Xu, Shengjie; Xue, Fei Inexact rational Krylov Subspace methods for approximating the action of functions of matrices. (English) Zbl 07799503 ETNA, Electron. Trans. Numer. Anal. 58, 538-567 (2023). MSC: 65D15 65F10 65F50 65F60 PDFBibTeX XMLCite \textit{S. Xu} and \textit{F. Xue}, ETNA, Electron. Trans. Numer. Anal. 58, 538--567 (2023; Zbl 07799503) Full Text: DOI Link
Thummar, M.; Bhoraniya, R.; Narayanan, V. Modal and non-modal stability of the heated flat-plate boundary layer with temperature-dependent viscosity. (English) Zbl 07711180 Fluid Dyn. 58, No. 3, 450-475 (2023). MSC: 76E05 76D10 76M12 PDFBibTeX XMLCite \textit{M. Thummar} et al., Fluid Dyn. 58, No. 3, 450--475 (2023; Zbl 07711180) Full Text: DOI
Appeltans, Pieter; Michiels, Wim A structure preserving shift-invert infinite Arnoldi algorithm for a class of delay eigenvalue problems with Hamiltonian symmetry. (English) Zbl 1516.65036 SIAM J. Matrix Anal. Appl. 44, No. 1, 331-358 (2023). MSC: 65H17 34K06 PDFBibTeX XMLCite \textit{P. Appeltans} and \textit{W. Michiels}, SIAM J. Matrix Anal. Appl. 44, No. 1, 331--358 (2023; Zbl 1516.65036) Full Text: DOI arXiv
Wen, Chun; Hu, Qian-Ying; Shen, Zhao-Li An adaptively preconditioned multi-step matrix splitting iteration for computing PageRank. (English) Zbl 1506.65062 Numer. Algorithms 92, No. 2, 1213-1231 (2023). MSC: 65F15 65F10 PDFBibTeX XMLCite \textit{C. Wen} et al., Numer. Algorithms 92, No. 2, 1213--1231 (2023; Zbl 1506.65062) Full Text: DOI
Gratton, Serge; Simon, Ehouarn; Titley-Peloquin, David; Toint, Philippe L. A note on inexact inner products in GMRES. (English) Zbl 1508.65026 SIAM J. Matrix Anal. Appl. 43, No. 3, 1406-1422 (2022). MSC: 65F10 65F25 PDFBibTeX XMLCite \textit{S. Gratton} et al., SIAM J. Matrix Anal. Appl. 43, No. 3, 1406--1422 (2022; Zbl 1508.65026) Full Text: DOI
Pollock, Sara; Scott, L. Ridgway Extrapolating the Arnoldi algorithm to improve eigenvector convergence. (English) Zbl 1499.65003 Int. J. Numer. Anal. Model. 18, No. 5, 712-721 (2021). MSC: 65B05 65F15 PDFBibTeX XMLCite \textit{S. Pollock} and \textit{L. R. Scott}, Int. J. Numer. Anal. Model. 18, No. 5, 712--721 (2021; Zbl 1499.65003) Full Text: arXiv Link
Chen, Jing; Huang, Biao; Gan, Min; Chen, C. L. Philip A novel reduced-order algorithm for rational models based on Arnoldi process and Krylov subspace. (English) Zbl 1478.93081 Automatica 129, Article ID 109663, 11 p. (2021). MSC: 93B11 93-08 PDFBibTeX XMLCite \textit{J. Chen} et al., Automatica 129, Article ID 109663, 11 p. (2021; Zbl 1478.93081) Full Text: DOI
Chen, Jing; Rong, Yingjiao; Zhu, Quanmin; Chandra, Budi; Zhong, Hongxiu A generalized minimal residual based iterative back propagation algorithm for polynomial nonlinear models. (English) Zbl 1478.93263 Syst. Control Lett. 153, Article ID 104966, 8 p. (2021). MSC: 93C10 93B30 PDFBibTeX XMLCite \textit{J. Chen} et al., Syst. Control Lett. 153, Article ID 104966, 8 p. (2021; Zbl 1478.93263) Full Text: DOI
Hu, Qian-Ying; Wen, Chun; Huang, Ting-Zhu; Shen, Zhao-Li; Gu, Xian-Ming A variant of the Power-Arnoldi algorithm for computing PageRank. (English) Zbl 1452.65068 J. Comput. Appl. Math. 381, Article ID 113034, 11 p. (2021). MSC: 65F15 PDFBibTeX XMLCite \textit{Q.-Y. Hu} et al., J. Comput. Appl. Math. 381, Article ID 113034, 11 p. (2021; Zbl 1452.65068) Full Text: DOI
Gu, Chuanqing; Fu, Youhua; Wang, Jinbo Arnoldi-RPIO algorithm for computing PageRank problems. (Chinese. English summary) Zbl 1449.65075 J. Shanghai Univ., Nat. Sci. 25, No. 4, 484-492 (2019). MSC: 65F15 PDFBibTeX XMLCite \textit{C. Gu} et al., J. Shanghai Univ., Nat. Sci. 25, No. 4, 484--492 (2019; Zbl 1449.65075) Full Text: DOI
Pozza, Stefano; Simoncini, Valeria Inexact Arnoldi residual estimates and decay properties for functions of non-Hermitian matrices. (English) Zbl 1434.65058 BIT 59, No. 4, 969-986 (2019). MSC: 65F60 PDFBibTeX XMLCite \textit{S. Pozza} and \textit{V. Simoncini}, BIT 59, No. 4, 969--986 (2019; Zbl 1434.65058) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{C. Gu}, Appl. Math. Comput. 349, 1--13 (2019; Zbl 1428.92007) 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 PDFBibTeX XMLCite \textit{T. Shardlow}, Math. Comput. 88, No. 320, 2767--2792 (2019; Zbl 1416.65034) Full Text: DOI arXiv
Raszkowski, Tomasz; Samson, Agnieszka; Zubert, Mariusz Comparison of two-dimensional dual-phase-lag and Fourier-Kirchhoff model order reduction using Krylov subspace method. (English) Zbl 07791939 Bull. Soc. Sci. Lett. Łódź, Sér. Rech. Déform. 68, No. 1, 69-83 (2018). MSC: 80A19 65F10 PDFBibTeX XMLCite \textit{T. Raszkowski} et al., Bull. Soc. Sci. Lett. Łódź, Sér. Rech. Déform. 68, No. 1, 69--83 (2018; Zbl 07791939) 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 PDFBibTeX XMLCite \textit{C. Gu} et al., Appl. Math. Comput. 338, 87--100 (2018; Zbl 1427.65046) Full Text: DOI
Faßbender, Heike; Mayer, Julius A revised moment error expression for the AIRGA algorithm. (English) Zbl 1463.70014 An. Științ. Univ. “Ovidius” Constanța, Ser. Mat. 26, No. 2, 87-104 (2018). MSC: 70J50 65F99 PDFBibTeX XMLCite \textit{H. Faßbender} and \textit{J. Mayer}, An. Științ. Univ. ``Ovidius'' Constanța, Ser. Mat. 26, No. 2, 87--104 (2018; Zbl 1463.70014) Full Text: DOI
Meerbergen, Karl; Pérez, Javier Mixed forward-backward stability of the two-level orthogonal Arnoldi method for quadratic problems. (English) Zbl 1391.65087 Linear Algebra Appl. 553, 1-15 (2018). MSC: 65F15 65F30 PDFBibTeX XMLCite \textit{K. Meerbergen} and \textit{J. Pérez}, Linear Algebra Appl. 553, 1--15 (2018; Zbl 1391.65087) Full Text: DOI arXiv Link
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 PDFBibTeX XMLCite \textit{P. Novati}, Numer. Funct. Anal. Optim. 39, No. 6, 655--666 (2018; Zbl 1392.65068) Full Text: DOI
Gu, Chuanqing; Nie, Ying; Wang, Jinbo Arnoldi-PIO algorithm for PageRank. (Chinese. English summary) Zbl 1413.65097 J. Shanghai Univ., Nat. Sci. 23, No. 4, 555-562 (2017). MSC: 65F15 68P10 68M11 PDFBibTeX XMLCite \textit{C. Gu} et al., J. Shanghai Univ., Nat. Sci. 23, No. 4, 555--562 (2017; Zbl 1413.65097) Full Text: DOI
Song, Qiu-Yan; Jiang, Yao-Lin; Xiao, Zhi-Hua Arnoldi-based model order reduction for linear systems with inhomogeneous initial conditions. (English) Zbl 1380.93071 J. Franklin Inst. 354, No. 18, 8570-8585 (2017). MSC: 93B11 93C05 PDFBibTeX XMLCite \textit{Q.-Y. Song} et al., J. Franklin Inst. 354, No. 18, 8570--8585 (2017; Zbl 1380.93071) Full Text: DOI
Wang, Zhengsheng; Zuo, Qian; Zhang, Min; Mu, Liming; Xu, Guili An iterated shift-and-invert Arnoldi algorithm for cubic eigenvalue problems. (English) Zbl 1413.65107 Commun. Appl. Math. Comput. 31, No. 2, 213-223 (2017). MSC: 65F15 PDFBibTeX XMLCite \textit{Z. Wang} et al., Commun. Appl. Math. Comput. 31, No. 2, 213--223 (2017; Zbl 1413.65107)
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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{Y. Dong} et al., Calcolo 54, No. 3, 857--879 (2017; Zbl 1380.65072) Full Text: DOI
Soll, Tino; Pulch, Roland Sample selection based on sensitivity analysis in parameterized model order reduction. (English) Zbl 1375.65090 J. Comput. Appl. Math. 316, 369-379 (2017). MSC: 65K10 93C05 93C15 93B35 93B51 PDFBibTeX XMLCite \textit{T. Soll} and \textit{R. Pulch}, J. Comput. Appl. Math. 316, 369--379 (2017; Zbl 1375.65090) Full Text: DOI
Astudillo, R.; van Gijzen, M. B. Induced dimension reduction method to solve the quadratic eigenvalue problem. (English) Zbl 1368.65055 Dimov, Ivan (ed.) et al., Numerical analysis and its applications. 6th international conference, NAA 2016, Lozenetz, Bulgaria, June 15–22, 2016. Revised selected papers. Cham: Springer (ISBN 978-3-319-57098-3/pbk; 978-3-319-57099-0/ebook). Lecture Notes in Computer Science 10187, 203-211 (2017). MSC: 65F15 PDFBibTeX XMLCite \textit{R. Astudillo} and \textit{M. B. van Gijzen}, Lect. Notes Comput. Sci. 10187, 203--211 (2017; Zbl 1368.65055) Full Text: DOI
Novati, Paolo Some properties of the Arnoldi-based methods for linear ill-posed problems. (English) Zbl 1367.65084 SIAM J. Numer. Anal. 55, No. 3, 1437-1455 (2017). MSC: 65J20 65J10 47A52 47B07 PDFBibTeX XMLCite \textit{P. Novati}, SIAM J. Numer. Anal. 55, No. 3, 1437--1455 (2017; Zbl 1367.65084) Full Text: DOI
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 PDFBibTeX XMLCite \textit{E. Jarlebring} et al., SIAM J. Sci. Comput. 39, No. 3, A1062--A1088 (2017; Zbl 1366.65104) Full Text: DOI arXiv
Tan, Xueyuan A new extrapolation method for PageRank computations. (English) Zbl 1353.65028 J. Comput. Appl. Math. 313, 383-392 (2017). MSC: 65F15 68P10 PDFBibTeX XMLCite \textit{X. Tan}, J. Comput. Appl. Math. 313, 383--392 (2017; Zbl 1353.65028) Full Text: DOI
Gu, Chuanqing; Wang, Wenwen An Arnoldi-Inout algorithm for computing PageRank problems. (English) Zbl 1468.65033 J. Comput. Appl. Math. 309, 219-229 (2017). MSC: 65F15 PDFBibTeX XMLCite \textit{C. Gu} and \textit{W. Wang}, J. Comput. Appl. Math. 309, 219--229 (2017; Zbl 1468.65033) Full Text: DOI
Bonin, Thomas; Faßbender, Heike; Soppa, Andreas; Zaeh, Michael A fully adaptive rational global Arnoldi method for the model-order reduction of second-order MIMO systems with proportional damping. (English) Zbl 07313622 Math. Comput. Simul. 122, 1-19 (2016). MSC: 93Bxx 65-XX 93Cxx 93Axx PDFBibTeX XMLCite \textit{T. Bonin} et al., Math. Comput. Simul. 122, 1--19 (2016; Zbl 07313622) 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 PDFBibTeX XMLCite \textit{C. Gu} and \textit{W. Wang}, Numer. Math., Nanjing 38, No. 3, 257--268 (2016; Zbl 1374.65052)
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 PDFBibTeX XMLCite \textit{S. Gazzola} and \textit{P. Novati}, BIT 56, No. 3, 893--918 (2016; Zbl 1353.65023) 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 PDFBibTeX XMLCite \textit{C. Schröder} and \textit{L. Taslaman}, Numer. Math. 133, No. 4, 819--843 (2016; Zbl 1350.65035) Full Text: DOI
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 PDFBibTeX XMLCite \textit{A. Koskela} et al., SIAM J. Matrix Anal. Appl. 37, No. 2, 519--538 (2016; Zbl 1338.65183) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{Z. Ahsan} et al., Nonlinear Dyn. 82, No. 4, 1893--1904 (2015; Zbl 1437.65056) 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 PDFBibTeX XMLCite \textit{K. Meerbergen} and \textit{B. Plestenjak}, Numer. Linear Algebra Appl. 22, No. 6, 1131--1146 (2015; Zbl 1349.65122) Full Text: DOI Link
Salas, Pablo; Giraud, Luc; Saad, Yousef; Moreau, Stéphane Spectral recycling strategies for the solution of nonlinear eigenproblems in thermoacoustics. (English) Zbl 1374.65090 Numer. Linear Algebra Appl. 22, No. 6, 1039-1058 (2015). MSC: 65H17 76Q05 80A25 PDFBibTeX XMLCite \textit{P. Salas} et al., Numer. Linear Algebra Appl. 22, No. 6, 1039--1058 (2015; Zbl 1374.65090) Full Text: DOI Link
Wu, Gang; Feng, Ting-ting; Wei, Yimin An inexact shift-and-invert Arnoldi algorithm for Toeplitz matrix exponential. (English) Zbl 1363.65087 Numer. Linear Algebra Appl. 22, No. 4, 777-792 (2015). MSC: 65F60 15B05 65F35 PDFBibTeX XMLCite \textit{G. Wu} et al., Numer. Linear Algebra Appl. 22, No. 4, 777--792 (2015; Zbl 1363.65087) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{D. Li} and \textit{X. Zhang}, Numer. Math., Nanjing 37, No. 1, 81--96 (2015; Zbl 1340.15006)
Bujanović, Zvonimir; Drmač, Zlatko A new framework for implicit restarting of the Krylov-Schur algorithm. (English) Zbl 1363.65059 Numer. Linear Algebra Appl. 22, No. 2, 220-232 (2015). Reviewer: Raffaella Pavani (Milano) MSC: 65F15 PDFBibTeX XMLCite \textit{Z. Bujanović} and \textit{Z. Drmač}, Numer. Linear Algebra Appl. 22, No. 2, 220--232 (2015; Zbl 1363.65059) Full Text: DOI
Jiang, Yao-Lin; Xiao, Zhi-Hua Arnoldi-based model reduction for fractional order linear systems. (English) Zbl 1312.93025 Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 46, No. 8, 1411-1420 (2015). MSC: 93B11 34A08 93C05 PDFBibTeX XMLCite \textit{Y.-L. Jiang} and \textit{Z.-H. Xiao}, Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 46, No. 8, 1411--1420 (2015; Zbl 1312.93025) 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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{M. Farooq} and \textit{A. Salhi}, J. Prime Res. Math. 10, 104--119 (2014; Zbl 1448.65023) Full Text: Link
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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{M. Szularz}, Numer. Linear Algebra Appl. 21, No. 6, 781--795 (2014; Zbl 1340.65066) 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 PDFBibTeX XMLCite \textit{D. Kressner} and \textit{J. E. Roman}, Numer. Linear Algebra Appl. 21, No. 4, 569--588 (2014; Zbl 1340.65059) Full Text: DOI Link
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 PDFBibTeX XMLCite \textit{P. Guan} et al., Chin. J. Eng. Math. 31, No. 5, 697--706 (2014; Zbl 1324.65049) Full Text: DOI
Gazzola, Silvia; Novati, Paolo Automatic parameter setting for Arnoldi-Tikhonov methods. (English) Zbl 1314.65061 J. Comput. Appl. Math. 256, 180-195 (2014). MSC: 65F22 94A08 PDFBibTeX XMLCite \textit{S. Gazzola} and \textit{P. Novati}, J. Comput. Appl. Math. 256, 180--195 (2014; Zbl 1314.65061) 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 PDFBibTeX XMLCite \textit{J. Meng} et al., ETNA, Electron. Trans. Numer. Anal. 41, 478--496 (2014; Zbl 1312.65048) Full Text: EMIS
Li, Ren-Cang; Ye, Qiang Simultaneous similarity reductions for a pair of matrices to condensed forms. (English) Zbl 1312.65071 Commun. Math. Stat. 2, No. 2, 139-153 (2014). Reviewer: Constantin Popa (Constanţa) MSC: 65F30 15A21 PDFBibTeX XMLCite \textit{R.-C. Li} and \textit{Q. Ye}, Commun. Math. Stat. 2, No. 2, 139--153 (2014; Zbl 1312.65071) 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 PDFBibTeX XMLCite \textit{S. Güttel} and \textit{J. Pestana}, Numer. Algorithms 67, No. 4, 733--752 (2014; Zbl 1304.65127) Full Text: DOI Link
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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{P. Novati} and \textit{M. R. Russo}, BIT 54, No. 2, 501--521 (2014; Zbl 1317.65104) Full Text: DOI arXiv
Gazzola, Silvia; Nagy, James G. Generalized Arnoldi-Tikhonov method for sparse reconstruction. (English) Zbl 1296.65061 SIAM J. Sci. Comput. 36, No. 2, 225-247 (2014). MSC: 65F22 65F20 PDFBibTeX XMLCite \textit{S. Gazzola} and \textit{J. G. Nagy}, SIAM J. Sci. Comput. 36, No. 2, 225--247 (2014; Zbl 1296.65061) Full Text: DOI
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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{T. Mach} et al., J. Comput. Appl. Math. 272, 377--398 (2014; Zbl 1294.65041) Full Text: DOI
Gleich, David F.; Greif, Chen; Varah, James M. The power and Arnoldi methods in an algebra of circulants. (English) Zbl 1313.65079 Numer. Linear Algebra Appl. 20, No. 5, 809-831 (2013). Reviewer: Misha E. Kilmer (Medford) MSC: 65F15 15A69 15A18 15B05 65F10 35J05 65N06 PDFBibTeX XMLCite \textit{D. F. Gleich} et al., Numer. Linear Algebra Appl. 20, No. 5, 809--831 (2013; Zbl 1313.65079) Full Text: DOI arXiv
Gazzola, Silvia; Novati, Paolo Multi-parameter Arnoldi-Tikhonov methods. (English) Zbl 1288.65084 ETNA, Electron. Trans. Numer. Anal. 40, 452-475 (2013). MSC: 65J20 65J10 47A52 PDFBibTeX XMLCite \textit{S. Gazzola} and \textit{P. Novati}, ETNA, Electron. Trans. Numer. Anal. 40, 452--475 (2013; Zbl 1288.65084) Full Text: EMIS
Saibaba, Arvind K.; Bakhos, Tania; Kitanidis, Peter K. A flexible Krylov solver for shifted systems with application to oscillatory hydraulic tomography. (English) Zbl 1288.65041 SIAM J. Sci. Comput. 35, No. 6, A3001-A3023 (2013). Reviewer: Adhemar Bultheel (Leuven) MSC: 65F10 86-08 65F08 65F15 86A05 86A22 PDFBibTeX XMLCite \textit{A. K. Saibaba} et al., SIAM J. Sci. Comput. 35, No. 6, A3001--A3023 (2013; Zbl 1288.65041) Full Text: DOI arXiv
Bouhamidi, Abderrahman; Hached, M.; Heyouni, M.; Jbilou, Khalide A preconditioned block Arnoldi method for large Sylvester matrix equations. (English) Zbl 1289.65099 Numer. Linear Algebra Appl. 20, No. 2, 208-219 (2013). Reviewer: Ninoslav Truhar (Osijek) MSC: 65F30 65F08 65F10 15A24 PDFBibTeX XMLCite \textit{A. Bouhamidi} et al., Numer. Linear Algebra Appl. 20, No. 2, 208--219 (2013; Zbl 1289.65099) Full Text: DOI
Stewart, Michael A generalized unitary Hessenberg matrix. (English) Zbl 1283.65034 Linear Algebra Appl. 439, No. 12, 3807-3821 (2013). MSC: 65F25 15B05 PDFBibTeX XMLCite \textit{M. Stewart}, Linear Algebra Appl. 439, No. 12, 3807--3821 (2013; Zbl 1283.65034) Full Text: DOI
Zhang, Yujie; Su, Yangfeng A memory-efficient model order reduction for time-delay systems. (English) Zbl 1305.65166 BIT 53, No. 4, 1047-1073 (2013). Reviewer: Roland Pulch (Greifswald) MSC: 65L03 65F25 34K06 34K28 65L20 65M20 35R10 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{Y. Su}, BIT 53, No. 4, 1047--1073 (2013; Zbl 1305.65166) Full Text: DOI
Bujanović, Zvonimir On the permissible arrangements of Ritz values for normal matrices in the complex plane. (English) Zbl 1281.15007 Linear Algebra Appl. 438, No. 12, 4606-4624 (2013). MSC: 15A18 15A29 15A42 65F15 65F18 PDFBibTeX XMLCite \textit{Z. Bujanović}, Linear Algebra Appl. 438, No. 12, 4606--4624 (2013; Zbl 1281.15007) Full Text: DOI
Mezić, Igor Analysis of fluid flows via spectral properties of the koopman operator. (English) Zbl 1359.76271 Davis, Stephen H. (ed.) et al., Annual review of fluid mechanics. Vol. 45. Palo Alto, CA: Annual Reviews (ISBN 978-0-8243-0745-5/hbk). Annual Review of Fluid Mechanics 45, 357-378 (2013). MSC: 76R99 37N10 76-02 PDFBibTeX XMLCite \textit{I. Mezić}, Annu. Rev. Fluid Mech. 45, 357--378 (2013; Zbl 1359.76271) Full Text: DOI Link
Liesen, Jörg; Strakoš, Zdeněk Krylov subspace methods. Principles and analysis. (English) Zbl 1263.65034 Numerical Mathematics and Scientific Computation. Oxford: Oxford University Press (ISBN 978-0-19-965541-0/hbk). xv, 391 p. (2013). Reviewer: Ludwig Elsner (Bielefeld) MSC: 65F10 65-02 PDFBibTeX XMLCite \textit{J. Liesen} and \textit{Z. Strakoš}, Krylov subspace methods. Principles and analysis. Oxford: Oxford University Press (2013; Zbl 1263.65034)
Gheorghiu, C. I.; Hochstenbach, M. E.; Plestenjak, B.; Rommes, J. Spectral collocation solutions to multiparameter Mathieu’s system. (English) Zbl 1280.65078 Appl. Math. Comput. 218, No. 24, 11990-12000 (2012). MSC: 65L15 34L16 34B30 65L60 65L20 PDFBibTeX XMLCite \textit{C. I. Gheorghiu} et al., Appl. Math. Comput. 218, No. 24, 11990--12000 (2012; Zbl 1280.65078) Full Text: DOI Link
Yeung, Man-Chung ML(\(n\))BiCGStab: reformulation, analysis and implementation. (English) Zbl 1274.65104 Numer. Math., Theory Methods Appl. 5, No. 3, 447-492 (2012). MSC: 65F10 PDFBibTeX XMLCite \textit{M.-C. Yeung}, Numer. Math., Theory Methods Appl. 5, No. 3, 447--492 (2012; Zbl 1274.65104) Full Text: DOI arXiv
Bergner, Georg; Wuilloud, Jaïr Acceleration of the Arnoldi method and real eigenvalues of the non-Hermitian Wilson-Dirac operator. (English) Zbl 1268.65147 Comput. Phys. Commun. 183, No. 2, 299-304 (2012). MSC: 65N25 35P15 35Q40 81V05 81T13 81-08 PDFBibTeX XMLCite \textit{G. Bergner} and \textit{J. Wuilloud}, Comput. Phys. Commun. 183, No. 2, 299--304 (2012; Zbl 1268.65147) Full Text: DOI arXiv
Yeung, M. C. An introduction to ML(\(n\))BiCGStab. (English) Zbl 1260.65021 Brebbia, Carlos A. (ed.) et al., Boundary elements and other mesh reduction methods XXXIV. Selected papers based on the presentations at the 34th international conference, Split, Croatia, June 25–27, 2012. Southampton: WIT Press (ISBN 978-1-84564-622-6/hbk; 978-1-84564-623-3/ebook). WIT Transactions on Engineering and Sciences 53, 331-342 (2012). MSC: 65F10 PDFBibTeX XMLCite \textit{M. C. Yeung}, in: Boundary elements and other mesh reduction methods XXXIV. Selected papers based on the presentations at the 34th international conference, Split, Croatia, June 25--27, 2012. Southampton: WIT Press. 331--342 (2012; Zbl 1260.65021)
Jarlebring, Elias; Michiels, Wim; Meerbergen, Karl A linear eigenvalue algorithm for the nonlinear eigenvalue problem. (English) Zbl 1256.65043 Numer. Math. 122, No. 1, 169-195 (2012). Reviewer: Adhemar Bultheel (Leuven) MSC: 65H17 65F15 PDFBibTeX XMLCite \textit{E. Jarlebring} et al., Numer. Math. 122, No. 1, 169--195 (2012; Zbl 1256.65043) Full Text: DOI
Xue, Fei; Elman, Howard C. Fast inexact implicitly restarted Arnoldi method for generalized eigenvalue problems with spectral transformation. (English) Zbl 1263.65041 SIAM J. Matrix Anal. Appl. 33, No. 2, 433-459 (2012). Reviewer: Robert F. Remis (Delft) MSC: 65F18 65F15 65F10 PDFBibTeX XMLCite \textit{F. Xue} and \textit{H. C. Elman}, SIAM J. Matrix Anal. Appl. 33, No. 2, 433--459 (2012; Zbl 1263.65041) Full Text: DOI Link
Maclachlan, S.; Osei-Kuffuor, D.; Saad, Yousef Modification and compensation strategies for threshold-based incomplete factorizations. (English) Zbl 1241.65032 SIAM J. Sci. Comput. 34, No. 1, A48-A75 (2012). MSC: 65F08 65N22 65Y20 PDFBibTeX XMLCite \textit{S. Maclachlan} et al., SIAM J. Sci. Comput. 34, No. 1, A48--A75 (2012; Zbl 1241.65032) Full Text: DOI
Sadkane, Miloud A low-rank Krylov squared Smith method for large-scale discrete-time Lyapunov equations. (English) Zbl 1260.65040 Linear Algebra Appl. 436, No. 8, 2807-2827 (2012). Reviewer: Martin Plešinger (Liberec) MSC: 65F30 15A24 65F25 65F10 PDFBibTeX XMLCite \textit{M. Sadkane}, Linear Algebra Appl. 436, No. 8, 2807--2827 (2012; Zbl 1260.65040) Full Text: DOI
Börm, Steffen; Mehl, Christian Numerical methods for eigenvalue problems. (English) Zbl 1254.65046 De Gruyter Graduate Lecture. Berlin: De Gruyter (ISBN 978-3-11-025033-6/pbk; 978-3-11-025037-4/ebook). viii, 208 p. (2012). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 65F15 65-02 65F25 15A18 15A23 15A42 65F50 PDFBibTeX XMLCite \textit{S. Börm} and \textit{C. Mehl}, Numerical methods for eigenvalue problems. Berlin: De Gruyter (2012; Zbl 1254.65046) Full Text: DOI
Yamamoto, Yusaku; Hirota, Yusuke A parallel algorithm for incremental orthogonalization based on the compact WY representation. (English) Zbl 1271.65074 JSIAM Lett. 3, 89-92 (2011). MSC: 65F25 65Y05 PDFBibTeX XMLCite \textit{Y. Yamamoto} and \textit{Y. Hirota}, JSIAM Lett. 3, 89--92 (2011; Zbl 1271.65074) Full Text: DOI Link
Jbilou, K.; Messaoudi, A. A computational method for symmetric Stein matrix equations. (English) Zbl 1251.65059 Van Dooren, Paul (ed.) et al., Numerical linear algebra in signals, systems and control. Selected papers based on the presentations at the international workshop, Kharagpur, India, January 9–11, 2007. In honor of Prof. Biswa Nath Datta. New York, NY: Springer (ISBN 978-94-007-0601-9/hbk; 978-94-007-0602-6/ebook). Lecture Notes in Electrical Engineering 80, 295-311 (2011). MSC: 65F30 65F10 15A24 PDFBibTeX XMLCite \textit{K. Jbilou} and \textit{A. Messaoudi}, Lect. Notes Electr. Eng. 80, 295--311 (2011; Zbl 1251.65059) Full Text: DOI
Walker, Homer F.; Ni, Peng Anderson acceleration for fixed-point iterations. (English) Zbl 1254.65067 SIAM J. Numer. Anal. 49, No. 4, 1715-1735 (2011). MSC: 65H10 65F10 PDFBibTeX XMLCite \textit{H. F. Walker} and \textit{P. Ni}, SIAM J. Numer. Anal. 49, No. 4, 1715--1735 (2011; Zbl 1254.65067) Full Text: DOI
Strakoš, Zdeněk; Tichý, Petr On efficient numerical approximation of the bilinear form \(c^*A^{-1}b\). (English) Zbl 1227.65033 SIAM J. Sci. Comput. 33, No. 2, 565-587 (2011). MSC: 65F10 15A63 PDFBibTeX XMLCite \textit{Z. Strakoš} and \textit{P. Tichý}, SIAM J. Sci. Comput. 33, No. 2, 565--587 (2011; Zbl 1227.65033) Full Text: DOI
Dookhitram, Kumar; Boojhawon, Ravindra; Gopaul, Ashvin; Bhuruth, Muddun A-posteriori residual bounds for Arnoldi’s methods for nonsymmetric eigenvalue problems. (English) Zbl 1211.65045 Numer. Algorithms 56, No. 4, 481-495 (2011). MSC: 65F15 PDFBibTeX XMLCite \textit{K. Dookhitram} et al., Numer. Algorithms 56, No. 4, 481--495 (2011; Zbl 1211.65045) Full Text: DOI
Lin, Yiqin; Bao, Liang On the loss of orthogonality in the second-order Arnoldi process. (English) Zbl 1211.65051 J. Appl. Math. Comput. 35, No. 1-2, 475-482 (2011). MSC: 65F25 65G50 PDFBibTeX XMLCite \textit{Y. Lin} and \textit{L. Bao}, J. Appl. Math. Comput. 35, No. 1--2, 475--482 (2011; Zbl 1211.65051) Full Text: DOI
Chou, So-Hsiang; Huang, Tsung-Ming; Huang, Wei-Qiang; Lin, Wen-Wei Efficient Arnoldi-type algorithms for rational eigenvalue problems arising in fluid-solid systems. (English) Zbl 1390.74045 J. Comput. Phys. 230, No. 5, 2189-2206 (2011). MSC: 74F10 74S05 76M10 65F15 PDFBibTeX XMLCite \textit{S.-H. Chou} et al., J. Comput. Phys. 230, No. 5, 2189--2206 (2011; Zbl 1390.74045) Full Text: DOI
Zhuang, XueBin; Cui, XiaoWei; Lu, MingQuan; Feng, ZhenMing Numerically stable method of signal subspace estimation based on multistage Wiener filter. (English) Zbl 1214.94028 Sci. China, Inf. Sci. 53, No. 12, 2620-2630 (2010). MSC: 94A12 65F25 60G35 PDFBibTeX XMLCite \textit{X. Zhuang} et al., Sci. China, Inf. Sci. 53, No. 12, 2620--2630 (2010; Zbl 1214.94028) Full Text: DOI Link
Mohseni Moghadam, M.; Panjeh Ali Beik, F. A new weighted global full orthogonalization method for shifted linear systems with multiple right-hand sides. (English) Zbl 1225.65039 Int. Math. Forum 5, No. 57-60, 2857-2874 (2010). Reviewer: Frank Uhlig (Auburn) MSC: 65F10 65F50 65F25 PDFBibTeX XMLCite \textit{M. Mohseni Moghadam} and \textit{F. Panjeh Ali Beik}, Int. Math. Forum 5, No. 57--60, 2857--2874 (2010; Zbl 1225.65039) Full Text: Link
Boudinov, Edouard R.; Manevich, Arkadiy I. A generalized conjugate direction method for nonsymmetric large ill-conditioned linear systems. (English) Zbl 1215.65056 Olshevsky, Vadim (ed.) et al., Matrix methods. Theory, algorithms and applications. Dedicated to the memory of Gene Golub. Based on the 2nd international conference on matrix methods and operator equations, Moscow, Russia, July 23–27, 2007. Hackensack, NJ: World Scientific (ISBN 978-981-283-601-4/hbk). 210-221 (2010). MSC: 65F10 65F22 PDFBibTeX XMLCite \textit{E. R. Boudinov} and \textit{A. I. Manevich}, in: Matrix methods. Theory, algorithms and applications. Dedicated to the memory of Gene Golub. Based on the 2nd international conference on matrix methods and operator equations, Moscow, Russia, July 23--27, 2007. Hackensack, NJ: World Scientific. 210--221 (2010; Zbl 1215.65056)
Kaabi, Amer On solving large algebraic Riccati matrix equations. (English) Zbl 1215.65079 Int. Math. Forum 5, No. 33-36, 1637-1644 (2010). Reviewer: Michael Jung (Dresden) MSC: 65F30 15A24 PDFBibTeX XMLCite \textit{A. Kaabi}, Int. Math. Forum 5, No. 33--36, 1637--1644 (2010; Zbl 1215.65079) Full Text: Link
Datta, B. N.; Heyouni, M.; Jbilou, K. The global Arnoldi process for solving the Sylvester-observer equation. (English) Zbl 1208.65053 Comput. Appl. Math. 29, No. 3, 527-544 (2010). Reviewer: Mikhail I. Krastanov (Sofia) MSC: 65F30 65F10 65K10 93B07 93B40 65F50 15A24 93D25 PDFBibTeX XMLCite \textit{B. N. Datta} et al., Comput. Appl. Math. 29, No. 3, 527--544 (2010; Zbl 1208.65053) Full Text: DOI
Yang, Jianke Nonlinear waves in integrable and nonintegrable systems. (English) Zbl 1234.35006 Mathematical Modeling and Computation 16. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-0-898717-05-1/pbk; 978-0-89871-968-0/ebook). xxvi, 430 p. (2010). Reviewer: Georg Hebermehl (Berlin) MSC: 35-02 37-02 65-02 35Q55 35Q41 35Q51 35J10 35P10 37K10 37K15 65N25 65N35 37K40 78A60 82C10 PDFBibTeX XMLCite \textit{J. Yang}, Nonlinear waves in integrable and nonintegrable systems. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2010; Zbl 1234.35006) Full Text: DOI
Benner, Peter; Effenberger, Cedric A rational SHIRA method for the Hamiltonian eigenvalue problem. (English) Zbl 1207.65037 Taiwanese J. Math. 14, No. 3A, 805-823 (2010). Reviewer: Costică Moroşanu (Iaşi) MSC: 65F15 15A22 15B57 65F50 PDFBibTeX XMLCite \textit{P. Benner} and \textit{C. Effenberger}, Taiwanese J. Math. 14, No. 3A, 805--823 (2010; Zbl 1207.65037) Full Text: DOI
Wu, Gang; Wei, Yimin An Arnoldi-extrapolation algorithm for computing pagerank. (English) Zbl 1201.65059 J. Comput. Appl. Math. 234, No. 11, 3196-3212 (2010). Reviewer: Raffaella Pavani (Milano) MSC: 65F15 65F10 68P10 PDFBibTeX XMLCite \textit{G. Wu} and \textit{Y. Wei}, J. Comput. Appl. Math. 234, No. 11, 3196--3212 (2010; Zbl 1201.65059) Full Text: DOI
Stewart, G. W. On the semidefinite B-Arnoldi method. (English) Zbl 1195.65047 SIAM J. Matrix Anal. Appl. 31(2009), No. 3, 1458-1468 (2010). MSC: 65F15 65F25 PDFBibTeX XMLCite \textit{G. W. Stewart}, SIAM J. Matrix Anal. Appl. 31, No. 3, 1458--1468 (2010; Zbl 1195.65047) Full Text: DOI
Niu, Qiang; Lu, Linzhang Deflated block Krylov subspace methods for large scale eigenvalue problems. (English) Zbl 1191.65035 J. Comput. Appl. Math. 234, No. 3, 636-648 (2010). Reviewer: R. Militaru (Craiova) MSC: 65F15 PDFBibTeX XMLCite \textit{Q. Niu} and \textit{L. Lu}, J. Comput. Appl. Math. 234, No. 3, 636--648 (2010; Zbl 1191.65035) Full Text: DOI
Quillen, Patrick; Ye, Qiang A block inverse-free preconditioned Krylov subspace method for symmetric generalized eigenvalue problems. (English) Zbl 1186.65044 J. Comput. Appl. Math. 233, No. 5, 1298-1313 (2010). Reviewer: Petko Hr. Petkov (Sofia) MSC: 65F15 65F08 PDFBibTeX XMLCite \textit{P. Quillen} and \textit{Q. Ye}, J. Comput. Appl. Math. 233, No. 5, 1298--1313 (2010; Zbl 1186.65044) Full Text: DOI
Krajewski, Wiesław; Viaro, Umberto Iterative-interpolation algorithms for \(L_2\) model reduction. (English) Zbl 1301.93039 Control Cybern. 38, No. 2, 543-554 (2009). MSC: 93B11 93B40 93C05 PDFBibTeX XMLCite \textit{W. Krajewski} and \textit{U. Viaro}, Control Cybern. 38, No. 2, 543--554 (2009; Zbl 1301.93039)
Puri, R. Srinivasan; Morrey, Denise; Bell, Andrew J.; Durodola, John F.; Rudnyi, Evgenii B.; Korvink, Jan G. Reduced order fully coupled structural-acoustic analysis via implicit moment matching. (English) Zbl 1205.74037 Appl. Math. Modelling 33, No. 11, 4097-4119 (2009). MSC: 74F10 65F15 74S30 PDFBibTeX XMLCite \textit{R. S. Puri} et al., Appl. Math. Modelling 33, No. 11, 4097--4119 (2009; Zbl 1205.74037) Full Text: DOI
bin Mohd, Ismail; bin Mamat, Mustafa; bin Dasril, Yosza; Ismail, Fudziah; Farikhin Model reduction and moment matching. (English) Zbl 1189.93030 Appl. Math. Sci., Ruse 3, No. 37-40, 1849-1859 (2009). MSC: 93B11 34C20 34H05 93C15 93C05 PDFBibTeX XMLCite \textit{I. bin Mohd} et al., Appl. Math. Sci., Ruse 3, No. 37--40, 1849--1859 (2009; Zbl 1189.93030) Full Text: Link
Embree, Mark The Arnoldi eigenvalue iteration with exact shifts can fail. (English) Zbl 1192.65038 SIAM J. Matrix Anal. Appl. 31, No. 1, 1-10 (2009). Reviewer: Petko Hr. Petkov (Sofia) MSC: 65F15 PDFBibTeX XMLCite \textit{M. Embree}, SIAM J. Matrix Anal. Appl. 31, No. 1, 1--10 (2009; Zbl 1192.65038) Full Text: DOI Link
Dookhitram, K.; Boojhawon, R.; Bhuruth, M. A new method for accelerating Arnoldi algorithms for large scale eigenproblems. (English) Zbl 1177.65051 Math. Comput. Simul. 80, No. 2, 387-401 (2009). MSC: 65F15 65F50 PDFBibTeX XMLCite \textit{K. Dookhitram} et al., Math. Comput. Simul. 80, No. 2, 387--401 (2009; Zbl 1177.65051) Full Text: DOI