Liljegren-Sailer, Björn; Gosea, Ion Victor Data-driven and low-rank implementations of balanced singular perturbation approximation. (English) Zbl 07805928 SIAM J. Sci. Comput. 46, No. 1, A483-A507 (2024). MSC: 93B11 93C70 93C05 93D20 93A15 PDFBibTeX XMLCite \textit{B. Liljegren-Sailer} and \textit{I. V. Gosea}, SIAM J. Sci. Comput. 46, No. 1, A483--A507 (2024; Zbl 07805928) Full Text: DOI arXiv
Chu, Moody T.; Lin, Matthew M. Nonlinear power-like and SVD-like iterative schemes with applications to entangled bipartite rank-1 approximation. (English) Zbl 07418115 SIAM J. Sci. Comput. 43, No. 5, S448-S474 (2021). MSC: 65F10 15A24 65H10 15A72 58D19 PDFBibTeX XMLCite \textit{M. T. Chu} and \textit{M. M. Lin}, SIAM J. Sci. Comput. 43, No. 5, S448--S474 (2021; Zbl 07418115) Full Text: DOI
Luiken, Nick; van Leeuwen, Tristan Relaxed regularization for linear inverse problems. (English) Zbl 1490.65071 SIAM J. Sci. Comput. 43, No. 5, S269-S292 (2021). MSC: 65F22 65F10 15A18 15A29 PDFBibTeX XMLCite \textit{N. Luiken} and \textit{T. van Leeuwen}, SIAM J. Sci. Comput. 43, No. 5, S269--S292 (2021; Zbl 1490.65071) Full Text: DOI
Zhang, Lu; Xu, Liwei; Yin, Tao An accurate hypersingular boundary integral equation method for dynamic poroelasticity in two dimensions. (English) Zbl 1486.65276 SIAM J. Sci. Comput. 43, No. 3, B784-B810 (2021). MSC: 65N38 35C15 65R15 65F10 65R20 74B05 PDFBibTeX XMLCite \textit{L. Zhang} et al., SIAM J. Sci. Comput. 43, No. 3, B784--B810 (2021; Zbl 1486.65276) Full Text: DOI arXiv
Chu, Moody T.; Lin, Matthew M. Nonlinear power-like and SVD-like iterative schemes with applications to entangled bipartite rank-1 approximation. (English) Zbl 07378150 SIAM J. Sci. Comput. 43, No. 3, S448-S474 (2021). MSC: 65F10 15A24 65H10 15A72 58D19 PDFBibTeX XMLCite \textit{M. T. Chu} and \textit{M. M. Lin}, SIAM J. Sci. Comput. 43, No. 3, S448--S474 (2021; Zbl 07378150) Full Text: DOI
Luiken, Nick; van Leeuwen, Tristan Relaxed regularization for linear inverse problems. (English) Zbl 1512.65071 SIAM J. Sci. Comput. 43, No. 3, S269-S292 (2021). MSC: 65F22 65F10 15A18 15A29 PDFBibTeX XMLCite \textit{N. Luiken} and \textit{T. van Leeuwen}, SIAM J. Sci. Comput. 43, No. 3, S269--S292 (2021; Zbl 1512.65071) Full Text: DOI arXiv
Pulch, Roland; Narayan, Akil Balanced truncation for model order reduction of linear dynamical systems with quadratic outputs. (English) Zbl 1420.65073 SIAM J. Sci. Comput. 41, No. 4, A2270-A2295 (2019). MSC: 65L05 34C20 93B40 PDFBibTeX XMLCite \textit{R. Pulch} and \textit{A. Narayan}, SIAM J. Sci. Comput. 41, No. 4, A2270--A2295 (2019; Zbl 1420.65073) Full Text: DOI arXiv
Dong, Yiqiu; Hansen, Per Christian; Hochstenbach, Michiel E.; Brogaard Riis, Nicolai André Fixing nonconvergence of algebraic iterative reconstruction with an unmatched backprojector. (English) Zbl 1420.65031 SIAM J. Sci. Comput. 41, No. 3, A1822-A1839 (2019). MSC: 65F10 65F15 65F22 15A18 15A60 PDFBibTeX XMLCite \textit{Y. Dong} et al., SIAM J. Sci. Comput. 41, No. 3, A1822--A1839 (2019; Zbl 1420.65031) Full Text: DOI arXiv
Huang, Jinzhi; Jia, Zhongxiao On inner iterations of Jacobi-Davidson type methods for large SVD computations. (English) Zbl 1420.65049 SIAM J. Sci. Comput. 41, No. 3, A1574-A1603 (2019). MSC: 65F15 15A18 65F10 PDFBibTeX XMLCite \textit{J. Huang} and \textit{Z. Jia}, SIAM J. Sci. Comput. 41, No. 3, A1574--A1603 (2019; Zbl 1420.65049) Full Text: DOI arXiv
Xi, Yuanzhe; Li, Ruipeng; Saad, Yousef Fast computation of spectral densities for generalized eigenvalue problems. (English) Zbl 1416.65097 SIAM J. Sci. Comput. 40, No. 4, A2749-A2773 (2018). MSC: 65F15 15A18 65F10 65F50 PDFBibTeX XMLCite \textit{Y. Xi} et al., SIAM J. Sci. Comput. 40, No. 4, A2749--A2773 (2018; Zbl 1416.65097) Full Text: DOI arXiv
Sifuentes, Josef A.; Moskow, Shari Preconditioning methods for thin scattering structures based on asymptotic results. (English) Zbl 1391.65060 SIAM J. Sci. Comput. 40, No. 4, B1007-B1019 (2018). MSC: 65F08 65F10 15A18 47A10 47A55 PDFBibTeX XMLCite \textit{J. A. Sifuentes} and \textit{S. Moskow}, SIAM J. Sci. Comput. 40, No. 4, B1007--B1019 (2018; Zbl 1391.65060) Full Text: DOI
Estrin, Ron; Greif, Chen SPMR: A family of saddle-point minimum residual solvers. (English) Zbl 1448.65022 SIAM J. Sci. Comput. 40, No. 3, A1884-A1914 (2018). MSC: 65F10 65F08 65F25 65F50 15A06 15A18 PDFBibTeX XMLCite \textit{R. Estrin} and \textit{C. Greif}, SIAM J. Sci. Comput. 40, No. 3, A1884--A1914 (2018; Zbl 1448.65022) Full Text: DOI
Kramer, Boris; Gorodetsky, Alex A. System identification via CUR-factored Hankel approximation. (English) Zbl 1383.93022 SIAM J. Sci. Comput. 40, No. 2, A848-A866 (2018). MSC: 93B11 93B30 93B40 93C05 65F99 15A18 PDFBibTeX XMLCite \textit{B. Kramer} and \textit{A. A. Gorodetsky}, SIAM J. Sci. Comput. 40, No. 2, A848--A866 (2018; Zbl 1383.93022) Full Text: DOI
Duersch, Jed A.; Gu, Ming Randomized QR with column pivoting. (English) Zbl 1371.65026 SIAM J. Sci. Comput. 39, No. 4, C263-C291 (2017). MSC: 65F05 65F20 65Y05 PDFBibTeX XMLCite \textit{J. A. Duersch} and \textit{M. Gu}, SIAM J. Sci. Comput. 39, No. 4, C263--C291 (2017; Zbl 1371.65026) Full Text: DOI arXiv
Lischke, Anna; Zayernouri, Mohsen; Karniadakis, George Em A Petrov-Galerkin spectral method of linear complexity for fractional multiterm ODEs on the half line. (English) Zbl 1367.65108 SIAM J. Sci. Comput. 39, No. 3, A922-A946 (2017). MSC: 65L05 65L60 34A30 34A08 PDFBibTeX XMLCite \textit{A. Lischke} et al., SIAM J. Sci. Comput. 39, No. 3, A922--A946 (2017; Zbl 1367.65108) Full Text: DOI
Martinsson, Per-Gunnar; Voronin, Sergey A randomized blocked algorithm for efficiently computing rank-revealing factorizations of matrices. (English) Zbl 1352.65095 SIAM J. Sci. Comput. 38, No. 5, S485-S507 (2016). MSC: 65F05 65F20 PDFBibTeX XMLCite \textit{P.-G. Martinsson} and \textit{S. Voronin}, SIAM J. Sci. Comput. 38, No. 5, S485--S507 (2016; Zbl 1352.65095) Full Text: DOI arXiv
Shen, Jie; Wang, Yingwei Müntz-Galerkin methods and applications to mixed Dirichlet-Neumann boundary value problems. (English) Zbl 1416.65482 SIAM J. Sci. Comput. 38, No. 4, A2357-A2381 (2016). MSC: 65N35 65N15 65N30 65F05 65F30 PDFBibTeX XMLCite \textit{J. Shen} and \textit{Y. Wang}, SIAM J. Sci. Comput. 38, No. 4, A2357--A2381 (2016; Zbl 1416.65482) Full Text: DOI
Benner, Peter; Kürschner, Patrick; Saak, Jens Frequency-limited balanced truncation with low-rank approximations. (English) Zbl 1391.65123 SIAM J. Sci. Comput. 38, No. 1, A471-A499 (2016). MSC: 65F60 15A16 15A18 15A24 93B11 93A15 PDFBibTeX XMLCite \textit{P. Benner} et al., SIAM J. Sci. Comput. 38, No. 1, A471--A499 (2016; Zbl 1391.65123) Full Text: DOI
Bolten, Matthias; Kahl, Karsten; Sokolović, Sonja Multigrid methods for tensor structured Markov chains with low rank approximation. (English) Zbl 1382.65028 SIAM J. Sci. Comput. 38, No. 2, A649-A667 (2016). MSC: 65C40 60J22 60J27 65F10 65F50 65N55 PDFBibTeX XMLCite \textit{M. Bolten} et al., SIAM J. Sci. Comput. 38, No. 2, A649--A667 (2016; Zbl 1382.65028) Full Text: DOI arXiv
Peng, Liqian; Mohseni, Kamran Symplectic model reduction of Hamiltonian systems. (English) Zbl 1330.65193 SIAM J. Sci. Comput. 38, No. 1, A1-A27 (2016). MSC: 65P10 37M15 37J25 PDFBibTeX XMLCite \textit{L. Peng} and \textit{K. Mohseni}, SIAM J. Sci. Comput. 38, No. 1, A1--A27 (2016; Zbl 1330.65193) Full Text: DOI arXiv
Taroudaki, Viktoria; O’Leary, Dianne P. Near-optimal spectral filtering and error estimation for solving ill-posed problems. (English) Zbl 1329.65084 SIAM J. Sci. Comput. 37, No. 6, A2947-A2968 (2015). MSC: 65F22 65F20 PDFBibTeX XMLCite \textit{V. Taroudaki} and \textit{D. P. O'Leary}, SIAM J. Sci. Comput. 37, No. 6, A2947--A2968 (2015; Zbl 1329.65084) Full Text: DOI
Ganesh, M.; Hawkins, S. C. A high performance computing and sensitivity analysis algorithm for stochastic many-particle wave scattering. (English) Zbl 1342.65008 SIAM J. Sci. Comput. 37, No. 3, A1475-A1503 (2015). MSC: 65C30 45F15 65C05 65C35 65R20 68U20 PDFBibTeX XMLCite \textit{M. Ganesh} and \textit{S. C. Hawkins}, SIAM J. Sci. Comput. 37, No. 3, A1475--A1503 (2015; Zbl 1342.65008) Full Text: DOI Link
Chung, Julianne M.; Kilmer, Misha E.; O’Leary, Dianne P. A framework for regularization via operator approximation. (English) Zbl 1320.65058 SIAM J. Sci. Comput. 37, No. 2, B332-B359 (2015). MSC: 65F22 65F20 65F30 94A08 PDFBibTeX XMLCite \textit{J. M. Chung} et al., SIAM J. Sci. Comput. 37, No. 2, B332--B359 (2015; Zbl 1320.65058) Full Text: DOI Link
Wang, Zheng; Lai, Ming-Jun; Lu, Zhaosong; Fan, Wei; Davulcu, Hasan; Ye, Jieping Orthogonal rank-one matrix pursuit for low rank matrix completion. (English) Zbl 1315.65044 SIAM J. Sci. Comput. 37, No. 1, A488-A514 (2015). MSC: 65F30 15A83 65F10 65F20 PDFBibTeX XMLCite \textit{Z. Wang} et al., SIAM J. Sci. Comput. 37, No. 1, A488--A514 (2015; Zbl 1315.65044) Full Text: DOI arXiv
Constantine, Paul G.; Gleich, David F.; Hou, Yangyang; Templeton, Jeremy Model reduction with MapReduce-enabled tall and skinny singular value decomposition. (English) Zbl 1307.65045 SIAM J. Sci. Comput. 36, No. 5, S166-S191 (2014). MSC: 65F20 65M60 35K05 PDFBibTeX XMLCite \textit{P. G. Constantine} et al., SIAM J. Sci. Comput. 36, No. 5, S166--S191 (2014; Zbl 1307.65045) Full Text: DOI arXiv
Ranjbar, Zohreh; Eldén, Lars Solving an ill-posed Cauchy problem for a two-dimensional parabolic PDE with variable coefficients using a preconditioned GMRES method. (English) Zbl 1332.65139 SIAM J. Sci. Comput. 36, No. 5, B868-B886 (2014). MSC: 65M30 35K15 35R25 35R30 65M32 65F10 65F08 PDFBibTeX XMLCite \textit{Z. Ranjbar} and \textit{L. Eldén}, SIAM J. Sci. Comput. 36, No. 5, B868--B886 (2014; Zbl 1332.65139) Full Text: DOI Link
Li, Shengguo; Gu, Ming; Parlett, Beresford N. An improved DQDS algorithm. (English) Zbl 1297.65042 SIAM J. Sci. Comput. 36, No. 3, C290-C308 (2014). MSC: 65F20 65F15 PDFBibTeX XMLCite \textit{S. Li} et al., SIAM J. Sci. Comput. 36, No. 3, C290--C308 (2014; Zbl 1297.65042) Full Text: DOI arXiv
Townsend, Alex; Trefethen, Lloyd N. An extension of Chebfun to two dimensions. (English) Zbl 1300.65010 SIAM J. Sci. Comput. 35, No. 6, C495-C518 (2013). Reviewer: Jesus Illán González (Vigo) MSC: 65D15 65D05 41A10 65K05 65F20 65H05 68N19 PDFBibTeX XMLCite \textit{A. Townsend} and \textit{L. N. Trefethen}, SIAM J. Sci. Comput. 35, No. 6, C495--C518 (2013; Zbl 1300.65010) Full Text: DOI
Chalons, Christophe; Girardin, Mathieu; Kokh, Samuel Large time step and asymptotic preserving numerical schemes for the gas dynamics equations with source terms. (English) Zbl 1284.35262 SIAM J. Sci. Comput. 35, No. 6, A2874-A2902 (2013). MSC: 35L50 35L60 35L65 35C20 76M12 76M45 PDFBibTeX XMLCite \textit{C. Chalons} et al., SIAM J. Sci. Comput. 35, No. 6, A2874--A2902 (2013; Zbl 1284.35262) Full Text: DOI Link
Maclachlan, Scott; Madden, Niall Robust solution of singularly perturbed problems using multigrid methods. (English) Zbl 1290.65097 SIAM J. Sci. Comput. 35, No. 5, A2225-A2254 (2013). Reviewer: Petr Sváček (Praha) MSC: 65N06 65L12 65F10 65N22 65N55 65F08 35B25 35K57 65L11 34E15 PDFBibTeX XMLCite \textit{S. Maclachlan} and \textit{N. Madden}, SIAM J. Sci. Comput. 35, No. 5, A2225--A2254 (2013; Zbl 1290.65097) Full Text: DOI Link
Li, Ruipeng; Saad, Yousef Divide and conquer low-rank preconditioners for symmetric matrices. (English) Zbl 1362.65036 SIAM J. Sci. Comput. 35, No. 4, A2069-A2095 (2013). MSC: 65F08 65F10 65N22 65N55 65Y05 65Y20 PDFBibTeX XMLCite \textit{R. Li} and \textit{Y. Saad}, SIAM J. Sci. Comput. 35, No. 4, A2069--A2095 (2013; Zbl 1362.65036) Full Text: DOI
Liu, Xin; Wen, Zaiwen; Zhang, Yin Limited memory block Krylov subspace optimization for computing dominant singular value decompositions. (English) Zbl 1278.65045 SIAM J. Sci. Comput. 35, No. 3, A1641-A1668 (2013). Reviewer: Juri M. Rappoport (Moskva) MSC: 65F20 65K05 65F15 90C26 PDFBibTeX XMLCite \textit{X. Liu} et al., SIAM J. Sci. Comput. 35, No. 3, A1641--A1668 (2013; Zbl 1278.65045) Full Text: DOI
Martin, Carla D.; Shafer, Richard; Larue, Betsy An order-\(p\) tensor factorization with applications in imaging. (English) Zbl 1273.15032 SIAM J. Sci. Comput. 35, No. 1, A474-A490 (2013). Reviewer: Radek Kucera (Ostrava) MSC: 15A69 65F30 65F05 65F20 65T50 15A23 PDFBibTeX XMLCite \textit{C. D. Martin} et al., SIAM J. Sci. Comput. 35, No. 1, A474--A490 (2013; Zbl 1273.15032) Full Text: DOI
De Sterck, Hans A self-learning algebraic multigrid method for extremal singular triplets and eigenpairs. (English) Zbl 1253.65052 SIAM J. Sci. Comput. 34, No. 4, A2092-A2117 (2012). MSC: 65F15 65F20 65N55 PDFBibTeX XMLCite \textit{H. De Sterck}, SIAM J. Sci. Comput. 34, No. 4, A2092--A2117 (2012; Zbl 1253.65052) Full Text: DOI arXiv
Vannieuwenhoven, Nick; Vandebril, Raf; Meerbergen, Karl A new truncation strategy for the higher-order singular value decomposition. (English) Zbl 1247.65055 SIAM J. Sci. Comput. 34, No. 2, A1027-A1052 (2012). MSC: 65F20 15A69 PDFBibTeX XMLCite \textit{N. Vannieuwenhoven} et al., SIAM J. Sci. Comput. 34, No. 2, A1027--A1052 (2012; Zbl 1247.65055) Full Text: DOI Link
Lafitte, Pauline; Samaey, Giovanni Asymptotic-preserving projective integration schemes for kinetic equations in the diffusion limit. (English) Zbl 1252.82068 SIAM J. Sci. Comput. 34, No. 2, A579-A602 (2012). Reviewer: Dominik Strzałka (Rzeszów) MSC: 82C22 82C40 65M12 65M06 35B25 PDFBibTeX XMLCite \textit{P. Lafitte} and \textit{G. Samaey}, SIAM J. Sci. Comput. 34, No. 2, A579--A602 (2012; Zbl 1252.82068) Full Text: DOI arXiv
Lyon, Mark A fast algorithm for Fourier continuation. (English) Zbl 1255.65253 SIAM J. Sci. Comput. 33, No. 6, 3241-3260 (2011). MSC: 65T40 65T50 42A10 65F20 PDFBibTeX XMLCite \textit{M. Lyon}, SIAM J. Sci. Comput. 33, No. 6, 3241--3260 (2011; Zbl 1255.65253) Full Text: DOI
Betz, Volker; Goddard, Benjamin D. Nonadiabatic transitions through tilted avoided crossings. (English) Zbl 1235.81137 SIAM J. Sci. Comput. 33, No. 5, 2247-2276 (2011). MSC: 81V55 37N20 34E20 PDFBibTeX XMLCite \textit{V. Betz} and \textit{B. D. Goddard}, SIAM J. Sci. Comput. 33, No. 5, 2247--2276 (2011; Zbl 1235.81137) Full Text: DOI arXiv
Peter, Thomas; Potts, Daniel; Tasche, Manfred Nonlinear approximation by sums of exponentials and translates. (English) Zbl 1243.65166 SIAM J. Sci. Comput. 33, No. 4, 1920-1947 (2011). Reviewer: Roza Aceska (Skopje) MSC: 65T40 65D10 41A30 65F20 94A12 62F10 62J05 65C60 PDFBibTeX XMLCite \textit{T. Peter} et al., SIAM J. Sci. Comput. 33, No. 4, 1920--1947 (2011; Zbl 1243.65166) Full Text: DOI
Choi, Sou-Cheng T.; Paige, Christopher C.; Saunders, Michael A. MINRES-QLP: a Krylov subspace method for indefinite or singular symmetric systems. (English) Zbl 1230.65050 SIAM J. Sci. Comput. 33, No. 4, 1810-1836 (2011). MSC: 65F20 65F35 65F50 65F08 65F10 PDFBibTeX XMLCite \textit{S.-C. T. Choi} et al., SIAM J. Sci. Comput. 33, No. 4, 1810--1836 (2011; Zbl 1230.65050) Full Text: DOI arXiv
Du, Kui A simple numerical method for complex geometrical optics solutions to the conductivity equation. (English) Zbl 1236.78001 SIAM J. Sci. Comput. 33, No. 1, 328-341 (2011). Reviewer: Agneta Balint (Timişoara) MSC: 78A05 78M25 65F10 45E10 65N22 65R20 PDFBibTeX XMLCite \textit{K. Du}, SIAM J. Sci. Comput. 33, No. 1, 328--341 (2011; Zbl 1236.78001) Full Text: DOI
Turner, Ian W.; Belward, John A.; Oqielat, Moa’ath N. Error bounds for least squares gradient estimates. (English) Zbl 1215.65027 SIAM J. Sci. Comput. 32, No. 4, 2146-2166 (2010). MSC: 65D05 15A18 65D10 65D25 65F20 65G99 PDFBibTeX XMLCite \textit{I. W. Turner} et al., SIAM J. Sci. Comput. 32, No. 4, 2146--2166 (2010; Zbl 1215.65027) Full Text: DOI
Jia, Zhongxiao; Niu, Datian A refined harmonic Lanczos bidiagonalization method and an implicitly restarted algorithm for computing the smallest singular triplets of large matrices. (English) Zbl 1215.65072 SIAM J. Sci. Comput. 32, No. 2, 714-744 (2010). Reviewer: Adhemar Bultheel (Leuven) MSC: 65F20 65F15 PDFBibTeX XMLCite \textit{Z. Jia} and \textit{D. Niu}, SIAM J. Sci. Comput. 32, No. 2, 714--744 (2010; Zbl 1215.65072) Full Text: DOI arXiv
De Sterck, H.; Manteuffel, T. A.; McCormick, S. F.; Miller, K.; Ruge, J.; Sanders, G. Algebraic multigrid for Markov chains. (English) Zbl 1210.65016 SIAM J. Sci. Comput. 32, No. 2, 544-562 (2010). MSC: 65C40 60J22 65F10 PDFBibTeX XMLCite \textit{H. De Sterck} et al., SIAM J. Sci. Comput. 32, No. 2, 544--562 (2010; Zbl 1210.65016) Full Text: DOI
Abdel-Rehim, Abdou M.; Morgan, Ronald B.; Nicely, Dywayne A.; Wilcox, Walter Deflated and restarted symmetric Lanczos methods for eigenvalues and linear equations with multiple right-hand sides. (English) Zbl 1209.65042 SIAM J. Sci. Comput. 32, No. 1, 129-149 (2010). MSC: 65F15 65F10 15A06 15A18 81V05 65F25 PDFBibTeX XMLCite \textit{A. M. Abdel-Rehim} et al., SIAM J. Sci. Comput. 32, No. 1, 129--149 (2010; Zbl 1209.65042) Full Text: DOI arXiv
Cliffe, K. Andrew; Hall, Edward J. C.; Houston, Paul Adaptive discontinuous Galerkin methods for eigenvalue problems arising in incompressible fluid flows. (English) Zbl 1211.37094 SIAM J. Sci. Comput. 31, No. 6, 4607-4632 (2010). Reviewer: Iliya Iliev (Sofia) MSC: 37M20 37G10 65N12 65N15 65N30 65N50 76E99 PDFBibTeX XMLCite \textit{K. A. Cliffe} et al., SIAM J. Sci. Comput. 31, No. 6, 4607--4632 (2010; Zbl 1211.37094) Full Text: DOI Link
Oseledets, I. V.; Tyrtyshnikov, E. E. Breaking the curse of dimensionality, or how to use SVD in many dimensions. (English) Zbl 1200.65028 SIAM J. Sci. Comput. 31, No. 5, 3744-3759 (2009). MSC: 65F20 15A12 65F10 65F15 15A69 PDFBibTeX XMLCite \textit{I. V. Oseledets} and \textit{E. E. Tyrtyshnikov}, SIAM J. Sci. Comput. 31, No. 5, 3744--3759 (2009; Zbl 1200.65028) Full Text: DOI Link
Brianzi, Paola; Di Benedetto, Fabio; Estatico, Claudio Improvement of space-invariant image deblurring by preconditioned Landweber iterations. (English) Zbl 1163.94302 SIAM J. Sci. Comput. 30, No. 3, 1430-1458 (2008). MSC: 94A08 65F22 65F10 45Q05 15A18 PDFBibTeX XMLCite \textit{P. Brianzi} et al., SIAM J. Sci. Comput. 30, No. 3, 1430--1458 (2008; Zbl 1163.94302) Full Text: DOI Link
Betcke, Timo The generalized singular value decomposition and the method of particular solutions. (English) Zbl 1191.65037 SIAM J. Sci. Comput. 30, No. 3, 1278-1295 (2008). Reviewer: Lyonell Boulton (Edinburgh) MSC: 65F20 65F15 65F22 65N25 PDFBibTeX XMLCite \textit{T. Betcke}, SIAM J. Sci. Comput. 30, No. 3, 1278--1295 (2008; Zbl 1191.65037) Full Text: DOI
Serban, Radu; Homescu, Chris; Petzold, Linda R. The effect of problem perturbations on nonlinear dynamical systems and their reduced-order models. (English) Zbl 1154.65345 SIAM J. Sci. Comput. 29, No. 6, 2621-2643 (2007). MSC: 65L10 34B15 65L70 65L80 34A09 PDFBibTeX XMLCite \textit{R. Serban} et al., SIAM J. Sci. Comput. 29, No. 6, 2621--2643 (2007; Zbl 1154.65345) Full Text: DOI Link
Bader, Brett W.; Schnabel, Robert B. On the performance of tensor methods for solving ill-conditioned problems. (English) Zbl 1154.65329 SIAM J. Sci. Comput. 29, No. 6, 2329-2351 (2007). MSC: 65H10 PDFBibTeX XMLCite \textit{B. W. Bader} and \textit{R. B. Schnabel}, SIAM J. Sci. Comput. 29, No. 6, 2329--2351 (2007; Zbl 1154.65329) Full Text: DOI Link
Virnik, Elena An algebraic multigrid preconditioner for a class of singular M-matrices. (English) Zbl 1155.65037 SIAM J. Sci. Comput. 29, No. 5, 1982-1991 (2007). Reviewer: R. Militaru (Craiova) MSC: 65F35 65N55 65F10 65C40 60J22 PDFBibTeX XMLCite \textit{E. Virnik}, SIAM J. Sci. Comput. 29, No. 5, 1982--1991 (2007; Zbl 1155.65037) Full Text: DOI
Wu, Chin-Tien; Elman, Howard C. Analysis and comparison of geometric and algebraic multigrid for convection-diffusion equations. (English) Zbl 1133.65102 SIAM J. Sci. Comput. 28, No. 6, 2208-2228 (2006). Reviewer: Christian Grossmann (Dresden) MSC: 65N30 65N55 65F10 65N50 65N12 35J25 35B25 PDFBibTeX XMLCite \textit{C.-T. Wu} and \textit{H. C. Elman}, SIAM J. Sci. Comput. 28, No. 6, 2208--2228 (2006; Zbl 1133.65102) Full Text: DOI
Chow, Edmond An aggregation multilevel method using smooth error vectors. (English) Zbl 1099.65032 SIAM J. Sci. Comput. 27, No. 5, 1727-1741 (2006). MSC: 65F10 65N55 65F35 35J25 65N30 65F50 PDFBibTeX XMLCite \textit{E. Chow}, SIAM J. Sci. Comput. 27, No. 5, 1727--1741 (2006; Zbl 1099.65032) Full Text: DOI Link
Farahat, Ayman; LoFaro, Thomas; Miller, Joel C.; Rae, Gregory; Ward, Lesley A. Authority rankings from HITS, PageRank, and SALSA: Existence, uniqueness, and effect of initialization. (English) Zbl 1094.68111 SIAM J. Sci. Comput. 27, No. 4, 1181-1201 (2006). MSC: 68U35 68W40 15A18 68R10 PDFBibTeX XMLCite \textit{A. Farahat} et al., SIAM J. Sci. Comput. 27, No. 4, 1181--1201 (2006; Zbl 1094.68111) Full Text: DOI
Cuyt, Annie; Golub, Gene; Milanfar, Peyman; Verdonk, Brigitte Multidimensional integral inversion, with applications in shape reconstruction. (English) Zbl 1099.65128 SIAM J. Sci. Comput. 27, No. 3, 1058-1070 (2005). Reviewer: Teresa Regińska (Warszawa) MSC: 65R10 44A60 65F20 65D32 41A21 44A15 PDFBibTeX XMLCite \textit{A. Cuyt} et al., SIAM J. Sci. Comput. 27, No. 3, 1058--1070 (2005; Zbl 1099.65128) Full Text: DOI
Govaerts, Willy; Kuznetsov, Yuri A.; Dhooge, Annick Numerical continuation of bifurcations of limit cycles in MATLAB. (English) Zbl 1087.65118 SIAM J. Sci. Comput. 27, No. 1, 231-252 (2005). MSC: 65P30 65Y15 37G15 37M20 34C05 34C23 65L05 PDFBibTeX XMLCite \textit{W. Govaerts} et al., SIAM J. Sci. Comput. 27, No. 1, 231--252 (2005; Zbl 1087.65118) Full Text: DOI
Baglama, James; Reichel, Lothar Augmented implicitly restarted Lanczos bidiagonalization methods. (English) Zbl 1087.65039 SIAM J. Sci. Comput. 27, No. 1, 19-42 (2005). MSC: 65F20 65F10 65F50 PDFBibTeX XMLCite \textit{J. Baglama} and \textit{L. Reichel}, SIAM J. Sci. Comput. 27, No. 1, 19--42 (2005; Zbl 1087.65039) Full Text: DOI
Jahnke, Tobias Long-time-step integrators for almost-adiabatic quantum dynamics. (English) Zbl 1068.65091 SIAM J. Sci. Comput. 25, No. 6, 2145-2164 (2004). Reviewer: R. Militaru (Craiova) MSC: 65L05 65L70 34A30 81Q05 PDFBibTeX XMLCite \textit{T. Jahnke}, SIAM J. Sci. Comput. 25, No. 6, 2145--2164 (2004; Zbl 1068.65091) Full Text: DOI
Han, Bin; Overton, Michael L.; Yu, Thomas P.-Y. Design of Hermite subdivision schemes aided by spectral radius optimization. (English) Zbl 1037.42035 SIAM J. Sci. Comput. 25, No. 2, 643-656 (2003). MSC: 42C40 39B12 15A18 46E35 PDFBibTeX XMLCite \textit{B. Han} et al., SIAM J. Sci. Comput. 25, No. 2, 643--656 (2003; Zbl 1037.42035) Full Text: DOI
Li, Zhilin; Wang, Wei-Cheng; Chern, I-Liang; Lai, Ming-Chih New formulations for interface problems in polar coordinates. (English) Zbl 1040.65087 SIAM J. Sci. Comput. 25, No. 1, 224-245 (2003). Reviewer: Prabhat Kumar Mahanti (Saint John) MSC: 65N06 65N50 35J05 35R05 65F10 PDFBibTeX XMLCite \textit{Z. Li} et al., SIAM J. Sci. Comput. 25, No. 1, 224--245 (2003; Zbl 1040.65087) Full Text: DOI
Baglama, J.; Calvetti, D.; Reichel, L. IRBL: An implicitly restarted Block-Lanczos method for large-scale Hermitian eigenproblems. (English) Zbl 1044.65027 SIAM J. Sci. Comput. 24, No. 5, 1650-1677 (2003). Reviewer: Horst Hollatz (Magdeburg) MSC: 65F15 65F20 65F50 PDFBibTeX XMLCite \textit{J. Baglama} et al., SIAM J. Sci. Comput. 24, No. 5, 1650--1677 (2003; Zbl 1044.65027) Full Text: DOI
Stathopoulos, Andreas; Wu, Kesheng A block orthogonalization procedure with constant synchronization requirements. (English) Zbl 1018.65050 SIAM J. Sci. Comput. 23, No. 6, 2165-2182 (2002). Reviewer: Michael Jung (Dresden) MSC: 65F15 65F25 65F20 65Y05 PDFBibTeX XMLCite \textit{A. Stathopoulos} and \textit{K. Wu}, SIAM J. Sci. Comput. 23, No. 6, 2165--2182 (2002; Zbl 1018.65050) Full Text: DOI
Wienands, Roman; Oosterlee, Cornelis W. On three-grid Fourier analysis for multigrid. (English) Zbl 0992.65137 SIAM J. Sci. Comput. 23, No. 2, 651-671 (2001). MSC: 65N55 65F10 65N12 35J25 65N06 35B25 65F35 PDFBibTeX XMLCite \textit{R. Wienands} and \textit{C. W. Oosterlee}, SIAM J. Sci. Comput. 23, No. 2, 651--671 (2001; Zbl 0992.65137) Full Text: DOI
Hochstenbach, Michiel E. A Jacobi–Davidson type SVD method. (English) Zbl 1002.65048 SIAM J. Sci. Comput. 23, No. 2, 606-628 (2001). Reviewer: B.Döring (Düsseldorf) MSC: 65F20 65F15 65F35 PDFBibTeX XMLCite \textit{M. E. Hochstenbach}, SIAM J. Sci. Comput. 23, No. 2, 606--628 (2001; Zbl 1002.65048) Full Text: DOI
Embree, Mark; Trefethen, Lloyd N. Generalizing eigenvalue theorems to pseudospectra theorems. (English) Zbl 0995.15003 SIAM J. Sci. Comput. 23, No. 2, 583-590 (2001). Reviewer: Jitka Drkošova (Praha) MSC: 15A18 65F10 15A60 PDFBibTeX XMLCite \textit{M. Embree} and \textit{L. N. Trefethen}, SIAM J. Sci. Comput. 23, No. 2, 583--590 (2001; Zbl 0995.15003) Full Text: DOI
De Almeida, Valmor F.; Derby, Jeffrey J. Construction of solution curves for large two-dimensional problems of steady-state flows of incompressible fluids. (English) Zbl 0973.76042 SIAM J. Sci. Comput. 22, No. 1, 285-311 (2000). Reviewer: Mária Lukáčová (Brno) MSC: 76M10 76D05 65H10 PDFBibTeX XMLCite \textit{V. F. De Almeida} and \textit{J. J. Derby}, SIAM J. Sci. Comput. 22, No. 1, 285--311 (2000; Zbl 0973.76042) Full Text: DOI
Hager, William W. Iterative methods for nearly singular linear systems. (English) Zbl 0967.65043 SIAM J. Sci. Comput. 22, No. 2, 747-766 (2000). Reviewer: Emil Minchev (Sofia) MSC: 65F10 65F35 65F22 65F50 65Y20 PDFBibTeX XMLCite \textit{W. W. Hager}, SIAM J. Sci. Comput. 22, No. 2, 747--766 (2000; Zbl 0967.65043) Full Text: DOI
Simon, Horst D.; Zha, Hongyuan Low-rank matrix approximation using the Lanczos bidiagonalization process with applications. (English) Zbl 0962.65038 SIAM J. Sci. Comput. 21, No. 6, 2257-2274 (2000). Reviewer: Miloslav Znojil (Řež) MSC: 65F20 65F50 PDFBibTeX XMLCite \textit{H. D. Simon} and \textit{H. Zha}, SIAM J. Sci. Comput. 21, No. 6, 2257--2274 (2000; Zbl 0962.65038) Full Text: DOI
Sirotkin, V.; Tarvainen, P. Overlapping Schwarz methods for a singularly perturbed semilinear elliptic problem and their parallel implementation. (English) Zbl 0958.65137 SIAM J. Sci. Comput. 21, No. 4, 1587-1608 (1999). Reviewer: Michael Sever (Jerusalem) MSC: 65N55 65H10 65N06 35J65 35B25 PDFBibTeX XMLCite \textit{V. Sirotkin} and \textit{P. Tarvainen}, SIAM J. Sci. Comput. 21, No. 4, 1587--1608 (2000; Zbl 0958.65137) Full Text: DOI
Hegland, Markus; Kahn, Margaret; Osborne, Michael A parallel algorithm for the reduction to tridiagonal form for eigendecomposition. (English) Zbl 0949.65033 SIAM J. Sci. Comput. 21, No. 3, 987-1005 (1999). Reviewer: L.Elsner (Bielefeld) MSC: 65F15 65F20 65Y05 65F30 PDFBibTeX XMLCite \textit{M. Hegland} et al., SIAM J. Sci. Comput. 21, No. 3, 987--1005 (1999; Zbl 0949.65033) Full Text: DOI
Zha, Hongyuan; Simon, Horst D. On updating problems in latent semantic indexing. (English) Zbl 0952.65034 SIAM J. Sci. Comput. 21, No. 2, 782-791 (1999). Reviewer: O.Vaarmann (Tallinn) MSC: 65F20 68U15 68T35 68P10 65F15 PDFBibTeX XMLCite \textit{H. Zha} and \textit{H. D. Simon}, SIAM J. Sci. Comput. 21, No. 2, 782--791 (1999; Zbl 0952.65034) Full Text: DOI
Stewart, G. W. The QLP approximation to the singular value decomposition. (English) Zbl 0939.65062 SIAM J. Sci. Comput. 20, No. 4, 1336-1348 (1999). Reviewer: H.Matthies (Braunschweig) MSC: 65F20 65F05 PDFBibTeX XMLCite \textit{G. W. Stewart}, SIAM J. Sci. Comput. 20, No. 4, 1336--1348 (1999; Zbl 0939.65062) Full Text: DOI
Quintana-Ortí, Gregorio; Quintana-Ortí, Enrique S.; Petitet, Antoine Efficient solution of the rank-deficient linear least squares problem. (English) Zbl 0930.65038 SIAM J. Sci. Comput. 20, No. 3, 1155-1163 (1999). Reviewer: O.Vaarmann (Tallinn) MSC: 65F20 65F10 65F25 65Y15 PDFBibTeX XMLCite \textit{G. Quintana-Ortí} et al., SIAM J. Sci. Comput. 20, No. 3, 1155--1163 (1999; Zbl 0930.65038) Full Text: DOI
Yarvin, N.; Rokhlin, V. Generalized Gaussian quadratures and singular value decompositions of integral operators. (English) Zbl 0932.65020 SIAM J. Sci. Comput. 20, No. 2, 699-718 (1999). Reviewer: Heiner Mühlig (Dresden) MSC: 65D32 41A55 47G10 PDFBibTeX XMLCite \textit{N. Yarvin} and \textit{V. Rokhlin}, SIAM J. Sci. Comput. 20, No. 2, 699--718 (1999; Zbl 0932.65020) Full Text: DOI
Chen, Ke On a class of preconditioning methods for dense linear systems from boundary elements. (English) Zbl 0924.65037 SIAM J. Sci. Comput. 20, No. 2, 684-698 (1999). Reviewer: Juan Pedro Milaszewicz (Ioannina) MSC: 65F35 65N38 65R20 65F10 35J25 45E10 PDFBibTeX XMLCite \textit{K. Chen}, SIAM J. Sci. Comput. 20, No. 2, 684--698 (1999; Zbl 0924.65037) Full Text: DOI
Fiard, J. M.; Manteuffel, T. A.; McCormick, S. F. First-order system least squares (FOSLS) for convection-diffusion problems: Numerical results. (English) Zbl 0911.65108 SIAM J. Sci. Comput. 19, No. 6, 1958-1979 (1998). Reviewer: G.Hedstrom (Livermore) MSC: 65N30 35B25 65N50 35J25 65F10 PDFBibTeX XMLCite \textit{J. M. Fiard} et al., SIAM J. Sci. Comput. 19, No. 6, 1958--1979 (1998; Zbl 0911.65108) Full Text: DOI
Layton, W. J.; Maubach, J. M.; Rabier, P. J. Robustness of an elementwise parallel finite element method for convection-diffusion problems. (English) Zbl 0916.65107 SIAM J. Sci. Comput. 19, No. 6, 1870-1891 (1998). Reviewer: P.Burda (Praha) MSC: 65N30 35B25 35J25 65F10 65Y05 65N12 PDFBibTeX XMLCite \textit{W. J. Layton} et al., SIAM J. Sci. Comput. 19, No. 6, 1870--1891 (1998; Zbl 0916.65107) Full Text: DOI
Washio, T.; Oosterlee, C. W. Flexible multiple semicoarsening for three-dimensional singularly perturbed problems. (English) Zbl 0913.65110 SIAM J. Sci. Comput. 19, No. 5, 1646-1666 (1998). Reviewer: S.F.McCormick (Boulder) MSC: 65N55 65N06 65N30 35B25 35J25 65F10 65F35 65Y05 PDFBibTeX XMLCite \textit{T. Washio} and \textit{C. W. Oosterlee}, SIAM J. Sci. Comput. 19, No. 5, 1646--1666 (1998; Zbl 0913.65110) Full Text: DOI
Neytcheva, Maya G.; Vassilevski, Panayot S. Preconditioning of indefinite and almost singular finite element elliptic equations. (English) Zbl 0955.65083 SIAM J. Sci. Comput. 19, No. 5, 1471-1485 (1998). MSC: 65N30 65F10 65F35 65N55 35J25 65F15 PDFBibTeX XMLCite \textit{M. G. Neytcheva} and \textit{P. S. Vassilevski}, SIAM J. Sci. Comput. 19, No. 5, 1471--1485 (1998; Zbl 0955.65083) Full Text: DOI
Schulz, Volker H.; Bock, Hans Georg; Steinbach, Marc C. Exploiting invariants in the numerical solution of multipoint boundary value problems for DAE. (English) Zbl 0947.65096 SIAM J. Sci. Comput. 19, No. 2, 440-467 (1998). Reviewer: A.Dishliev (Sofia) MSC: 65L80 70F10 34A09 65L10 65L60 PDFBibTeX XMLCite \textit{V. H. Schulz} et al., SIAM J. Sci. Comput. 19, No. 2, 440--467 (1998; Zbl 0947.65096) Full Text: DOI
Oosterlee, C. W.; Washio, T. An evaluation of parallel multigrid as a solver and a preconditioner for singularly perturbed problems. (English) Zbl 0913.65109 SIAM J. Sci. Comput. 19, No. 1, 87-110 (1998). Reviewer: S.F.McCormick (Boulder) MSC: 65N55 65Y05 35J05 35J25 65F10 65N30 65N12 65F35 35B25 PDFBibTeX XMLCite \textit{C. W. Oosterlee} and \textit{T. Washio}, SIAM J. Sci. Comput. 19, No. 1, 87--110 (1998; Zbl 0913.65109) Full Text: DOI
Lumsdaine, Andrew; Wu, Deyun Spectra and pseudospectra of waveform relaxation operators. (English) Zbl 0880.65010 SIAM J. Sci. Comput. 18, No. 1, 286-304 (1997). Reviewer: Myron Sussman (Bethel Park) MSC: 65F10 65M70 15A18 65L60 65N35 PDFBibTeX XMLCite \textit{A. Lumsdaine} and \textit{D. Wu}, SIAM J. Sci. Comput. 18, No. 1, 286--304 (1997; Zbl 0880.65010) Full Text: DOI
Kunkel, Peter; Mehrmann, Volker; Rath, Werner; Weickert, Jörg A new software package for linear differential-algebraic equations. (English) Zbl 0868.65041 SIAM J. Sci. Comput. 18, No. 1, 115-138 (1997). Reviewer: P.Y.Yalamov (Russe) MSC: 65L05 34A09 34A34 34-04 65Y15 PDFBibTeX XMLCite \textit{P. Kunkel} et al., SIAM J. Sci. Comput. 18, No. 1, 115--138 (1997; Zbl 0868.65041) Full Text: DOI
Balle, Susanne M.; Pedersen, Palle M. SVD computations on the connection machine CM-5/CM-5E: Implementation and accuracy. (English) Zbl 0891.65037 SIAM J. Sci. Comput. 18, No. 5, 1462-1478 (1997). Reviewer: H.Hollatz (Magdeburg) MSC: 65F20 65F15 65Y05 PDFBibTeX XMLCite \textit{S. M. Balle} and \textit{P. M. Pedersen}, SIAM J. Sci. Comput. 18, No. 5, 1462--1478 (1997; Zbl 0891.65037) Full Text: DOI
von Matt, Urs The orthogonal qd-algorithm. (English) Zbl 0895.65014 SIAM J. Sci. Comput. 18, No. 4, 1163-1186 (1997). Reviewer: F.Luban (Bucureşti) MSC: 65F20 65F15 PDFBibTeX XMLCite \textit{U. von Matt}, SIAM J. Sci. Comput. 18, No. 4, 1163--1186 (1997; Zbl 0895.65014) Full Text: DOI
Drmač, Zlatko Implementation of Jacobi rotations for accurate singular value computation in floating point arithmetic. (English) Zbl 0894.65016 SIAM J. Sci. Comput. 18, No. 4, 1200-1222 (1997). Reviewer: F.Luban (Bucureşti) MSC: 65F15 65G50 65F20 PDFBibTeX XMLCite \textit{Z. Drmač}, SIAM J. Sci. Comput. 18, No. 4, 1200--1222 (1997; Zbl 0894.65016) Full Text: DOI
Fierro, R. D.; Golub, G. H.; Hansen, P. C.; O’Leary, D. P. Regularization by truncated total least squares. (English) Zbl 0891.65040 SIAM J. Sci. Comput. 18, No. 4, 1223-1241 (1997). Reviewer: H.Hollatz (Magdeburg) MSC: 65F20 PDFBibTeX XMLCite \textit{R. D. Fierro} et al., SIAM J. Sci. Comput. 18, No. 4, 1223--1241 (1997; Zbl 0891.65040) Full Text: DOI
Garbey, Marc A Schwarz alternating procedure for singular perturbation problems. (English) Zbl 0865.65087 SIAM J. Sci. Comput. 17, No. 5, 1175-1201 (1996). Reviewer: R.D.Grigorieff (Berlin) MSC: 65N55 65F10 65N06 80A25 35B25 35J25 35J40 PDFBibTeX XMLCite \textit{M. Garbey}, SIAM J. Sci. Comput. 17, No. 5, 1175--1201 (1996; Zbl 0865.65087) Full Text: DOI
Zhu, Yimin; Katz, I. Norman A parallel implementation of the \(p\)-version of the finite element method. (English) Zbl 0857.65113 SIAM J. Sci. Comput. 17, No. 5, 1040-1067 (1996). Reviewer: C.I.Gheorghiu (Cluj-Napoca) MSC: 65N30 65N12 65Y05 35J05 65F10 65F35 PDFBibTeX XMLCite \textit{Y. Zhu} and \textit{I. N. Katz}, SIAM J. Sci. Comput. 17, No. 5, 1040--1067 (1996; Zbl 0857.65113) Full Text: DOI
Gu, Ming; Eisenstat, Stanley C. Efficient algorithms for computing a strong rank-revealing QR factorization. (English) Zbl 0858.65044 SIAM J. Sci. Comput. 17, No. 4, 848-869 (1996). Reviewer: N.Köckler (Paderborn) MSC: 65F25 65F20 65F35 PDFBibTeX XMLCite \textit{M. Gu} and \textit{S. C. Eisenstat}, SIAM J. Sci. Comput. 17, No. 4, 848--869 (1996; Zbl 0858.65044) Full Text: DOI Link
Bramley, R.; Winnicka, B. Solving linear inequalities in least squares sense. (English) Zbl 0844.65024 SIAM J. Sci. Comput. 17, No. 1, 275-286 (1996). Reviewer: A.Swift (Palmerston North) MSC: 65F10 15A39 90C05 65F20 65F30 65K05 PDFBibTeX XMLCite \textit{R. Bramley} and \textit{B. Winnicka}, SIAM J. Sci. Comput. 17, No. 1, 275--286 (1996; Zbl 0844.65024) Full Text: DOI
Hansen, Per Christian Test matrices for regularization methods. (English) Zbl 0820.65020 SIAM J. Sci. Comput. 16, No. 2, 506-512 (1995). Reviewer: H.Hollatz (Magdeburg) MSC: 65F30 65F20 PDFBibTeX XMLCite \textit{P. C. Hansen}, SIAM J. Sci. Comput. 16, No. 2, 506--512 (1995; Zbl 0820.65020) Full Text: DOI
Li, Zi-Cai The Schwarz alternating method for singularity problems. (English) Zbl 0813.65129 SIAM J. Sci. Comput. 15, No. 5, 1064-1082 (1994). Reviewer: R.Blaheta (Ostrava) MSC: 65N55 65N30 74S05 65N12 65F10 35J25 74R99 PDFBibTeX XMLCite \textit{Z.-C. Li}, SIAM J. Sci. Comput. 15, No. 5, 1064--1082 (1994; Zbl 0813.65129) Full Text: DOI