Kressner, Daniel; Massei, Stefano; Zhu, Junli Improved ParaDiag via low-rank updates and interpolation. (English) Zbl 1523.65041 Numer. Math. 155, No. 1-2, 175-209 (2023). MSC: 65F45 65F10 65M22 93C20 PDFBibTeX XMLCite \textit{D. Kressner} et al., Numer. Math. 155, No. 1--2, 175--209 (2023; Zbl 1523.65041) Full Text: DOI arXiv OA License
Mor, Uria; Shustin, Boris; Avron, Haim Solving trust region subproblems using Riemannian optimization. (English) Zbl 07707122 Numer. Math. 154, No. 1-2, 1-33 (2023). MSC: 65B99 65F99 90C99 PDFBibTeX XMLCite \textit{U. Mor} et al., Numer. Math. 154, No. 1--2, 1--33 (2023; Zbl 07707122) Full Text: DOI arXiv
Wang, Li; Zhang, Lei-Hong; Li, Ren-Cang Maximizing sum of coupled traces with applications. (English) Zbl 1505.65221 Numer. Math. 152, No. 3, 587-629 (2022). MSC: 65K05 65H17 90C26 PDFBibTeX XMLCite \textit{L. Wang} et al., Numer. Math. 152, No. 3, 587--629 (2022; Zbl 1505.65221) Full Text: DOI
Peralta, Gilbert; Kunisch, Karl Mixed and hybrid Petrov-Galerkin finite element discretization for optimal control of the wave equation. (English) Zbl 1487.49007 Numer. Math. 150, No. 2, 591-627 (2022). Reviewer: Francesco Rossi (Padova) MSC: 49J20 35L05 65M60 PDFBibTeX XMLCite \textit{G. Peralta} and \textit{K. Kunisch}, Numer. Math. 150, No. 2, 591--627 (2022; Zbl 1487.49007) Full Text: DOI
Tropp, Joel A. Randomized block Krylov methods for approximating extreme eigenvalues. (English) Zbl 1480.65086 Numer. Math. 150, No. 1, 217-255 (2022). MSC: 65F15 68W20 60B20 PDFBibTeX XMLCite \textit{J. A. Tropp}, Numer. Math. 150, No. 1, 217--255 (2022; Zbl 1480.65086) Full Text: DOI arXiv Link
Brenner, Susanne C.; Sung, Li-yeng; Tan, Zhiyu; Zhang, Hongchao A convexity enforcing \(C^0\) interior penalty method for the Monge-Ampère equation on convex polygonal domains. (English) Zbl 1477.65194 Numer. Math. 148, No. 3, 497-524 (2021). MSC: 65N30 65K10 65N15 35G30 35J96 90C06 90C26 35D30 PDFBibTeX XMLCite \textit{S. C. Brenner} et al., Numer. Math. 148, No. 3, 497--524 (2021; Zbl 1477.65194) Full Text: DOI
Gedicke, Joscha; Khan, Arbaz Divergence-conforming discontinuous Galerkin finite elements for Stokes eigenvalue problems. (English) Zbl 1455.65204 Numer. Math. 144, No. 3, 585-614 (2020). Reviewer: Wei Gong (Beijing) MSC: 65N30 65N15 65N25 PDFBibTeX XMLCite \textit{J. Gedicke} and \textit{A. Khan}, Numer. Math. 144, No. 3, 585--614 (2020; Zbl 1455.65204) Full Text: DOI arXiv
Egger, H. Structure preserving approximation of dissipative evolution problems. (English) Zbl 1450.37071 Numer. Math. 143, No. 1, 85-106 (2019). Reviewer: Vasile Marinca (Timişoara) MSC: 37L65 37M15 65P10 47J35 65N30 PDFBibTeX XMLCite \textit{H. Egger}, Numer. Math. 143, No. 1, 85--106 (2019; Zbl 1450.37071) Full Text: DOI arXiv
Koev, Plamen Accurate eigenvalues and exact zero Jordan blocks of totally nonnegative matrices. (English) Zbl 1434.65035 Numer. Math. 141, No. 3, 693-713 (2019). Reviewer: Georg Hebermehl (Berlin) MSC: 65F15 65F22 65F35 65Y04 15A18 15A20 PDFBibTeX XMLCite \textit{P. Koev}, Numer. Math. 141, No. 3, 693--713 (2019; Zbl 1434.65035) Full Text: DOI
Nochetto, Ricardo H.; Zhang, Wujun Pointwise rates of convergence for the Oliker-Prussner method for the Monge-Ampère equation. (English) Zbl 1407.65263 Numer. Math. 141, No. 1, 253-288 (2019). MSC: 65N12 65N15 65N30 35J96 PDFBibTeX XMLCite \textit{R. H. Nochetto} and \textit{W. Zhang}, Numer. Math. 141, No. 1, 253--288 (2019; Zbl 1407.65263) Full Text: DOI arXiv
Saibaba, Arvind K.; Alexanderian, Alen; Ipsen, Ilse C. F. Randomized matrix-free trace and log-determinant estimators. (English) Zbl 1378.65094 Numer. Math. 137, No. 2, 353-395 (2017). Reviewer: Constantin Popa (Constanţa) MSC: 65F40 68W20 65F15 65F25 65F35 15B52 62F15 PDFBibTeX XMLCite \textit{A. K. Saibaba} et al., Numer. Math. 137, No. 2, 353--395 (2017; Zbl 1378.65094) Full Text: DOI arXiv
Zhu, Shengfeng; Dedè, Luca; Quarteroni, Alfio Isogeometric analysis and proper orthogonal decomposition for parabolic problems. (English) Zbl 1380.65295 Numer. Math. 135, No. 2, 333-370 (2017). MSC: 65M60 35K20 65D07 65M12 65M15 PDFBibTeX XMLCite \textit{S. Zhu} et al., Numer. Math. 135, No. 2, 333--370 (2017; Zbl 1380.65295) Full Text: DOI Link
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
Giani, Stefano; Grubišić, Luka; Międlar, Agnieszka; Ovall, Jeffrey S. Robust error estimates for approximations of non-self-adjoint eigenvalue problems. (English) Zbl 1342.65217 Numer. Math. 133, No. 3, 471-495 (2016). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65N30 65N25 65N15 PDFBibTeX XMLCite \textit{S. Giani} et al., Numer. Math. 133, No. 3, 471--495 (2016; Zbl 1342.65217) Full Text: DOI Link
Målqvist, Axel; Peterseim, Daniel Computation of eigenvalues by numerical upscaling. (English) Zbl 1333.65127 Numer. Math. 130, No. 2, 337-361 (2015). Reviewer: Gunther Schmidt (Berlin) MSC: 65N25 65N12 65N30 65N55 35P15 65N15 PDFBibTeX XMLCite \textit{A. Målqvist} and \textit{D. Peterseim}, Numer. Math. 130, No. 2, 337--361 (2015; Zbl 1333.65127) Full Text: DOI arXiv
Aishima, Kensuke Global convergence of the restarted Lanczos and Jacobi-Davidson methods for symmetric eigenvalue problems. (English) Zbl 1325.65050 Numer. Math. 131, No. 3, 405-423 (2015). Reviewer: Anton Iliev (Plovdiv) MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{K. Aishima}, Numer. Math. 131, No. 3, 405--423 (2015; Zbl 1325.65050) Full Text: DOI
Jia, Zhongxiao; Lin, Wen-Wei; Liu, Ching-Sung A positivity preserving inexact Noda iteration for computing the smallest eigenpair of a large irreducible \(M\)-matrix. (English) Zbl 1320.65055 Numer. Math. 130, No. 4, 645-679 (2015). Reviewer: Constantin Popa (Constanţa) MSC: 65F15 65F50 15B48 PDFBibTeX XMLCite \textit{Z. Jia} et al., Numer. Math. 130, No. 4, 645--679 (2015; Zbl 1320.65055) Full Text: DOI arXiv
Strobach, Peter Constrained optimization of the overdetermined Zimmermann compressor for nonorthogonal joint matrix diagonalization. (English) Zbl 1310.65049 Numer. Math. 129, No. 3, 563-586 (2015). MSC: 65F30 65F20 15A21 PDFBibTeX XMLCite \textit{P. Strobach}, Numer. Math. 129, No. 3, 563--586 (2015; Zbl 1310.65049) Full Text: DOI
Guglielmi, Nicola; Kressner, Daniel; Lubich, Christian Low rank differential equations for Hamiltonian matrix nearness problems. (English) Zbl 1312.65070 Numer. Math. 129, No. 2, 279-319 (2015). Reviewer: Constantin Popa (Constanţa) MSC: 65F30 15A18 93B36 93B40 49N35 65F15 93B52 93C05 65K10 PDFBibTeX XMLCite \textit{N. Guglielmi} et al., Numer. Math. 129, No. 2, 279--319 (2015; Zbl 1312.65070) Full Text: DOI
Spillane, N.; Dolean, V.; Hauret, P.; Nataf, F.; Pechstein, C.; Scheichl, R. Abstract robust coarse spaces for systems of PDEs via generalized eigenproblems in the overlaps. (English) Zbl 1291.65109 Numer. Math. 126, No. 4, 741-770 (2014). Reviewer: Constantin Popa (Constanţa) MSC: 65F10 65N22 65N30 65N55 PDFBibTeX XMLCite \textit{N. Spillane} et al., Numer. Math. 126, No. 4, 741--770 (2014; Zbl 1291.65109) Full Text: DOI Link
Engström, Christian Spectral approximation of quadratic operator polynomials arising in photonic band structure calculations. (English) Zbl 1366.78024 Numer. Math. 126, No. 3, 413-440 (2014). Reviewer: Jun Zou (Hong Kong) MSC: 78M22 78M10 78A50 35B10 35Q60 65N12 78M30 47A58 PDFBibTeX XMLCite \textit{C. Engström}, Numer. Math. 126, No. 3, 413--440 (2014; Zbl 1366.78024) Full Text: DOI
Benner, Peter; Breiten, Tobias Low rank methods for a class of generalized Lyapunov equations and related issues. (English) Zbl 1266.65068 Numer. Math. 124, No. 3, 441-470 (2013). MSC: 65F30 PDFBibTeX XMLCite \textit{P. Benner} and \textit{T. Breiten}, Numer. Math. 124, No. 3, 441--470 (2013; Zbl 1266.65068) Full Text: DOI
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
Singler, John R. Balanced POD for model reduction of linear PDE systems: convergence theory. (English) Zbl 1236.93060 Numer. Math. 121, No. 1, 127-164 (2012). MSC: 93B40 93C05 93B10 PDFBibTeX XMLCite \textit{J. R. Singler}, Numer. Math. 121, No. 1, 127--164 (2012; Zbl 1236.93060) Full Text: DOI
Giani, S.; Graham, I. G. Adaptive finite element methods for computing band gaps in photonic crystals. (English) Zbl 1241.82077 Numer. Math. 121, No. 1, 31-64 (2012). MSC: 82D25 82-08 78A25 78M10 35Q61 78A60 65N30 65N25 PDFBibTeX XMLCite \textit{S. Giani} and \textit{I. G. Graham}, Numer. Math. 121, No. 1, 31--64 (2012; Zbl 1241.82077) Full Text: DOI Link
Carstensen, Carsten; Gedicke, Joscha; Mehrmann, Volker; Miedlar, Agnieszka An adaptive homotopy approach for non-selfadjoint eigenvalue problems. (English) Zbl 1263.65106 Numer. Math. 119, No. 3, 557-583 (2011). Reviewer: Liviu Marin (Bucharest) MSC: 65N25 35P15 65F15 PDFBibTeX XMLCite \textit{C. Carstensen} et al., Numer. Math. 119, No. 3, 557--583 (2011; Zbl 1263.65106) Full Text: DOI
Knizhnerman, L.; Simoncini, V. Convergence analysis of the extended Krylov subspace method for the Lyapunov equation. (English) Zbl 1230.65055 Numer. Math. 118, No. 3, 567-586 (2011). Reviewer: Cyril Fischer (Praha) MSC: 65F30 65F10 15A24 PDFBibTeX XMLCite \textit{L. Knizhnerman} and \textit{V. Simoncini}, Numer. Math. 118, No. 3, 567--586 (2011; Zbl 1230.65055) Full Text: DOI
Mengi, Emre Locating a nearest matrix with an eigenvalue of prespecified algebraic multiplicity. (English) Zbl 1219.65046 Numer. Math. 118, No. 1, 109-135 (2011). Reviewer: Efstratios Rappos (Aubonne) MSC: 65F30 15A18 90C56 15A60 65K05 65F15 PDFBibTeX XMLCite \textit{E. Mengi}, Numer. Math. 118, No. 1, 109--135 (2011; Zbl 1219.65046) Full Text: DOI
Dopico, Froilán M.; Koev, Plamen; Molera, Juan M. Implicit standard Jacobi gives high relative accuracy. (English) Zbl 1223.65025 Numer. Math. 113, No. 4, 519-553 (2009). MSC: 65F15 15B57 15A12 65F35 PDFBibTeX XMLCite \textit{F. M. Dopico} et al., Numer. Math. 113, No. 4, 519--553 (2009; Zbl 1223.65025) Full Text: DOI
Galántai, A.; Hegedűs, C. J. Perturbation bounds for polynomials. (English) Zbl 1140.65037 Numer. Math. 109, No. 1, 77-100 (2008). Reviewer: Jiří Vaníček (Praha) MSC: 65H05 65F15 15A12 65J20 PDFBibTeX XMLCite \textit{A. Galántai} and \textit{C. J. Hegedűs}, Numer. Math. 109, No. 1, 77--100 (2008; Zbl 1140.65037) Full Text: DOI
Demmel, James; Dumitriu, Ioana; Holtz, Olga Fast linear algebra is stable. (English) Zbl 1133.65015 Numer. Math. 108, No. 1, 59-91 (2007). Reviewer: Liu Xinguo (Qingdao) MSC: 65Fxx 65Y20 PDFBibTeX XMLCite \textit{J. Demmel} et al., Numer. Math. 108, No. 1, 59--91 (2007; Zbl 1133.65015) Full Text: DOI arXiv
Demmel, James; Dumitriu, Ioana; Holtz, Olga; Kleinberg, Robert Fast matrix multiplication is stable. (English) Zbl 1134.65030 Numer. Math. 106, No. 2, 199-224 (2007). Reviewer: René Lamour (Berlin) MSC: 65F30 65G50 PDFBibTeX XMLCite \textit{J. Demmel} et al., Numer. Math. 106, No. 2, 199--224 (2007; Zbl 1134.65030) Full Text: DOI arXiv
Wang, Zhou-Hong; Yuan, Ya-Xiang A subspace implementation of quasi-Newton trust region methods for unconstrained optimization. (English) Zbl 1101.65066 Numer. Math. 104, No. 2, 241-269 (2006). Reviewer: Efstratios Rappos (Athens) MSC: 65K05 90C53 90C51 90C30 PDFBibTeX XMLCite \textit{Z.-H. Wang} and \textit{Y.-X. Yuan}, Numer. Math. 104, No. 2, 241--269 (2006; Zbl 1101.65066) Full Text: DOI
Benner, Peter; Byers, Ralph An arithmetic for matrix pencils: theory and new algorithms. (English) Zbl 1101.65046 Numer. Math. 103, No. 4, 539-573 (2006). Reviewer: Liu Xinguo (Qingdao) MSC: 65F30 15A22 PDFBibTeX XMLCite \textit{P. Benner} and \textit{R. Byers}, Numer. Math. 103, No. 4, 539--573 (2006; Zbl 1101.65046) Full Text: DOI Link
Kressner, Daniel A periodic Krylov-Schur algorithm for large matrix products. (English) Zbl 1094.65027 Numer. Math. 103, No. 3, 461-483 (2006). MSC: 65F15 65F50 15-04 PDFBibTeX XMLCite \textit{D. Kressner}, Numer. Math. 103, No. 3, 461--483 (2006; Zbl 1094.65027) Full Text: DOI Link
Bini, Dario A.; Gemignani, Luca; Pan, Victor Y. Fast and stable QR eigenvalue algorithms for generalized companion matrices and secular equations. (English) Zbl 1072.65068 Numer. Math. 100, No. 3, 373-408 (2005). Reviewer: Constantin Popa (Constanta) MSC: 65H05 65F15 12Y05 30C15 26D10 PDFBibTeX XMLCite \textit{D. A. Bini} et al., Numer. Math. 100, No. 3, 373--408 (2005; Zbl 1072.65068) Full Text: DOI
Grippo, L.; Lampariello, F.; Lucidi, S. A class on nonmonotone stabilization methods in unconstrained optimization. (English) Zbl 0724.90060 Numer. Math. 59, No. 8, 779-806 (1991). Reviewer: L.Grippo MSC: 90C30 65K05 90-08 PDFBibTeX XMLCite \textit{L. Grippo} et al., Numer. Math. 59, No. 8, 779--806 (1991; Zbl 0724.90060) Full Text: DOI EuDML
Moré, Jorge J.; Toraldo, Gerardo Algorithms for bound constrained quadratic programming problems. (English) Zbl 0675.65061 Numer. Math. 55, No. 4, 377-400 (1989). Reviewer: J.Terno MSC: 65K05 90C20 PDFBibTeX XMLCite \textit{J. J. Moré} and \textit{G. Toraldo}, Numer. Math. 55, No. 4, 377--400 (1989; Zbl 0675.65061) Full Text: DOI EuDML
Rheinboldt, Werner C. On the computation of multi-dimensional solution manifolds of parametrized equations. (English) Zbl 0676.65047 Numer. Math. 53, No. 1-2, 165-181 (1988). Reviewer: E.Bohl MSC: 65H10 PDFBibTeX XMLCite \textit{W. C. Rheinboldt}, Numer. Math. 53, No. 1--2, 165--181 (1988; Zbl 0676.65047) Full Text: DOI EuDML
Jarausch, Helmut; Mackens, Wolfgang Solving large nonlinear systems of equations by an adaptive condensation process. (English) Zbl 0647.65036 Numer. Math. 50, 633-653 (1987). Reviewer: B.Döring MSC: 65H10 65N22 35J65 PDFBibTeX XMLCite \textit{H. Jarausch} and \textit{W. Mackens}, Numer. Math. 50, 633--653 (1987; Zbl 0647.65036) Full Text: DOI EuDML
Gragg, William B.; Harrod, William J. The numerically stable reconstruction of Jacobi matrices from spectral data. (English) Zbl 0556.65027 Numer. Math. 44, 317-335 (1984). Reviewer: L.Elsner MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{W. B. Gragg} and \textit{W. J. Harrod}, Numer. Math. 44, 317--335 (1984; Zbl 0556.65027) Full Text: DOI EuDML
Cuppen, J. J. M. A Divide and Conquer method for the symmetric tridiagonal eigenproblem. (English) Zbl 0431.65022 Numer. Math. 36, 177-195 (1981). MSC: 65F15 68Q25 PDFBibTeX XMLCite \textit{J. J. M. Cuppen}, Numer. Math. 36, 177--195 (1981; Zbl 0431.65022) Full Text: DOI EuDML
Bunch, James R.; Nielsen, Christopher P. Updating the singular value decomposition. (English) Zbl 0421.65028 Numer. Math. 31, 111-129 (1978). MSC: 65F30 65F20 PDFBibTeX XMLCite \textit{J. R. Bunch} and \textit{C. P. Nielsen}, Numer. Math. 31, 111--129 (1978; Zbl 0421.65028) Full Text: DOI EuDML