM J. Optim. 27, No. 3, 2110-2142 (2017). MSC: 90C20 90C06 65F10 65F15 65F35 PDF BibTeX XML Cite \textit{L.-H. Zhang} et al., SIAM J. Optim. 27, No. 3, 2110--2142 (2017; Zbl 1380.90210) Full Text: DOI OpenURL
Loghin, Daniel Constraint interface preconditioning for the incompressible Stokes equations. (English) Zbl 1405.65162 SIAM J. Numer. Anal. 55, No. 5, 2286-2311 (2017). Reviewer: Rolf Dieter Grigorieff (Berlin) MSC: 65N55 65F08 65F10 65N30 76D07 76M10 PDF BibTeX XML Cite \textit{D. Loghin}, SIAM J. Numer. Anal. 55, No. 5, 2286--2311 (2017; Zbl 1405.65162) Full Text: DOI OpenURL
Battista, Emmanuele; Esposito, Giampiero; Di Fiore, Luciano; Dell’Agnello, Simone; Simo, Jules; Grado, Aniello On solar system dynamics in general relativity. (English) Zbl 1375.83011 Int. J. Geom. Methods Mod. Phys. 14, No. 9, Article ID 1750117, 39 p. (2017). MSC: 83C10 53Z05 35Q75 70F15 85A05 83C47 83C25 PDF BibTeX XML Cite \textit{E. Battista} et al., Int. J. Geom. Methods Mod. Phys. 14, No. 9, Article ID 1750117, 39 p. (2017; Zbl 1375.83011) Full Text: DOI arXiv OpenURL
Kressner, Daniel; Periša, Lana Recompression of Hadamard products of tensors in Tucker format. (English) Zbl 1373.65031 SIAM J. Sci. Comput. 39, No. 5, A1879-A1902 (2017). MSC: 65F30 15A69 65Y20 62-07 65F10 PDF BibTeX XML Cite \textit{D. Kressner} and \textit{L. Periša}, SIAM J. Sci. Comput. 39, No. 5, A1879--A1902 (2017; Zbl 1373.65031) Full Text: DOI OpenURL
Li, Ruipeng; Saad, Yousef Low-rank correction methods for algebraic domain decomposition preconditioners. (English) Zbl 1371.65029 SIAM J. Matrix Anal. Appl. 38, No. 3, 807-828 (2017). MSC: 65F08 65F10 65Y05 65F50 65N55 65F25 35J05 74B05 PDF BibTeX XML Cite \textit{R. Li} and \textit{Y. Saad}, SIAM J. Matrix Anal. Appl. 38, No. 3, 807--828 (2017; Zbl 1371.65029) Full Text: DOI arXiv OpenURL
Frommer, Andreas; Lund, Kathryn; Schweitzer, Marcel; Szyld, Daniel B. The Radau-Lanczos method for matrix functions. (English) Zbl 1371.65042 SIAM J. Matrix Anal. Appl. 38, No. 3, 710-732 (2017). MSC: 65F60 15B57 15B48 65D32 PDF BibTeX XML Cite \textit{A. Frommer} et al., SIAM J. Matrix Anal. Appl. 38, No. 3, 710--732 (2017; Zbl 1371.65042) Full Text: DOI OpenURL
Wang, Hao; Ye, Qiang Error bounds for the Krylov subspace methods for computations of matrix exponentials. (English) Zbl 1365.65136 SIAM J. Matrix Anal. Appl. 38, No. 1, 155-187 (2017). MSC: 65F60 65F10 15A16 PDF BibTeX XML Cite \textit{H. Wang} and \textit{Q. Ye}, SIAM J. Matrix Anal. Appl. 38, No. 1, 155--187 (2017; Zbl 1365.65136) Full Text: DOI arXiv OpenURL
Orban, Dominique; Arioli, Mario Iterative solution of symmetric quasi-definite linear systems. (English) Zbl 1409.65004 SIAM Spotlights 3. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-1-61197-472-0/pbk; 978-1-61197-473-7/ebook). 95 p. (2017). Reviewer: Constantin Popa (Constanţa) MSC: 65-02 68N15 65Fxx PDF BibTeX XML Cite \textit{D. Orban} and \textit{M. Arioli}, Iterative solution of symmetric quasi-definite linear systems. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2017; Zbl 1409.65004) Full Text: DOI OpenURL
Nechepurenko, Yu. M.; Sadkane, M. Computing humps of the matrix exponential. (English) Zbl 1360.65136 J. Comput. Appl. Math. 319, 87-96 (2017). MSC: 65F60 65F10 65F50 PDF BibTeX XML Cite \textit{Yu. M. Nechepurenko} and \textit{M. Sadkane}, J. Comput. Appl. Math. 319, 87--96 (2017; Zbl 1360.65136) Full Text: DOI OpenURL
Gao, Zhe Reduced order modeling method for linear fractional-order systems based on unsymmetric Lanczos algorithm. (Chinese. English summary) Zbl 1374.93059 Control Decis. 31, No. 8, 1499-1504 (2016). MSC: 93B11 93B40 93C05 34A08 PDF BibTeX XML Cite \textit{Z. Gao}, Control Decis. 31, No. 8, 1499--1504 (2016; Zbl 1374.93059) Full Text: DOI OpenURL
Xie, Dongxiu; Xu, An-Bao; Peng, Zhenyun Least-squares symmetric solution to the matrix equation \(AXB=C\) with the norm inequality constraint. (English) Zbl 1360.65131 Int. J. Comput. Math. 93, No. 9, 1564-1578 (2016). Reviewer: Constantin Popa (Constanţa) MSC: 65F30 65F10 15A24 65F20 PDF BibTeX XML Cite \textit{D. Xie} et al., Int. J. Comput. Math. 93, No. 9, 1564--1578 (2016; Zbl 1360.65131) Full Text: DOI OpenURL
Li, Ruipeng; Xi, Yuanzhe; Saad, Yousef Schur complement-based domain decomposition preconditioners with low-rank corrections. (English) Zbl 1399.65238 Numer. Linear Algebra Appl. 23, No. 4, 706-729 (2016). Reviewer: Miroslav Tůma (Praha) MSC: 65M55 65F08 65F10 65F50 35J05 15A18 PDF BibTeX XML Cite \textit{R. Li} et al., Numer. Linear Algebra Appl. 23, No. 4, 706--729 (2016; Zbl 1399.65238) Full Text: DOI arXiv OpenURL
Zhang, Jin; Li, Chunguang; Jing, Hefang A modified QMR algorithm based on the \(A\)-Lanczos biorthogonal process. (Chinese. English summary) Zbl 1363.65069 J. Math., Wuhan Univ. 36, No. 4, 767-774 (2016). MSC: 65F25 65F10 65F50 PDF BibTeX XML Cite \textit{J. Zhang} et al., J. Math., Wuhan Univ. 36, No. 4, 767--774 (2016; Zbl 1363.65069) OpenURL
Liu, Xudong; Wang, Zhengsheng; Xu, Guili Computing pseudospectra using augmented block Householder Arnoldi iteration. (English) Zbl 1363.65064 Commun. Appl. Math. Comput. 30, No. 2, 297-316 (2016). MSC: 65F15 65F10 65F20 PDF BibTeX XML Cite \textit{X. Liu} et al., Commun. Appl. Math. Comput. 30, No. 2, 297--316 (2016; Zbl 1363.65064) Full Text: DOI OpenURL
Tabak, Umut; Rixen, Daniel J. Vibro-Lanczos, a symmetric Lanczos solver for vibro-acoustic simulations. (English) Zbl 1352.74138 Int. J. Numer. Methods Eng. 107, No. 4, 290-311 (2016). MSC: 74H45 65F15 65N25 PDF BibTeX XML Cite \textit{U. Tabak} and \textit{D. J. Rixen}, Int. J. Numer. Methods Eng. 107, No. 4, 290--311 (2016; Zbl 1352.74138) Full Text: DOI OpenURL
Campos, Carmen; Roman, Jose E. Restarted Q-Arnoldi-type methods exploiting symmetry in quadratic eigenvalue problems. (English) Zbl 1355.65057 BIT 56, No. 4, 1213-1236 (2016). MSC: 65F15 65F50 PDF BibTeX XML Cite \textit{C. Campos} and \textit{J. E. Roman}, BIT 56, No. 4, 1213--1236 (2016; Zbl 1355.65057) Full Text: DOI Link OpenURL
Cibotarica, Alexandru; Lambers, James V.; Palchak, Elisabeth M. Solution of nonlinear time-dependent PDEs through componentwise approximation of matrix functions. (English) Zbl 1349.65204 J. Comput. Phys. 321, 1120-1143 (2016). MSC: 65L04 PDF BibTeX XML Cite \textit{A. Cibotarica} et al., J. Comput. Phys. 321, 1120--1143 (2016; Zbl 1349.65204) Full Text: DOI OpenURL
Issa, Kazeem; Adeniyi, R. B. Extension of generalized recursive tau method to non-linear ordinary differential equations. (English) Zbl 1353.65070 J. Niger. Math. Soc. 35, No. 1, 18-24 (2016). MSC: 65L05 34A34 PDF BibTeX XML Cite \textit{K. Issa} and \textit{R. B. Adeniyi}, J. Niger. Math. Soc. 35, No. 1, 18--24 (2016; Zbl 1353.65070) Full Text: DOI OpenURL
Bangay, Shaun; Beliakov, Gleb On the fast Lanczos method for computation of eigenvalues of Hankel matrices using multiprecision arithmetics. (English) Zbl 1413.65089 Numer. Linear Algebra Appl. 23, No. 3, 485-500 (2016). MSC: 65F15 15B05 65T50 PDF BibTeX XML Cite \textit{S. Bangay} and \textit{G. Beliakov}, Numer. Linear Algebra Appl. 23, No. 3, 485--500 (2016; Zbl 1413.65089) Full Text: DOI OpenURL
Martínez, Ángeles Tuned preconditioners for the eigensolution of large SPD matrices arising in engineering problems. (English) Zbl 1413.65101 Numer. Linear Algebra Appl. 23, No. 3, 427-443 (2016). MSC: 65F15 65F08 PDF BibTeX XML Cite \textit{Á. Martínez}, Numer. Linear Algebra Appl. 23, No. 3, 427--443 (2016; Zbl 1413.65101) Full Text: DOI OpenURL
Gazzola, Silvia; Novati, Paolo Inheritance of the discrete Picard condition in Krylov subspace methods. (English) Zbl 1353.65023 BIT 56, No. 3, 893-918 (2016). Reviewer: Constantin Popa (Constanţa) MSC: 65F10 65F22 PDF BibTeX XML Cite \textit{S. Gazzola} and \textit{P. Novati}, BIT 56, No. 3, 893--918 (2016; Zbl 1353.65023) Full Text: DOI OpenURL
Frommer, Andreas; Schweitzer, Marcel Error bounds and estimates for Krylov subspace approximations of Stieltjes matrix functions. (English) Zbl 1353.65038 BIT 56, No. 3, 865-892 (2016). Reviewer: Constantin Popa (Constanţa) MSC: 65F60 65F50 65F10 65F30 65D32 PDF BibTeX XML Cite \textit{A. Frommer} and \textit{M. Schweitzer}, BIT 56, No. 3, 865--892 (2016; Zbl 1353.65038) Full Text: DOI OpenURL
Greif, C.; Paige, C. C.; Titley-Peloquin, D.; Varah, J. M. Numerical equivalences among Krylov subspace algorithms for skew-symmetric matrices. (English) Zbl 1347.65062 SIAM J. Matrix Anal. Appl. 37, No. 3, 1071-1087 (2016). MSC: 65F10 65F50 PDF BibTeX XML Cite \textit{C. Greif} et al., SIAM J. Matrix Anal. Appl. 37, No. 3, 1071--1087 (2016; Zbl 1347.65062) Full Text: DOI OpenURL
Schweitzer, Marcel Monotone convergence of the extended Krylov subspace method for Laplace-Stieltjes functions of Hermitian positive definite matrices. (English) Zbl 1347.65088 Linear Algebra Appl. 507, 486-498 (2016). MSC: 65F60 65F10 PDF BibTeX XML Cite \textit{M. Schweitzer}, Linear Algebra Appl. 507, 486--498 (2016; Zbl 1347.65088) Full Text: DOI OpenURL
Gazzola, Silvia; Onunwor, Enyinda; Reichel, Lothar; Rodriguez, Giuseppe On the Lanczos and Golub-Kahan reduction methods applied to discrete ill-posed problems. (English) Zbl 1413.65120 Numer. Linear Algebra Appl. 23, No. 1, 187-204 (2016). MSC: 65F22 65F10 65F35 PDF BibTeX XML Cite \textit{S. Gazzola} et al., Numer. Linear Algebra Appl. 23, No. 1, 187--204 (2016; Zbl 1413.65120) Full Text: DOI OpenURL
Gu, Xian-Ming; Huang, Ting-Zhu; Carpentieri, Bruno BiCGCR2: A new extension of conjugate residual method for solving non-Hermitian linear systems. (English) Zbl 1336.65040 J. Comput. Appl. Math. 305, 115-128 (2016). MSC: 65F10 65F50 PDF BibTeX XML Cite \textit{X.-M. Gu} et al., J. Comput. Appl. Math. 305, 115--128 (2016; Zbl 1336.65040) Full Text: DOI OpenURL