Grubišić, Luka; Hakula, Harri High order approximations of the operator Lyapunov equation have low rank. (English) Zbl 1503.65296 BIT 62, No. 4, 1433-1459 (2022). Reviewer: Xiaodi Zhang (Zhengzhou) MSC: 65N30 65N50 65N25 93C05 35B09 PDFBibTeX XMLCite \textit{L. Grubišić} and \textit{H. Hakula}, BIT 62, No. 4, 1433--1459 (2022; Zbl 1503.65296) Full Text: DOI
Begović Kovač, Erna Hybrid CUR-type decomposition of tensors in the Tucker format. (English) Zbl 1485.15031 BIT 62, No. 1, 125-138 (2022). MSC: 15A69 15A23 65F99 PDFBibTeX XMLCite \textit{E. Begović Kovač}, BIT 62, No. 1, 125--138 (2022; Zbl 1485.15031) Full Text: DOI arXiv
Cartis, Coralia; Gould, Nicholas I. M.; Lange, Marius On monotonic estimates of the norm of the minimizers of regularized quadratic functions in Krylov spaces. (English) Zbl 1448.90069 BIT 60, No. 3, 583-589 (2020). MSC: 90C20 90C26 90C48 PDFBibTeX XMLCite \textit{C. Cartis} et al., BIT 60, No. 3, 583--589 (2020; Zbl 1448.90069) Full Text: DOI Link
Huhtanen, Marko; Kotila, Vesa Optimal quotients for solving large eigenvalue problems. (English) Zbl 1454.65023 BIT 59, No. 1, 125-154 (2019). Reviewer: Raffaella Pavani (Milano) MSC: 65F15 15A22 15A60 76W05 PDFBibTeX XMLCite \textit{M. Huhtanen} and \textit{V. Kotila}, BIT 59, No. 1, 125--154 (2019; Zbl 1454.65023) Full Text: DOI Link
Mele, Giampaolo; Jarlebring, Elias On restarting the tensor infinite Arnoldi method. (English) Zbl 1386.65132 BIT 58, No. 1, 133-162 (2018). MSC: 65F60 35P30 65H17 15A18 65F15 PDFBibTeX XMLCite \textit{G. Mele} and \textit{E. Jarlebring}, BIT 58, No. 1, 133--162 (2018; Zbl 1386.65132) Full Text: DOI arXiv
Bosner, Nela Efficient algorithm for simultaneous reduction to the \(m\)-Hessenberg-triangular-triangular form. (English) Zbl 1326.65036 BIT 55, No. 3, 677-703 (2015). MSC: 65F05 35L05 65M06 PDFBibTeX XMLCite \textit{N. Bosner}, BIT 55, No. 3, 677--703 (2015; Zbl 1326.65036) Full Text: DOI
Bodendiek, André; Bollhöfer, Matthias Adaptive-order rational Arnoldi-type methods in computational electromagnetism. (English) Zbl 1302.37054 BIT 54, No. 2, 357-380 (2014). MSC: 37N20 65F99 78A25 PDFBibTeX XMLCite \textit{A. Bodendiek} and \textit{M. Bollhöfer}, BIT 54, No. 2, 357--380 (2014; Zbl 1302.37054) Full Text: DOI
Boito, P.; Eidelman, Y.; Gemignani, L. Implicit QR for rank-structured matrix pencils. (English) Zbl 1290.65031 BIT 54, No. 1, 85-111 (2014). MSC: 65F15 65Y20 15B57 15A22 PDFBibTeX XMLCite \textit{P. Boito} et al., BIT 54, No. 1, 85--111 (2014; Zbl 1290.65031) Full Text: DOI
Baglama, James; Reichel, Lothar An implicitly restarted block Lanczos bidiagonalization method using Leja shifts. (English) Zbl 1269.65038 BIT 53, No. 2, 285-310 (2013). MSC: 65F20 PDFBibTeX XMLCite \textit{J. Baglama} and \textit{L. Reichel}, BIT 53, No. 2, 285--310 (2013; Zbl 1269.65038) Full Text: DOI
Martin, David R.; Reichel, Lothar Minimization of functionals on the solution of a large-scale discrete ill-posed problem. (English) Zbl 1262.65053 BIT 53, No. 1, 153-173 (2013). MSC: 65F22 65K05 90C05 90C06 PDFBibTeX XMLCite \textit{D. R. Martin} and \textit{L. Reichel}, BIT 53, No. 1, 153--173 (2013; Zbl 1262.65053) Full Text: DOI
Effenberger, Cedric; Kressner, Daniel Chebyshev interpolation for nonlinear eigenvalue problems. (English) Zbl 1263.65048 BIT 52, No. 4, 933-951 (2012). Reviewer: T. C. Mohan (Dehra Dun) MSC: 65H17 PDFBibTeX XMLCite \textit{C. Effenberger} and \textit{D. Kressner}, BIT 52, No. 4, 933--951 (2012; Zbl 1263.65048) Full Text: DOI Link
Bujanović, Zvonimir; Drmač, Zlatko A contribution to the theory and practice of the block Kogbetliantz method for computing the SVD. (English) Zbl 1264.65059 BIT 52, No. 4, 827-849 (2012). Reviewer: Ştefan M. Şoltuz (Westmount) MSC: 65F20 15A18 PDFBibTeX XMLCite \textit{Z. Bujanović} and \textit{Z. Drmač}, BIT 52, No. 4, 827--849 (2012; Zbl 1264.65059) Full Text: DOI
Mikkelsen, Carl Christian Kjelgaard Retracing the residual curve of a Lyapunov equation solver. (English) Zbl 1246.65073 BIT 51, No. 4, 959-975 (2011). Reviewer: Vasilis Dimitriou (Chania) MSC: 65F30 PDFBibTeX XMLCite \textit{C. C. K. Mikkelsen}, BIT 51, No. 4, 959--975 (2011; Zbl 1246.65073) Full Text: DOI Link
Hochstenbach, Michiel E.; Reichel, Lothar Fractional Tikhonov regularization for linear discrete ill-posed problems. (English) Zbl 1215.65075 BIT 51, No. 1, 197-215 (2011). Reviewer: Daniel Kressner (Lausanne) MSC: 65F22 PDFBibTeX XMLCite \textit{M. E. Hochstenbach} and \textit{L. Reichel}, BIT 51, No. 1, 197--215 (2011; Zbl 1215.65075) Full Text: DOI
Cartis, C.; Gould, N. I. M.; Toint, P. L. Trust-region and other regularisations of linear least-squares problems. (English) Zbl 1165.65019 BIT 49, No. 1, 21-53 (2009). Reviewer: Constantin Popa (Constanţa) MSC: 65F20 65F22 65K05 90C25 90C51 PDFBibTeX XMLCite \textit{C. Cartis} et al., BIT 49, No. 1, 21--53 (2009; Zbl 1165.65019) Full Text: DOI Link
Driscoll, Tobin A.; Bornemann, Folkmar; Trefethen, Lloyd N. The chebop system for automatic solution of differential equations. (English) Zbl 1162.65370 BIT 48, No. 4, 701-723 (2008). MSC: 65L10 34B05 68W30 65L60 35L15 34L16 PDFBibTeX XMLCite \textit{T. A. Driscoll} et al., BIT 48, No. 4, 701--723 (2008; Zbl 1162.65370) Full Text: DOI
Lukšan, L.; Matonoha, C.; Vlček, J. On Lagrange multipliers of trust-region subproblems. (English) Zbl 1163.90027 BIT 48, No. 4, 763-768 (2008). Reviewer: Andrea Walther (Paderborn) MSC: 90C30 49M29 PDFBibTeX XMLCite \textit{L. Lukšan} et al., BIT 48, No. 4, 763--768 (2008; Zbl 1163.90027) Full Text: DOI Link
Reichel, Lothar; Shyshkov, Andriy A new zero-finder for Tikhonov regularization. (English) Zbl 1161.65029 BIT 48, No. 3, 627-643 (2008). Reviewer: Rémi Vaillancourt (Ottawa) MSC: 65F22 65F20 PDFBibTeX XMLCite \textit{L. Reichel} and \textit{A. Shyshkov}, BIT 48, No. 3, 627--643 (2008; Zbl 1161.65029) Full Text: DOI
Kågström, B.; Kressner, D.; Quintana-Ortí, E. S.; Quintana-Ortí, G. Blocked algorithms for the reduction to Hessenberg-triangular form revisited. (English) Zbl 1157.65348 BIT 48, No. 3, 563-584 (2008). MSC: 65F15 65Y20 PDFBibTeX XMLCite \textit{B. Kågström} et al., BIT 48, No. 3, 563--584 (2008; Zbl 1157.65348) Full Text: DOI Link
Xie, Dexuan; Zhou, Shuzi A new minimization protocol for solving nonlinear Poisson-Boltzmann mortar finite element equation. (English) Zbl 1147.65096 BIT 47, No. 4, 853-871 (2007). Reviewer: Murli Gupta (Washington, D. C.) MSC: 65N30 92-08 35J65 92C50 65H10 65K10 PDFBibTeX XMLCite \textit{D. Xie} and \textit{S. Zhou}, BIT 47, No. 4, 853--871 (2007; Zbl 1147.65096) Full Text: DOI
Ye, Qiang; Zha, Hongyuan; Li, Ren-Cang Analysis of an alignment algorithm for nonlinear dimensionality reduction. (English) Zbl 1129.62062 BIT 47, No. 4, 873-885 (2007). MSC: 62H99 62-07 15A99 62H30 65F15 15A18 PDFBibTeX XMLCite \textit{Q. Ye} et al., BIT 47, No. 4, 873--885 (2007; Zbl 1129.62062) Full Text: DOI
Granat, Robert; Kågström, Bo; Kressner, Daniel Computing periodic deflating subspaces associated with a specified set of eigenvalues. (English) Zbl 1146.65029 BIT 47, No. 4, 763-791 (2007). Reviewer: Frank Uhlig (Auburn) MSC: 65F15 93B60 PDFBibTeX XMLCite \textit{R. Granat} et al., BIT 47, No. 4, 763--791 (2007; Zbl 1146.65029) Full Text: DOI
García-Archilla, Bosco; Sánchez, Juan; Simó, Carles Krylov methods and determinants for detecting bifurcations in one parameter dependent partial differential equations. (English) Zbl 1111.65112 BIT 46, No. 4, 731-757 (2006). Reviewer: H. B. Bouzahir (Agadir) MSC: 65P30 65F40 65F10 37G10 65F35 PDFBibTeX XMLCite \textit{B. García-Archilla} et al., BIT 46, No. 4, 731--757 (2006; Zbl 1111.65112) Full Text: DOI
Olsson, K. Henrik A.; Ruhe, Axel Rational Krylov for eigenvalue computation and model order reduction. (English) Zbl 1105.65036 BIT 46, Suppl., S99-S111 (2006). MSC: 65F15 65F50 93A30 PDFBibTeX XMLCite \textit{K. H. A. Olsson} and \textit{A. Ruhe}, BIT 46, S99--S111 (2006; Zbl 1105.65036) Full Text: DOI
Ferm, Lars; Lötstedt, Per; Sjöberg, Paul Conservative solution of the Fokker-Planck equation for stochastic chemical reactions. (English) Zbl 1105.65091 BIT 46, Suppl., S61-S83 (2006). MSC: 65M06 65M20 65M50 35K55 82C31 60H15 PDFBibTeX XMLCite \textit{L. Ferm} et al., BIT 46, S61--S83 (2006; Zbl 1105.65091) Full Text: DOI
Morigi, S.; Reichel, L.; Sgallari, F. An iterative Lavrentiev regularization method. (English) Zbl 1107.65038 BIT 46, No. 3, 589-606 (2006). Reviewer: Andreas Meister (Kassel) MSC: 65F22 65F10 PDFBibTeX XMLCite \textit{S. Morigi} et al., BIT 46, No. 3, 589--606 (2006; Zbl 1107.65038) Full Text: DOI
Eldén, L.; Hansen, P. C.; Rojas, M. Minimization of linear functionals defined on solutions of large-scale discrete ill-posed problems. (English) Zbl 1084.65035 BIT 45, No. 2, 329-340 (2005). Reviewer: R. P. Tewarson (Stony Brook) MSC: 65F22 65F20 PDFBibTeX XMLCite \textit{L. Eldén} et al., BIT 45, No. 2, 329--340 (2005; Zbl 1084.65035) Full Text: DOI
Sima, Diana M.; Van Huffel, Sabine; Golub, Gene H. Regularized total least squares based on quadratic eigenvalue problem solvers. (English) Zbl 1079.65048 BIT 44, No. 4, 793-812 (2004). Reviewer: Jan Kozanek (Praha) MSC: 65F20 65F15 PDFBibTeX XMLCite \textit{D. M. Sima} et al., BIT 44, No. 4, 793--812 (2004; Zbl 1079.65048) Full Text: DOI
Dhillon, Inderjit S. Current inverse iteration software can fail. (English) Zbl 0918.65025 BIT 38, No. 4, 685-704 (1998). Reviewer: P.Narain (Bombay) MSC: 65F15 65F25 65Y15 PDFBibTeX XMLCite \textit{I. S. Dhillon}, BIT 38, No. 4, 685--704 (1998; Zbl 0918.65025) Full Text: DOI
Huhtanen, M. An alternative to the Ritz pairs with the EN subspace method. (English) Zbl 0901.65024 BIT 38, No. 1, 58-71 (1998). Reviewer: Liu Xinguo (Qingdao) MSC: 65F15 PDFBibTeX XMLCite \textit{M. Huhtanen}, BIT 38, No. 1, 58--71 (1998; Zbl 0901.65024) Full Text: DOI
de Samblanx, G.; Meerbergen, K.; Bultheel, A. The implicit application of a rational filter in the RKS method. (English) Zbl 0890.65035 BIT 37, No. 4, 925-947 (1997). Reviewer: A.Meister (Hamburg) MSC: 65F15 PDFBibTeX XMLCite \textit{G. de Samblanx} et al., BIT 37, No. 4, 925--947 (1997; Zbl 0890.65035) Full Text: DOI
Hansen, P. C.; Ostromsky, Tz.; Sameh, A.; Zlatev, Z. Solving sparse linear least-squares problems on some supercomputers by using large dense blocks. (English) Zbl 0883.65035 BIT 37, No. 3, 535-558 (1997). Reviewer: D.Braess (Bochum) MSC: 65F20 65F50 PDFBibTeX XMLCite \textit{P. C. Hansen} et al., BIT 37, No. 3, 535--558 (1997; Zbl 0883.65035) Full Text: DOI
Sleijpen, Gerard L. G.; Booten, Albert G. L.; Fokkema, Diederik R.; Van der Vorst, Henk A. Jacobi-Davidson type methods for generalized eigenproblems and polynomial eigenproblems. (English) Zbl 0861.65035 BIT 36, No. 3, 595-633 (1996). Reviewer: A.Galántai (Miskolc-Egyetemvaros) MSC: 65F15 PDFBibTeX XMLCite \textit{G. L. G. Sleijpen} et al., BIT 36, No. 3, 595--633 (1996; Zbl 0861.65035) Full Text: DOI
Simoncini, V.; Sadkane, M. Arnoldi-Riccati method for large eigenvalue problems. (English) Zbl 0856.65035 BIT 36, No. 3, 579-594 (1996). Reviewer: P.Y.Yalamov (Russe) MSC: 65F15 65F50 PDFBibTeX XMLCite \textit{V. Simoncini} and \textit{M. Sadkane}, BIT 36, No. 3, 579--594 (1996; Zbl 0856.65035) Full Text: DOI
Cullum, Jane Arnoldi versus nonsymmetric Lanczos algorithms for solving matrix eigenvalue problems. (English) Zbl 0861.65032 BIT 36, No. 3, 470-493 (1996). Reviewer: H.Matthies (Braunschweig) MSC: 65F15 PDFBibTeX XMLCite \textit{J. Cullum}, BIT 36, No. 3, 470--493 (1996; Zbl 0861.65032) Full Text: DOI
Baglama, J.; Calvetti, D.; Reichel, L. Iterative methods for the computation of a few eigenvalues of a large symmetric matrix. (English) Zbl 0856.65030 BIT 36, No. 3, 400-421 (1996). Reviewer: V.Burjan (Praha) MSC: 65F15 PDFBibTeX XMLCite \textit{J. Baglama} et al., BIT 36, No. 3, 400--421 (1996; Zbl 0856.65030) Full Text: DOI
Jia, Zhongxiao A block incomplete orthogonalization method for large nonsymmetric eigenproblems. (English) Zbl 0844.65026 BIT 35, No. 4, 516-539 (1995). Reviewer: J.P.Milaszewicz (Dublin) MSC: 65F15 65F25 PDFBibTeX XMLCite \textit{Z. Jia}, BIT 35, No. 4, 516--539 (1995; Zbl 0844.65026) Full Text: DOI
Björck, Åke; Grimme, Eric; van Dooren, Paul An implicit shift bidiagonalization algorithm for ill-posed systems. (English) Zbl 0821.65023 BIT 34, No. 4, 510-534 (1994). Reviewer: Xie Shenquan (Xiangtan) MSC: 65F20 65F10 PDFBibTeX XMLCite \textit{Å. Björck} et al., BIT 34, No. 4, 510--534 (1994; Zbl 0821.65023) Full Text: DOI
Ruhe, Axel The rational Krylov algorithm for nonsymmetric eigenvalue problems. III: Complex shifts for real matrices. (English) Zbl 0810.65032 BIT 34, No. 1, 165-176 (1994). MSC: 65F15 PDFBibTeX XMLCite \textit{A. Ruhe}, BIT 34, No. 1, 165--176 (1994; Zbl 0810.65032) Full Text: DOI
Meerbergen, K.; Spence, A.; Roose, D. Shift-invert and Cayley transforms for detection of rightmost eigenvalues of nonsymmetric matrices. (English) Zbl 0814.65037 BIT 34, No. 3, 409-423 (1994). Reviewer: A.L.Andrew (Bundoora) MSC: 65F15 65F50 PDFBibTeX XMLCite \textit{K. Meerbergen} et al., BIT 34, No. 3, 409--423 (1994; Zbl 0814.65037) Full Text: DOI
Schreiber, Robert On systolic array methods for band matrix factorizations. (English) Zbl 0617.65011 BIT 26, 303-316 (1986). Reviewer: Myron Sussman MSC: 65F05 15A23 65F50 PDFBibTeX XMLCite \textit{R. Schreiber}, BIT 26, 303--316 (1986; Zbl 0617.65011) Full Text: DOI