Chen, Pengwen; Cheng, Chung-Kuan; Wang, Xinyuan Arnoldi algorithms with structured orthogonalization. (English) Zbl 07314375 SIAM J. Numer. Anal. 59, No. 1, 370-400 (2021). MSC: 68Q25 68R10 68U05 PDF BibTeX XML Cite \textit{P. Chen} et al., SIAM J. Numer. Anal. 59, No. 1, 370--400 (2021; Zbl 07314375) Full Text: DOI
Wen, Chun; Hu, Qian-Ying; Yin, Guo-Jian; Gu, Xian-Ming; Shen, Zhao-Li An adaptive Power-GArnoldi algorithm for computing PageRank. (English) Zbl 07305135 J. Comput. Appl. Math. 386, Article ID 113209, 15 p. (2021). MSC: 65F10 65F15 PDF BibTeX XML Cite \textit{C. Wen} et al., J. Comput. Appl. Math. 386, Article ID 113209, 15 p. (2021; Zbl 07305135) Full Text: DOI
Frommer, Andreas; Jacob, Brigit; Kahl, Kartsen; Wyss, Christian; Zwaan, Ian Krylov type methods for linear systems exploiting properties of the quadratic numerical range. (English) Zbl 07311970 ETNA, Electron. Trans. Numer. Anal. 53, 541-561 (2020). MSC: 15A60 47A12 65F10 65N55 PDF BibTeX XML Cite \textit{A. Frommer} et al., ETNA, Electron. Trans. Numer. Anal. 53, 541--561 (2020; Zbl 07311970) Full Text: DOI Link
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
Mauroy, Alexandre; Susuki, Yoshihiko; Mezić, Igor Introduction to the Koopman operator in dynamical systems and control theory. (English) Zbl 07276014 Mauroy, Alexandre (ed.) et al., The Koopman operator in systems and control. Concepts, methodologies and applications. Cham: Springer (ISBN 978-3-030-35712-2/hbk; 978-3-030-35713-9/ebook). Lecture Notes in Control and Information Sciences 484, 3-33 (2020). MSC: 93B28 93C55 93-02 PDF BibTeX XML Cite \textit{A. Mauroy} et al., Lect. Notes Control Inf. Sci. 484, 3--33 (2020; Zbl 07276014) Full Text: DOI
Miao, Cun-Qiang; Tan, Xue-Yuan Accelerating the Arnoldi method via Chebyshev polynomials for computing PageRank. (English) Zbl 1439.65049 J. Comput. Appl. Math. 377, Article ID 112891, 9 p. (2020). Reviewer: Anton Iliev (Plovdiv) MSC: 65F15 65C40 65N25 PDF BibTeX XML Cite \textit{C.-Q. Miao} and \textit{X.-Y. Tan}, J. Comput. Appl. Math. 377, Article ID 112891, 9 p. (2020; Zbl 1439.65049) 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 PDF BibTeX XML Cite \textit{M. Heyouni} et al., J. Comput. Appl. Math. 377, Article ID 112878, 22 p. (2020; Zbl 1437.65024) Full Text: DOI
Panagiotopoulos, Dionysios; Deckers, Elke; Desmet, Wim Krylov subspaces recycling based model order reduction for acoustic BEM systems and an error estimator. (English) Zbl 1441.76083 Comput. Methods Appl. Mech. Eng. 359, Article ID 112755, 22 p. (2020). MSC: 76M15 65N38 76Q05 PDF BibTeX XML Cite \textit{D. Panagiotopoulos} et al., Comput. Methods Appl. Mech. Eng. 359, Article ID 112755, 22 p. (2020; Zbl 1441.76083) Full Text: DOI
Angelova, V.; Hached, M.; Jbilou, K. Approximate solutions to large nonsymmetric differential Riccati problems with applications to transport theory. (English) Zbl 07177899 Numer. Linear Algebra Appl. 27, No. 1, e2272, 17 p. (2020). Reviewer: Stefano Pozza (Praha) MSC: 65F45 65F10 PDF BibTeX XML Cite \textit{V. Angelova} et al., Numer. Linear Algebra Appl. 27, No. 1, e2272, 17 p. (2020; Zbl 07177899) Full Text: DOI
Beik, Fatemeh Panjeh Ali; Najafi-Kalyani, Mehdi; Reichel, Lothar Iterative Tikhonov regularization of tensor equations based on the Arnoldi process and some of its generalizations. (English) Zbl 1432.65049 Appl. Numer. Math. 151, 425-447 (2020). MSC: 65F22 65F05 65F10 PDF BibTeX XML Cite \textit{F. P. A. Beik} et al., Appl. Numer. Math. 151, 425--447 (2020; Zbl 1432.65049) Full Text: DOI
Hached, M.; Jbilou, K. Numerical methods for differential linear matrix equations via Krylov subspace methods. (English) Zbl 07169491 J. Comput. Appl. Math. 370, Article ID 112674, 12 p. (2020). MSC: 65F10 PDF BibTeX XML Cite \textit{M. Hached} and \textit{K. Jbilou}, J. Comput. Appl. Math. 370, Article ID 112674, 12 p. (2020; Zbl 07169491) Full Text: DOI
Botchev, M. A.; Knizhnerman, L. A. ART: adaptive residual-time restarting for Krylov subspace matrix exponential evaluations. (English) Zbl 1427.65060 J. Comput. Appl. Math. 364, Article ID 112311, 14 p. (2020). MSC: 65F60 65F99 65N22 65L05 35Q61 PDF BibTeX XML Cite \textit{M. A. Botchev} and \textit{L. A. Knizhnerman}, J. Comput. Appl. Math. 364, Article ID 112311, 14 p. (2020; Zbl 1427.65060) Full Text: DOI
Anantharamu, Sreevatsa; Mahesh, Krishnan A parallel and streaming dynamic mode decomposition algorithm with finite precision error analysis for large data. (English) Zbl 1451.65036 J. Comput. Phys. 380, 355-377 (2019). MSC: 65F15 76M99 65Y05 65Y20 PDF BibTeX XML Cite \textit{S. Anantharamu} and \textit{K. Mahesh}, J. Comput. Phys. 380, 355--377 (2019; Zbl 1451.65036) Full Text: DOI
Abdaoui, Ilias; Elbouyahyaoui, L.; Heyouni, Mohammed An alternative extended block Arnoldi method for solving low-rank Sylvester equations. (English) Zbl 1443.65053 Comput. Math. Appl. 78, No. 8, 2817-2830 (2019). MSC: 65F45 15A24 PDF BibTeX XML Cite \textit{I. Abdaoui} et al., Comput. Math. Appl. 78, No. 8, 2817--2830 (2019; Zbl 1443.65053) Full Text: DOI
Li, Kun; Huang, Ting-Zhu; Li, Liang; Lanteri, Stéphane A reduced-order discontinuous Galerkin method based on a Krylov subspace technique in nanophotonics. (English) Zbl 1428.78031 Appl. Math. Comput. 358, 128-145 (2019). MSC: 78M10 65M60 78A55 PDF BibTeX XML Cite \textit{K. Li} et al., Appl. Math. Comput. 358, 128--145 (2019; Zbl 1428.78031) Full Text: DOI
Dericioğlu, Yaprak Güldoğan; Kurulay, Muhammet A computational method for large-scale differential symmetric Stein equation. (English) Zbl 1427.65041 Math. Methods Appl. Sci. 42, No. 16, 5438-5445 (2019). MSC: 65F10 65F99 PDF BibTeX XML Cite \textit{Y. G. Dericioğlu} and \textit{M. Kurulay}, Math. Methods Appl. Sci. 42, No. 16, 5438--5445 (2019; Zbl 1427.65041) Full Text: DOI
Liu, Yong; Gu, Chuanqing A shift and invert reorthogonalization Arnoldi algorithm for solving the chemical master equation. (English) Zbl 1428.92007 Appl. Math. Comput. 349, 1-13 (2019). MSC: 92-08 65F99 65F60 92C45 PDF BibTeX XML Cite \textit{Y. Liu} and \textit{C. Gu}, Appl. Math. Comput. 349, 1--13 (2019; Zbl 1428.92007) Full Text: DOI
Yang, Zhanshan; Zheng, Bing Block minimum perturbation algorithm based on block Arnoldi process for nonsymmetric linear systems with multiple right-hand sides. (English) Zbl 1429.65072 Appl. Math. Comput. 347, 741-766 (2019). MSC: 65F10 15A06 65F15 65F50 PDF BibTeX XML Cite \textit{Z. Yang} and \textit{B. Zheng}, Appl. Math. Comput. 347, 741--766 (2019; Zbl 1429.65072) Full Text: DOI
Jbilou, Khalide; Raydan, Marcos Nonlinear least-squares approach for large-scale algebraic Riccati equations. (English) Zbl 1420.65035 SIAM J. Sci. Comput. 41, No. 4, A2193-A2211 (2019). MSC: 65F10 65F30 65K10 49N10 PDF BibTeX XML Cite \textit{K. Jbilou} and \textit{M. Raydan}, SIAM J. Sci. Comput. 41, No. 4, A2193--A2211 (2019; Zbl 1420.65035) Full Text: DOI
Shardlow, Tony A walk outside spheres for the fractional Laplacian: fields and first eigenvalue. (English) Zbl 1416.65034 Math. Comput. 88, No. 320, 2767-2792 (2019). MSC: 65C30 35R11 65C05 60J75 65F15 PDF BibTeX XML Cite \textit{T. Shardlow}, Math. Comput. 88, No. 320, 2767--2792 (2019; Zbl 1416.65034) Full Text: DOI arXiv
Gazzola, Silvia; Noschese, Silvia; Novati, Paolo; Reichel, Lothar Arnoldi decomposition, GMRES, and preconditioning for linear discrete ill-posed problems. (English) Zbl 1417.65119 Appl. Numer. Math. 142, 102-121 (2019). MSC: 65F22 65F10 65F35 PDF BibTeX XML Cite \textit{S. Gazzola} et al., Appl. Numer. Math. 142, 102--121 (2019; Zbl 1417.65119) Full Text: DOI arXiv
Bentbib, A. H.; Jbilou, K.; Kaouane, Y. An adaptive block tangential method for multi-input multi-output dynamical systems. (English) Zbl 1415.65075 J. Comput. Appl. Math. 358, 190-205 (2019). MSC: 65F10 65F30 PDF BibTeX XML Cite \textit{A. H. Bentbib} et al., J. Comput. Appl. Math. 358, 190--205 (2019; Zbl 1415.65075) Full Text: DOI
Cipolla, Stefano; Di Fiore, Carmine; Zellini, Paolo Low complexity matrix projections preserving actions on vectors. (English) Zbl 1415.65069 Calcolo 56, No. 2, Paper No. 8, 21 p. (2019). MSC: 65F08 90C06 90C53 15B10 PDF BibTeX XML Cite \textit{S. Cipolla} et al., Calcolo 56, No. 2, Paper No. 8, 21 p. (2019; Zbl 1415.65069) Full Text: DOI
Ramlau, Ronny; Reichel, Lothar Error estimates for Arnoldi-Tikhonov regularization for ill-posed operator equations. (English) Zbl 1416.65162 Inverse Probl. 35, No. 5, Article ID 055002, 23 p. (2019). MSC: 65J20 PDF BibTeX XML Cite \textit{R. Ramlau} and \textit{L. Reichel}, Inverse Probl. 35, No. 5, Article ID 055002, 23 p. (2019; Zbl 1416.65162) Full Text: DOI
Huang, Guangxin; Reichel, Lothar; Yin, Feng On the choice of subspace for large-scale Tikhonov regularization problems in general form. (English) Zbl 1434.65042 Numer. Algorithms 81, No. 1, 33-55 (2019). MSC: 65F22 65F10 65F50 PDF BibTeX XML Cite \textit{G. Huang} et al., Numer. Algorithms 81, No. 1, 33--55 (2019; Zbl 1434.65042) Full Text: DOI
Huhtanen, Marko; Kotila, Vesa Optimal quotients for solving large eigenvalue problems. (English) Zbl 07035939 BIT 59, No. 1, 125-154 (2019). Reviewer: Raffaella Pavani (Milano) MSC: 65F15 15A22 15A60 PDF BibTeX XML Cite \textit{M. Huhtanen} and \textit{V. Kotila}, BIT 59, No. 1, 125--154 (2019; Zbl 07035939) Full Text: DOI
Gu, Chuanqing; Jiang, Xianglong; Nie, Ying; Chen, Zhibing A preprocessed multi-step splitting iteration for computing PageRank. (English) Zbl 1427.65046 Appl. Math. Comput. 338, 87-100 (2018). MSC: 65F15 65F10 68M11 PDF BibTeX XML Cite \textit{C. Gu} et al., Appl. Math. Comput. 338, 87--100 (2018; Zbl 1427.65046) Full Text: DOI
Wen, Chun; Huang, Ting-Zhu; Gu, Xian-Ming; Shen, Zhao-Li; Zhang, Hong-Fan; Liu, Chen Multipreconditioned GMRES for simulating stochastic automata networks. (English) Zbl 1411.90077 Open Math. 16, 986-998 (2018). MSC: 90B15 65K05 65F10 PDF BibTeX XML Cite \textit{C. Wen} et al., Open Math. 16, 986--998 (2018; Zbl 1411.90077) 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 PDF BibTeX XML Cite \textit{L. Elbouyahyaoui} and \textit{M. Heyouni}, Bol. Soc. Parana. Mat. (3) 36, No. 3, 155--172 (2018; Zbl 1424.65029) Full Text: Link
Benner, Peter; Lowe, Ryan; Voigt, Matthias \(\mathcal{L}_{\infty}\)-norm computation for large-scale descriptor systems using structured iterative eigensolvers. (English) Zbl 1405.93028 Numer. Algebra Control Optim. 8, No. 1, 119-133 (2018). MSC: 93A15 93B40 15A22 93-04 93C05 93B55 93B60 93C15 PDF BibTeX XML Cite \textit{P. Benner} et al., Numer. Algebra Control Optim. 8, No. 1, 119--133 (2018; Zbl 1405.93028) Full Text: DOI
Rostami, Minghao W.; Xue, Fei Robust linear stability analysis and a new method for computing the action of the matrix exponential. (English) Zbl 1401.65019 SIAM J. Sci. Comput. 40, No. 5, A3344-A3370 (2018). MSC: 65D05 65F15 65F50 PDF BibTeX XML Cite \textit{M. W. Rostami} and \textit{F. Xue}, SIAM J. Sci. Comput. 40, No. 5, A3344--A3370 (2018; Zbl 1401.65019) Full Text: DOI
Beckermann, Bernhard; Mertens, Clara; Vandebril, Raf On an economic Arnoldi method for \(BML\)-matrices. (English) Zbl 1392.65044 SIAM J. Matrix Anal. Appl. 39, No. 2, 737-768 (2018). MSC: 65F10 65F25 PDF BibTeX XML Cite \textit{B. Beckermann} et al., SIAM J. Matrix Anal. Appl. 39, No. 2, 737--768 (2018; Zbl 1392.65044) Full Text: DOI
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
Li, Sheng-Kun; Huang, Ting-Zhu Global FOM and GMRES algorithms for a class of complex matrix equations. (English) Zbl 1392.65061 J. Comput. Appl. Math. 335, 227-241 (2018). MSC: 65F10 65F30 PDF BibTeX XML Cite \textit{S.-K. Li} and \textit{T.-Z. Huang}, J. Comput. Appl. Math. 335, 227--241 (2018; Zbl 1392.65061) Full Text: DOI
Gheorghiu, Călin-Ioan On the numerical treatment of the eigenparameter dependent boundary conditions. (English) Zbl 1381.65060 Numer. Algorithms 77, No. 1, 77-93 (2018). MSC: 65L15 34L16 65L60 PDF BibTeX XML Cite \textit{C.-I. Gheorghiu}, Numer. Algorithms 77, No. 1, 77--93 (2018; Zbl 1381.65060) Full Text: DOI
Araujo-Cabarcas, Juan Carlos; Engström, Christian; Jarlebring, Elias Efficient resonance computations for Helmholtz problems based on a Dirichlet-to-Neumann map. (English) Zbl 1376.65142 J. Comput. Appl. Math. 330, 177-192 (2018). MSC: 65N25 35P30 35J05 78A45 78M10 35N30 65N12 PDF BibTeX XML Cite \textit{J. C. Araujo-Cabarcas} et al., J. Comput. Appl. Math. 330, 177--192 (2018; Zbl 1376.65142) Full Text: DOI arXiv
Addam, M.; Heyouni, M.; Sadok, H. The block Hessenberg process for matrix equations. (English) Zbl 1392.65041 ETNA, Electron. Trans. Numer. Anal. 46, 460-473 (2017). MSC: 65F10 65F30 15A24 PDF BibTeX XML Cite \textit{M. Addam} et al., ETNA, Electron. Trans. Numer. Anal. 46, 460--473 (2017; Zbl 1392.65041) Full Text: Link
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
Liu, Ching-Sung; Lee, Che-Rung On the structured backward error of inexact Arnoldi methods for (skew)-Hermitian and (skew)-symmetric eigenvalue problems. (English) Zbl 1383.65031 BIT 57, No. 4, 1083-1108 (2017). Reviewer: Adhemar Bultheel (Leuven) MSC: 65F15 65F10 15B48 PDF BibTeX XML Cite \textit{C.-S. Liu} and \textit{C.-R. Lee}, BIT 57, No. 4, 1083--1108 (2017; Zbl 1383.65031) Full Text: DOI
Berljafa, Mario; Güttel, Stefan Parallelization of the rational Arnoldi algorithm. (English) Zbl 1376.65037 SIAM J. Sci. Comput. 39, No. 5, S197-S221 (2017). MSC: 65F10 65Y05 65F25 PDF BibTeX XML Cite \textit{M. Berljafa} and \textit{S. Güttel}, SIAM J. Sci. Comput. 39, No. 5, S197--S221 (2017; Zbl 1376.65037) Full Text: DOI
Dong, Yongxin; Gu, Chuanqing; Chen, Zhibing An Arnoldi-Inout method accelerated with a two-stage matrix splitting iteration for computing PageRank. (English) Zbl 1380.65072 Calcolo 54, No. 3, 857-879 (2017). Reviewer: Liu Xinguo (Qingdao) MSC: 65F15 65F10 68P10 65F08 PDF BibTeX XML Cite \textit{Y. Dong} et al., Calcolo 54, No. 3, 857--879 (2017; Zbl 1380.65072) Full Text: DOI
Elbouyahyaoui, L.; Heyouni, M.; Jbilou, K.; Messaoudi, A. A block Arnoldi based method for the solution of the Sylvester-observer equation. (English) Zbl 1372.65099 ETNA, Electron. Trans. Numer. Anal. 47, 18-36 (2017). MSC: 65F10 PDF BibTeX XML Cite \textit{L. Elbouyahyaoui} et al., ETNA, Electron. Trans. Numer. Anal. 47, 18--36 (2017; Zbl 1372.65099) Full Text: EMIS
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
Sidi, Avram Minimal polynomial and reduced rank extrapolation methods are related. (English) Zbl 1370.65025 Adv. Comput. Math. 43, No. 1, 151-170 (2017). Reviewer: Michael M. Pahirya (Mukachevo) MSC: 65H10 65F10 65B05 65F50 65E05 PDF BibTeX XML Cite \textit{A. Sidi}, Adv. Comput. Math. 43, No. 1, 151--170 (2017; Zbl 1370.65025) Full Text: DOI arXiv
Jarlebring, Elias; Mele, Giampaolo; Runborg, Olof The waveguide eigenvalue problem and the tensor infinite Arnoldi method. (English) Zbl 1366.65104 SIAM J. Sci. Comput. 39, No. 3, A1062-A1088 (2017). MSC: 65N25 35P30 78A50 PDF BibTeX XML Cite \textit{E. Jarlebring} et al., SIAM J. Sci. Comput. 39, No. 3, A1062--A1088 (2017; Zbl 1366.65104) Full Text: DOI arXiv
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
Abidi, O.; Heyouni, M.; Jbilou, K. On some properties of the extended block and global Arnoldi methods with applications to model reduction. (English) Zbl 1364.65077 Numer. Algorithms 75, No. 1, 285-304 (2017). Reviewer: Constantin Popa (Constanţa) MSC: 65F10 PDF BibTeX XML Cite \textit{O. Abidi} et al., Numer. Algorithms 75, No. 1, 285--304 (2017; Zbl 1364.65077) Full Text: DOI
Hached, M. A note on the Davison-Man method for Sylvester matrix equations. (English) Zbl 1360.65101 Comput. Appl. Math. 36, No. 1, 561-570 (2017). MSC: 65F10 15A06 65F05 15A24 65F50 PDF BibTeX XML Cite \textit{M. Hached}, Comput. Appl. Math. 36, No. 1, 561--570 (2017; Zbl 1360.65101) Full Text: DOI
Castellini, Jacopo Krylov iterative methods for the geometric mean of two matrices times a vector. (English) Zbl 1358.65025 Numer. Algorithms 74, No. 2, 561-571 (2017). MSC: 65F30 65F10 65F50 15A60 47A64 PDF BibTeX XML Cite \textit{J. Castellini}, Numer. Algorithms 74, No. 2, 561--571 (2017; Zbl 1358.65025) Full Text: DOI
Mohamed, Kouki; Mehdi, Abbes; Abdelkader, Mami Arnoldi model reduction for switched linear systems. (English) Zbl 1362.93027 Int. J. Oper. Res. 27, No. 1-2, 85-112 (2016). MSC: 93B11 93B25 93B36 PDF BibTeX XML Cite \textit{K. Mohamed} et al., Int. J. Oper. Res. 27, No. 1--2, 85--112 (2016; Zbl 1362.93027) 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 PDF BibTeX XML Cite \textit{A. Imakura} et al., Japan J. Ind. Appl. Math. 33, No. 3, 721--750 (2016; Zbl 1375.65058) Full Text: DOI
Gu, Chuanqing; Wang, Wenwen An Arnoldi-MSI algorithm for computing PageRank problems. (Chinese. English summary) Zbl 1374.65052 Numer. Math., Nanjing 38, No. 3, 257-268 (2016). MSC: 65F15 65F10 65F50 68P10 PDF BibTeX XML Cite \textit{C. Gu} and \textit{W. Wang}, Numer. Math., Nanjing 38, No. 3, 257--268 (2016; Zbl 1374.65052)
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
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
Xiao, Zhi-Hua; Jiang, Yao-Lin Multi-order Arnoldi-based model order reduction of second-order time-delay systems. (English) Zbl 1347.93073 Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 47, No. 12, 2925-2934 (2016). MSC: 93B11 93B40 93C15 93C05 PDF BibTeX XML Cite \textit{Z.-H. Xiao} and \textit{Y.-L. Jiang}, Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 47, No. 12, 2925--2934 (2016; Zbl 1347.93073) Full Text: DOI
Gazzola, Silvia; Reichel, Lothar A new framework for multi-parameter regularization. (English) Zbl 1353.65032 BIT 56, No. 3, 919-949 (2016). Reviewer: Constantin Popa (Constanţa) MSC: 65F22 65F10 PDF BibTeX XML Cite \textit{S. Gazzola} and \textit{L. Reichel}, BIT 56, No. 3, 919--949 (2016; Zbl 1353.65032) Full Text: DOI
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
Agullo, E.; Giraud, L.; Salas, P.; Zounon, M. Interpolation-restart strategies for resilient eigensolvers. (English) Zbl 1351.65025 SIAM J. Sci. Comput. 38, No. 5, C560-C583 (2016). MSC: 65F15 65Y05 65F50 PDF BibTeX XML Cite \textit{E. Agullo} et al., SIAM J. Sci. Comput. 38, No. 5, C560--C583 (2016; Zbl 1351.65025) Full Text: DOI
Wang, Xiaolong; Jiang, Yaolin; Kong, Xu Laguerre functions approximation for model reduction of second order time-delay systems. (English) Zbl 1347.93072 J. Franklin Inst. 353, No. 14, 3560-3577 (2016). MSC: 93B11 93C15 93B40 93C05 PDF BibTeX XML Cite \textit{X. Wang} et al., J. Franklin Inst. 353, No. 14, 3560--3577 (2016; Zbl 1347.93072) Full Text: DOI
Xiao, Zhi-Hua; Jiang, Yao-Lin Model order reduction of MIMO bilinear systems by multi-order Arnoldi method. (English) Zbl 1344.93025 Syst. Control Lett. 94, 1-10 (2016). MSC: 93B11 93C35 93B40 PDF BibTeX XML Cite \textit{Z.-H. Xiao} and \textit{Y.-L. Jiang}, Syst. Control Lett. 94, 1--10 (2016; Zbl 1344.93025) Full Text: DOI
Huang, Guangxin; Reichel, Lothar; Yin, Feng On the choice of solution subspace for nonstationary iterated Tikhonov regularization. (English) Zbl 1350.65034 Numer. Algorithms 72, No. 4, 1043-1063 (2016). Reviewer: Constantin Popa (Constanţa) MSC: 65F22 65F10 65F50 65F20 PDF BibTeX XML Cite \textit{G. Huang} et al., Numer. Algorithms 72, No. 4, 1043--1063 (2016; Zbl 1350.65034) Full Text: DOI
Schröder, Christian; Taslaman, Leo Backward error analysis of the shift-and-invert Arnoldi algorithm. (English) Zbl 1350.65035 Numer. Math. 133, No. 4, 819-843 (2016). Reviewer: Constantin Popa (Constanţa) MSC: 65F25 65F50 65G50 PDF BibTeX XML Cite \textit{C. Schröder} and \textit{L. Taslaman}, Numer. Math. 133, No. 4, 819--843 (2016; Zbl 1350.65035) Full Text: DOI
Wu, Gang; Zhang, Lu; Xu, Ting-ting A framework of the harmonic Arnoldi method for evaluating \(\varphi\)-functions with applications to exponential integrators. (English) Zbl 1338.65123 Adv. Comput. Math. 42, No. 3, 505-541 (2016). MSC: 65F60 65F15 65F10 PDF BibTeX XML Cite \textit{G. Wu} et al., Adv. Comput. Math. 42, No. 3, 505--541 (2016; Zbl 1338.65123) Full Text: DOI arXiv
Schweitzer, Marcel Any finite convergence curve is possible in the initial iterations of restarted FOM. (English) Zbl 1338.65086 ETNA, Electron. Trans. Numer. Anal. 45, 133-145 (2016). MSC: 65F10 65F50 65F60 PDF BibTeX XML Cite \textit{M. Schweitzer}, ETNA, Electron. Trans. Numer. Anal. 45, 133--145 (2016; Zbl 1338.65086) Full Text: EMIS
Koskela, Antti; Jarlebring, Elias; Hochstenbach, Michiel E. Krylov approximation of linear ODEs with polynomial parameterization. (English) Zbl 1338.65183 SIAM J. Matrix Anal. Appl. 37, No. 2, 519-538 (2016). MSC: 65L05 34A30 65L20 65L70 PDF BibTeX XML Cite \textit{A. Koskela} et al., SIAM J. Matrix Anal. Appl. 37, No. 2, 519--538 (2016; Zbl 1338.65183) Full Text: DOI
Bouhamidi, A.; Hached, M.; Jbilou, K. A preconditioned block Arnoldi method for large scale Lyapunov and algebraic Riccati equations. (English) Zbl 1339.49024 J. Glob. Optim. 65, No. 1, 19-32 (2016). MSC: 49M15 65F30 15A24 PDF BibTeX XML Cite \textit{A. Bouhamidi} et al., J. Glob. Optim. 65, No. 1, 19--32 (2016; Zbl 1339.49024) Full Text: DOI
Huang, Tsung-Ming; Lin, Wen-Wei; Mehrmann, Volker A Newton-type method with nonequivalence deflation for nonlinear eigenvalue problems arising in photonic crystal modeling. (English) Zbl 1380.65354 SIAM J. Sci. Comput. 38, No. 2, B191-B218 (2016). MSC: 65N25 65F15 78A40 15A18 PDF BibTeX XML Cite \textit{T.-M. Huang} et al., SIAM J. Sci. Comput. 38, No. 2, B191--B218 (2016; Zbl 1380.65354) Full Text: DOI
Zhou, Peng; Wang, Xiang; He, Ming; Mao, Liang-Zhi A variant of second-order Arnoldi method for solving the quadratic eigenvalue problem. (English) Zbl 1335.65042 J. Comput. Anal. Appl. 20, No. 4, 718-733 (2016). MSC: 65F15 65F50 PDF BibTeX XML Cite \textit{P. Zhou} et al., J. Comput. Anal. Appl. 20, No. 4, 718--733 (2016; Zbl 1335.65042)
Meng, Jing; Li, Hou-Biao; Jing, Yan-Fei A new deflated block GCROT(\(m,k\)) method for the solution of linear systems with multiple right-hand sides. (English) Zbl 1382.65090 J. Comput. Appl. Math. 300, 155-171 (2016). MSC: 65F10 PDF BibTeX XML Cite \textit{J. Meng} et al., J. Comput. Appl. Math. 300, 155--171 (2016; Zbl 1382.65090) Full Text: DOI
Bentbib, A.; Jbilou, K.; Sadek, E. M. On some Krylov subspace based methods for large-scale nonsymmetric algebraic Riccati problems. (English) Zbl 1443.65054 Comput. Math. Appl. 70, No. 10, 2555-2565 (2015). MSC: 65F45 15A24 PDF BibTeX XML Cite \textit{A. Bentbib} et al., Comput. Math. Appl. 70, No. 10, 2555--2565 (2015; Zbl 1443.65054) Full Text: DOI
Feng, Ting-Ting; Wu, Gang; Xu, Ting-Ting An inexact shift-and-invert Arnoldi algorithm for large non-Hermitian generalised Toeplitz eigenproblems. (English) Zbl 06796994 East Asian J. Appl. Math. 5, No. 2, 160-175 (2015). MSC: 65F15 65F10 PDF BibTeX XML Cite \textit{T.-T. Feng} et al., East Asian J. Appl. Math. 5, No. 2, 160--175 (2015; Zbl 06796994) Full Text: DOI
Zhang, Lu; Sun, Hai-Wei; Pang, Hong-Kui Fast numerical solution for fractional diffusion equations by exponential quadrature rule. (English) Zbl 1352.65304 J. Comput. Phys. 299, 130-143 (2015). MSC: 65M20 65L06 35R11 PDF BibTeX XML Cite \textit{L. Zhang} et al., J. Comput. Phys. 299, 130--143 (2015; Zbl 1352.65304) Full Text: DOI
Ahsan, Zaid; Sadath, Anwar; Uchida, Thomas K.; Vyasarayani, C. P. Galerkin-Arnoldi algorithm for stability analysis of time-periodic delay differential equations. (English) Zbl 1437.65056 Nonlinear Dyn. 82, No. 4, 1893-1904 (2015). MSC: 65L03 34D20 34K06 PDF BibTeX XML Cite \textit{Z. Ahsan} et al., Nonlinear Dyn. 82, No. 4, 1893--1904 (2015; Zbl 1437.65056) Full Text: DOI
Khazaee, Adib; Lotfi, Vahid A new technique for determining coupled modes of structure-acoustic systems. (English) Zbl 1341.74150 Arch. Appl. Mech. 85, No. 7, 955-967 (2015). MSC: 74S05 PDF BibTeX XML Cite \textit{A. Khazaee} and \textit{V. Lotfi}, Arch. Appl. Mech. 85, No. 7, 955--967 (2015; Zbl 1341.74150) Full Text: DOI
Meerbergen, Karl; Plestenjak, Bor A Sylvester-Arnoldi type method for the generalized eigenvalue problem with two-by-two operator determinants. (English) Zbl 1349.65122 Numer. Linear Algebra Appl. 22, No. 6, 1131-1146 (2015). Reviewer: Edgar Pereira (Natal) MSC: 65F10 15A18 15A24 65F15 PDF BibTeX XML Cite \textit{K. Meerbergen} and \textit{B. Plestenjak}, Numer. Linear Algebra Appl. 22, No. 6, 1131--1146 (2015; Zbl 1349.65122) Full Text: DOI
Donatelli, Marco; Martin, David; Reichel, Lothar Arnoldi methods for image deblurring with anti-reflective boundary conditions. (English) Zbl 1338.94006 Appl. Math. Comput. 253, 135-150 (2015). MSC: 94A08 PDF BibTeX XML Cite \textit{M. Donatelli} et al., Appl. Math. Comput. 253, 135--150 (2015; Zbl 1338.94006) Full Text: DOI
Reichel, Lothar; Yu, Xuebo Tikhonov regularization via flexible Arnoldi reduction. (English) Zbl 1332.65058 BIT 55, No. 4, 1145-1168 (2015). MSC: 65F22 65F10 PDF BibTeX XML Cite \textit{L. Reichel} and \textit{X. Yu}, BIT 55, No. 4, 1145--1168 (2015; Zbl 1332.65058) Full Text: DOI
Beik, Fatemeh Panjeh Ali; Salkuyeh, Davod Khojasteh Weighted versions of Gl-FOM and Gl-GMRES for solving general coupled linear matrix equations. (English) Zbl 1341.65018 Comput. Math. Math. Phys. 55, No. 10, 1606-1618 (2015). Reviewer: Radek Kucera (Ostrava) MSC: 65F30 65F10 65F50 15A24 PDF BibTeX XML Cite \textit{F. P. A. Beik} and \textit{D. K. Salkuyeh}, Comput. Math. Math. Phys. 55, No. 10, 1606--1618 (2015; Zbl 1341.65018) Full Text: DOI
Li, Dongping; Zhang, Xiuying Efficient algorithms for solving shifted skew-symmetric matrix equations. (English) Zbl 1340.15006 Numer. Math., Nanjing 37, No. 1, 81-96 (2015). MSC: 15A06 65F10 PDF BibTeX XML Cite \textit{D. Li} and \textit{X. Zhang}, Numer. Math., Nanjing 37, No. 1, 81--96 (2015; Zbl 1340.15006)
Zhang, Lei-Hong; Yang, Wei Hong; Shen, Chungen; Li, Ren-Cang A Krylov subspace method for large-scale second-order cone linear complementarity problem. (English) Zbl 1326.90090 SIAM J. Sci. Comput. 37, No. 4, A2046-A2075 (2015). MSC: 90C33 65K05 65F99 65F15 65F30 65P99 PDF BibTeX XML Cite \textit{L.-H. Zhang} et al., SIAM J. Sci. Comput. 37, No. 4, A2046--A2075 (2015; Zbl 1326.90090) Full Text: DOI
Gazzola, Silvia; Novati, Paolo; Russo, Maria Rosaria On Krylov projection methods and Tikhonov regularization. (English) Zbl 1312.65065 ETNA, Electron. Trans. Numer. Anal. 44, 83-123 (2015). MSC: 65F22 65F10 PDF BibTeX XML Cite \textit{S. Gazzola} et al., ETNA, Electron. Trans. Numer. Anal. 44, 83--123 (2015; Zbl 1312.65065) Full Text: EMIS
Meurant, Gérard On the location of the Ritz values in the Arnoldi process. (English) Zbl 1312.65056 ETNA, Electron. Trans. Numer. Anal. 43(2014-2015), 188-212 (2015). MSC: 65F15 65F50 PDF BibTeX XML Cite \textit{G. Meurant}, ETNA, Electron. Trans. Numer. Anal. 43, 188--212 (2015; Zbl 1312.65056) Full Text: EMIS
Jia, Zhongxiao; Li, Cen Harmonic and refined harmonic shift-invert residual Arnoldi and Jacobi-Davidson methods for interior eigenvalue problems. (English) Zbl 1309.65041 J. Comput. Appl. Math. 282, 83-97 (2015). MSC: 65F15 PDF BibTeX XML Cite \textit{Z. Jia} and \textit{C. Li}, J. Comput. Appl. Math. 282, 83--97 (2015; Zbl 1309.65041) Full Text: DOI arXiv
Farooq, Muhammad; Salhi, Abdellah A new Lanczos-type algorithm for systems of linear equations. (English) Zbl 1448.65023 J. Prime Res. Math. 10, 104-119 (2014). MSC: 65F10 PDF BibTeX XML Cite \textit{M. Farooq} and \textit{A. Salhi}, J. Prime Res. Math. 10, 104--119 (2014; Zbl 1448.65023) Full Text: Link
Liu, Juan; Wang, Xiang; Sun, Chongchong A modified Arnoldi-type method for computing GeneRank problem. (Chinese. English summary) Zbl 1340.92034 J. Nanchang Univ., Nat. Sci. 38, No. 6, 530-536 (2014). MSC: 92D10 65F10 PDF BibTeX XML Cite \textit{J. Liu} et al., J. Nanchang Univ., Nat. Sci. 38, No. 6, 530--536 (2014; Zbl 1340.92034)
Gazzola, Silvia; Novati, Paolo; Russo, Maria Rosaria Embedded techniques for choosing the parameter in Tikhonov regularization. (English) Zbl 1340.65068 Numer. Linear Algebra Appl. 21, No. 6, 796-812 (2014). Reviewer: Constantin Popa (Constanţa) MSC: 65F22 65F10 PDF BibTeX XML Cite \textit{S. Gazzola} et al., Numer. Linear Algebra Appl. 21, No. 6, 796--812 (2014; Zbl 1340.65068) Full Text: DOI arXiv
Szularz, Marek Imposing symmetry in augmented linear systems. (English) Zbl 1340.65066 Numer. Linear Algebra Appl. 21, No. 6, 781-795 (2014). Reviewer: Jurjen Duintjer Tebbens (Praha) MSC: 65F20 65F10 PDF BibTeX XML Cite \textit{M. Szularz}, Numer. Linear Algebra Appl. 21, No. 6, 781--795 (2014; Zbl 1340.65066) Full Text: DOI
Benner, Peter; El Khoury, Grece; Sadkane, Miloud On the squared Smith method for large-scale Stein equations. (English) Zbl 1340.65073 Numer. Linear Algebra Appl. 21, No. 5, 645-665 (2014). Reviewer: Edgar Pereira (Natal) MSC: 65F30 15A24 65F10 PDF BibTeX XML Cite \textit{P. Benner} et al., Numer. Linear Algebra Appl. 21, No. 5, 645--665 (2014; Zbl 1340.65073) Full Text: DOI
Kressner, Daniel; Roman, Jose E. Memory-efficient Arnoldi algorithms for linearizations of matrix polynomials in Chebyshev basis. (English) Zbl 1340.65059 Numer. Linear Algebra Appl. 21, No. 4, 569-588 (2014). Reviewer: Karl Meerbergen (Leuven) MSC: 65F15 15A18 15A22 65H17 PDF BibTeX XML Cite \textit{D. Kressner} and \textit{J. E. Roman}, Numer. Linear Algebra Appl. 21, No. 4, 569--588 (2014; Zbl 1340.65059) Full Text: DOI
Cao, Yang; Dai, Hua The quadratic approximation methods for solving nonlinear eigenvalue problems. (Chinese. English summary) Zbl 1324.65085 Math. Numer. Sin. 36, No. 4, 381-392 (2014). MSC: 65H17 PDF BibTeX XML Cite \textit{Y. Cao} and \textit{H. Dai}, Math. Numer. Sin. 36, No. 4, 381--392 (2014; Zbl 1324.65085)
Guan, Pengyan; Li, Chunguang; Jing, Hefang A weighted GMRES method based on a polynomial preconditioning generalized minimal residual method. (Chinese. English summary) Zbl 1324.65049 Chin. J. Eng. Math. 31, No. 5, 697-706 (2014). MSC: 65F10 65F50 65F08 PDF BibTeX XML Cite \textit{P. Guan} et al., Chin. J. Eng. Math. 31, No. 5, 697--706 (2014; Zbl 1324.65049) Full Text: DOI
Meng, Jing; Zhu, Pei-Yong; Li, Hou-Biao; Gu, Xian-Ming A deflated block flexible GMRES-DR method for linear systems with multiple right-hand sides. (English) Zbl 1312.65048 ETNA, Electron. Trans. Numer. Anal. 41, 478-496 (2014). MSC: 65F10 PDF BibTeX XML Cite \textit{J. Meng} et al., ETNA, Electron. Trans. Numer. Anal. 41, 478--496 (2014; Zbl 1312.65048) Full Text: EMIS
Frommer, Andreas; Güttel, Stefan; Schweitzer, Marcel Convergence of restarted Krylov subspace methods for Stieltjes functions of matrices. (English) Zbl 1316.65040 SIAM J. Matrix Anal. Appl. 35, No. 4, 1602-1624 (2014). Reviewer: Michael M. Pahirya (Mukachevo) MSC: 65F10 65F50 65F30 65F60 PDF BibTeX XML Cite \textit{A. Frommer} et al., SIAM J. Matrix Anal. Appl. 35, No. 4, 1602--1624 (2014; Zbl 1316.65040) Full Text: DOI
Güttel, Stefan; Pestana, Jennifer Some observations on weighted GMRES. (English) Zbl 1304.65127 Numer. Algorithms 67, No. 4, 733-752 (2014). MSC: 65F10 65F08 65Y20 PDF BibTeX XML Cite \textit{S. Güttel} and \textit{J. Pestana}, Numer. Algorithms 67, No. 4, 733--752 (2014; Zbl 1304.65127) Full Text: DOI
Jia, Zhongxiao; Li, Cen Inner iterations in the shift-invert residual Arnoldi method and the Jacobi-Davidson method. (English) Zbl 1312.65054 Sci. China, Math. 57, No. 8, 1733-1752 (2014). Reviewer: Michael Jung (Dresden) MSC: 65F15 65F10 PDF BibTeX XML Cite \textit{Z. Jia} and \textit{C. Li}, Sci. China, Math. 57, No. 8, 1733--1752 (2014; Zbl 1312.65054) Full Text: DOI arXiv
Frommer, Andreas; Güttel, Stefan; Schweitzer, Marcel Efficient and stable Arnoldi restarts for matrix functions based on quadrature. (English) Zbl 1309.65050 SIAM J. Matrix Anal. Appl. 35, No. 2, 661-683 (2014). Reviewer: Liu Xinguo (Qingdao) MSC: 65F60 65F10 PDF BibTeX XML Cite \textit{A. Frommer} et al., SIAM J. Matrix Anal. Appl. 35, No. 2, 661--683 (2014; Zbl 1309.65050) Full Text: DOI
Novati, Paolo; Russo, Maria Rosaria Adaptive Arnoldi-Tikhonov regularization for image restoration. (English) Zbl 1298.65071 Numer. Algorithms 65, No. 4, 745-757 (2014). MSC: 65F22 65D18 94A08 PDF BibTeX XML Cite \textit{P. Novati} and \textit{M. R. Russo}, Numer. Algorithms 65, No. 4, 745--757 (2014; Zbl 1298.65071) Full Text: DOI
Novati, Paolo; Russo, Maria Rosaria A GCV based Arnoldi-Tikhonov regularization method. (English) Zbl 1317.65104 BIT 54, No. 2, 501-521 (2014). Reviewer: Martin Plešinger (Liberec) MSC: 65F22 65F10 PDF BibTeX XML Cite \textit{P. Novati} and \textit{M. R. Russo}, BIT 54, No. 2, 501--521 (2014; Zbl 1317.65104) Full Text: DOI arXiv
Jarlebring, Elias; Güttel, Stefan A spatially adaptive iterative method for a class of nonlinear operator eigenproblems. (English) Zbl 1295.65109 ETNA, Electron. Trans. Numer. Anal. 41, 21-41 (2014). MSC: 65N25 35P15 35P30 PDF BibTeX XML Cite \textit{E. Jarlebring} and \textit{S. Güttel}, ETNA, Electron. Trans. Numer. Anal. 41, 21--41 (2014; Zbl 1295.65109) Full Text: EMIS
Mach, Thomas; Van Barel, Marc; Vandebril, Raf Inverse eigenvalue problems for extended Hessenberg and extended tridiagonal matrices. (English) Zbl 1294.65041 J. Comput. Appl. Math. 272, 377-398 (2014). MSC: 65F18 65F25 65F50 PDF BibTeX XML Cite \textit{T. Mach} et al., J. Comput. Appl. Math. 272, 377--398 (2014; Zbl 1294.65041) Full Text: DOI