Zheng, QingQing Domain decomposition based preconditioner combined local low-rank approximation with global corrections. (English) Zbl 07537393 Comput. Math. Appl. 114, 41-46 (2022). MSC: 65F50 65F10 65F08 65F35 65Y05 PDF BibTeX XML Cite \textit{Q. Zheng}, Comput. Math. Appl. 114, 41--46 (2022; Zbl 07537393) Full Text: DOI OpenURL
Oseledets, Ivan; Fanaskov, Vladimir Direct optimization of BPX preconditioners. (English) Zbl 1482.65047 J. Comput. Appl. Math. 402, Article ID 113811, 13 p. (2022). MSC: 65F08 65M55 PDF BibTeX XML Cite \textit{I. Oseledets} and \textit{V. Fanaskov}, J. Comput. Appl. Math. 402, Article ID 113811, 13 p. (2022; Zbl 1482.65047) Full Text: DOI OpenURL
Kushida, Noriyuki; Okuda, Hiroshi Iterative approximation of preconditioning matrices through Krylov-type solver iterations. (English) Zbl 07446694 Int. J. Comput. Methods 18, No. 8, Article ID 2150027, 26 p. (2021). MSC: 65-XX 76-XX PDF BibTeX XML Cite \textit{N. Kushida} and \textit{H. Okuda}, Int. J. Comput. Methods 18, No. 8, Article ID 2150027, 26 p. (2021; Zbl 07446694) Full Text: DOI OpenURL
Carr, Arielle; de Sturler, Eric; Gugercin, Serkan Preconditioning parametrized linear systems. (English) Zbl 07364354 SIAM J. Sci. Comput. 43, No. 3, A2242-A2267 (2021). MSC: 65F10 PDF BibTeX XML Cite \textit{A. Carr} et al., SIAM J. Sci. Comput. 43, No. 3, A2242--A2267 (2021; Zbl 07364354) Full Text: DOI arXiv OpenURL
Zheng, Qingqing; Xi, Yuanzhe; Saad, Yousef A power Schur complement low-rank correction preconditioner for general sparse linear systems. (English) Zbl 07340707 SIAM J. Matrix Anal. Appl. 42, No. 2, 659-682 (2021). MSC: 65F10 PDF BibTeX XML Cite \textit{Q. Zheng} et al., SIAM J. Matrix Anal. Appl. 42, No. 2, 659--682 (2021; Zbl 07340707) Full Text: DOI arXiv OpenURL
de Almeida, Moisés Ceni; da Cruz, Julia Sekiguchi; Goldfeld, Paulo; Carvalho, Luiz Mariano; Souza, Michael Supporting theory for a block approximate inverse preconditioner. (English) Zbl 1460.65030 Linear Algebra Appl. 614, 325-342 (2021). MSC: 65F08 65F10 65F50 65Y05 65Y10 PDF BibTeX XML Cite \textit{M. C. de Almeida} et al., Linear Algebra Appl. 614, 325--342 (2021; Zbl 1460.65030) Full Text: DOI OpenURL
Singh, Navneet Pratap; Ahuja, Kapil Preconditioned linear solves for parametric model order reduction. (English) Zbl 1480.65076 Int. J. Comput. Math. 97, No. 7, 1484-1502 (2020). MSC: 65F10 65F08 93B11 PDF BibTeX XML Cite \textit{N. P. Singh} and \textit{K. Ahuja}, Int. J. Comput. Math. 97, No. 7, 1484--1502 (2020; Zbl 1480.65076) Full Text: DOI arXiv OpenURL
Bui, Quan M.; Osei-Kuffuor, Daniel; Castelletto, Nicola; White, Joshua A. A scalable multigrid reduction framework for multiphase poromechanics of heterogeneous media. (English) Zbl 1435.65153 SIAM J. Sci. Comput. 42, No. 2, B379-B396 (2020). MSC: 65M55 76S05 74F10 76T99 PDF BibTeX XML Cite \textit{Q. M. Bui} et al., SIAM J. Sci. Comput. 42, No. 2, B379--B396 (2020; Zbl 1435.65153) Full Text: DOI arXiv OpenURL
Bernaschi, Massimo; Carrozzo, Mauro; Franceschini, Andrea; Janna, Carlo A dynamic pattern factored sparse approximate inverse preconditioner on graphics processing units. (English) Zbl 1420.65020 SIAM J. Sci. Comput. 41, No. 3, C139-C160 (2019). MSC: 65F08 65F50 68W10 PDF BibTeX XML Cite \textit{M. Bernaschi} et al., SIAM J. Sci. Comput. 41, No. 3, C139--C160 (2019; Zbl 1420.65020) Full Text: DOI OpenURL
Haber, Aleksandar; Verhaegen, Michel Sparsity preserving optimal control of discretized PDE systems. (English) Zbl 1440.49038 Comput. Methods Appl. Mech. Eng. 335, 610-630 (2018). MSC: 49M25 65M06 65M60 PDF BibTeX XML Cite \textit{A. Haber} and \textit{M. Verhaegen}, Comput. Methods Appl. Mech. Eng. 335, 610--630 (2018; Zbl 1440.49038) Full Text: DOI arXiv OpenURL
Dillon, Geoffrey; Kalantzis, Vassilis; Xi, Yuanzhe; Saad, Yousef A hierarchical low rank Schur complement preconditioner for indefinite linear systems. (English) Zbl 1392.65027 SIAM J. Sci. Comput. 40, No. 4, A2234-A2252 (2018). MSC: 65F08 65F10 65F50 65N55 65Y05 PDF BibTeX XML Cite \textit{G. Dillon} et al., SIAM J. Sci. Comput. 40, No. 4, A2234--A2252 (2018; Zbl 1392.65027) Full Text: DOI OpenURL
Franceschini, Andrea; Paludetto Magri, Victor Antonio; Ferronato, Massimiliano; Janna, Carlo A robust multilevel approximate inverse preconditioner for symmetric positive definite matrices. (English) Zbl 1383.65019 SIAM J. Matrix Anal. Appl. 39, No. 1, 123-147 (2018). MSC: 65F08 65F10 65Y05 PDF BibTeX XML Cite \textit{A. Franceschini} et al., SIAM J. Matrix Anal. Appl. 39, No. 1, 123--147 (2018; Zbl 1383.65019) Full Text: DOI OpenURL
Choudhary, Rajendra; Ahuja, Kapil Stability analysis of bilinear iterative rational Krylov algorithm. (English) Zbl 1377.65069 Linear Algebra Appl. 538, 56-88 (2018). MSC: 65K10 93C05 65P10 93D25 PDF BibTeX XML Cite \textit{R. Choudhary} and \textit{K. Ahuja}, Linear Algebra Appl. 538, 56--88 (2018; Zbl 1377.65069) Full Text: DOI arXiv OpenURL
Gower, Robert M.; Richtárik, Peter Randomized quasi-Newton updates are linearly convergent matrix inversion algorithms. (English) Zbl 1379.65016 SIAM J. Matrix Anal. Appl. 38, No. 4, 1380-1409 (2017). MSC: 65F05 65F10 65F08 PDF BibTeX XML Cite \textit{R. M. Gower} and \textit{P. Richtárik}, SIAM J. Matrix Anal. Appl. 38, No. 4, 1380--1409 (2017; Zbl 1379.65016) Full Text: DOI arXiv OpenURL
Li, Ruipeng; Saad, Yousef Low-rank correction methods for algebraic domain decomposition preconditioners. (English) Zbl 1371.65029 SIAM J. Matrix Anal. Appl. 38, No. 3, 807-828 (2017). MSC: 65F08 65F10 65Y05 65F50 65N55 65F25 35J05 74B05 PDF BibTeX XML Cite \textit{R. Li} and \textit{Y. Saad}, SIAM J. Matrix Anal. Appl. 38, No. 3, 807--828 (2017; Zbl 1371.65029) Full Text: DOI arXiv OpenURL
Jia, Zhongxiao; Kang, Wenjie A residual based sparse approximate inverse preconditioning procedure for large sparse linear systems. (English) Zbl 1449.65044 Numer. Linear Algebra Appl. 24, No. 2, e2080, 13 p. (2017). MSC: 65F08 65F50 PDF BibTeX XML Cite \textit{Z. Jia} and \textit{W. Kang}, Numer. Linear Algebra Appl. 24, No. 2, e2080, 13 p. (2017; Zbl 1449.65044) Full Text: DOI arXiv OpenURL
Haber, Aleksandar; Verhaegen, Michel Sparse solution of the Lyapunov equation for large-scale interconnected systems. (English) Zbl 1371.93029 Automatica 73, 256-268 (2016). MSC: 93A15 93C05 93A14 PDF BibTeX XML Cite \textit{A. Haber} and \textit{M. Verhaegen}, Automatica 73, 256--268 (2016; Zbl 1371.93029) Full Text: DOI arXiv OpenURL
Chehab, Jean-Paul; Raydan, Marcos Geometrical inverse preconditioning for symmetric positive definite matrices. (English) Zbl 1360.65093 Mathematics 4, No. 3, Paper No. 46, 20 p. (2016). MSC: 65F08 PDF BibTeX XML Cite \textit{J.-P. Chehab} and \textit{M. Raydan}, Mathematics 4, No. 3, Paper No. 46, 20 p. (2016; Zbl 1360.65093) Full Text: DOI arXiv OpenURL
Bu, Yiming; Carpentieri, Bruno; Shen, Zhaoli; Huang, Ting-Zhu A hybrid recursive multilevel incomplete factorization preconditioner for solving general linear systems. (English) Zbl 1336.65031 Appl. Numer. Math. 104, 141-157 (2016). MSC: 65F08 65F10 PDF BibTeX XML Cite \textit{Y. Bu} et al., Appl. Numer. Math. 104, 141--157 (2016; Zbl 1336.65031) Full Text: DOI arXiv Link OpenURL
Xi, Yuanzhe; Li, Ruipeng; Saad, Yousef An algebraic multilevel preconditioner with low-rank corrections for sparse symmetric matrices. (English) Zbl 1376.65036 SIAM J. Matrix Anal. Appl. 37, No. 1, 235-259 (2016). MSC: 65F08 65Y05 65Y20 65N22 65N55 PDF BibTeX XML Cite \textit{Y. Xi} et al., SIAM J. Matrix Anal. Appl. 37, No. 1, 235--259 (2016; Zbl 1376.65036) Full Text: DOI OpenURL
Janna, Carlo; Ferronato, Massimiliano; Sartoretto, Flavio; Gambolati, Giuseppe FSAIPACK: a software package for high-performance factored sparse approximate inverse preconditioning. (English) Zbl 1369.65052 ACM Trans. Math. Softw. 41, No. 2, Article No. 10, 26 p. (2015). MSC: 65F08 65F50 65Y15 PDF BibTeX XML Cite \textit{C. Janna} et al., ACM Trans. Math. Softw. 41, No. 2, Article No. 10, 26 p. (2015; Zbl 1369.65052) Full Text: DOI OpenURL
Khaz’ali, Ali Reza; Rasaei, Mohammad Reza; Moghadasi, Jamshid Mixed precision parallel preconditioner and linear solver for compositional reservoir simulation. (English) Zbl 1392.65033 Comput. Geosci. 18, No. 5, 729-746 (2014). MSC: 65F08 65M22 65Y05 PDF BibTeX XML Cite \textit{A. R. Khaz'ali} et al., Comput. Geosci. 18, No. 5, 729--746 (2014; Zbl 1392.65033) Full Text: DOI OpenURL
Oyarzun, G.; Borrell, R.; Gorobets, A.; Oliva, A. MPI-CUDA sparse matrix-vector multiplication for the conjugate gradient method with an approximate inverse preconditioner. (English) Zbl 1390.65038 Comput. Fluids 92, 244-252 (2014). MSC: 65F10 65F08 65F50 65Y10 PDF BibTeX XML Cite \textit{G. Oyarzun} et al., Comput. Fluids 92, 244--252 (2014; Zbl 1390.65038) Full Text: DOI OpenURL
González, Luis; Suárez, Antonio; Rodríguez, Eduardo A generalization of the optimal diagonal approximate inverse preconditioner. (English) Zbl 1368.65040 Comput. Math. Appl. 66, No. 12, 2433-2445 (2014). MSC: 65F08 65F10 65F50 PDF BibTeX XML Cite \textit{L. González} et al., Comput. Math. Appl. 66, No. 12, 2433--2445 (2014; Zbl 1368.65040) Full Text: DOI OpenURL
Roberts, Jeremy A.; Forget, Benoit Multigroup diffusion preconditioners for multiplying fixed-source transport problems. (English) Zbl 1351.82124 J. Comput. Phys. 274, 455-472 (2014). MSC: 82D75 82C80 65F08 PDF BibTeX XML Cite \textit{J. A. Roberts} and \textit{B. Forget}, J. Comput. Phys. 274, 455--472 (2014; Zbl 1351.82124) Full Text: DOI Link OpenURL
González, Luis; Suárez, Antonio Improving approximate inverses based on Frobenius norm minimization. (English) Zbl 1288.15004 Appl. Math. Comput. 219, No. 17, 9363-9371 (2013). MSC: 15A09 15A60 PDF BibTeX XML Cite \textit{L. González} and \textit{A. Suárez}, Appl. Math. Comput. 219, No. 17, 9363--9371 (2013; Zbl 1288.15004) Full Text: DOI Link OpenURL
Jia, Zhongxiao; Zhang, Qian Robust dropping criteria for F-norm minimization based sparse approximate inverse preconditioning. (English) Zbl 1284.65048 BIT 53, No. 4, 959-985 (2013). Reviewer: R. P. Tewarson (Stony Brook) MSC: 65F08 65F50 PDF BibTeX XML Cite \textit{Z. Jia} and \textit{Q. Zhang}, BIT 53, No. 4, 959--985 (2013; Zbl 1284.65048) Full Text: DOI arXiv OpenURL
González, Luis; Suárez, Antonio; García, Dolores Geometrical and spectral properties of the orthogonal projections of the identity. (English) Zbl 1268.15019 J. Appl. Math. 2013, Article ID 435730, 8 p. (2013). MSC: 15A42 15B10 15B57 15B48 PDF BibTeX XML Cite \textit{L. González} et al., J. Appl. Math. 2013, Article ID 435730, 8 p. (2013; Zbl 1268.15019) Full Text: DOI OpenURL
Ferronato, Massimiliano Preconditioning for sparse linear systems at the dawn of the 21st century: history, current developments, and future perspectives. (English) Zbl 1264.65037 ISRN Appl. Math. 2012, Article ID 127647, 49 p. (2012). MSC: 65F08 65F10 65-03 01A61 65-02 PDF BibTeX XML Cite \textit{M. Ferronato}, ISRN Appl. Math. 2012, Article ID 127647, 49 p. (2012; Zbl 1264.65037) Full Text: DOI OpenURL
Soleymani, F. A rapid numerical algorithm to compute matrix inversion. (English) Zbl 1253.65051 Int. J. Math. Math. Sci. 2012, Article ID 134653, 11 p. (2012). MSC: 65F10 65F08 15A09 PDF BibTeX XML Cite \textit{F. Soleymani}, Int. J. Math. Math. Sci. 2012, Article ID 134653, 11 p. (2012; Zbl 1253.65051) Full Text: DOI OpenURL
Helfenstein, Rudi; Koko, Jonas Parallel preconditioned conjugate gradient algorithm on GPU. (English) Zbl 1245.65034 J. Comput. Appl. Math. 236, No. 15, 3584-3590 (2012). MSC: 65F08 65F10 65Y05 35J05 65N06 65N30 PDF BibTeX XML Cite \textit{R. Helfenstein} and \textit{J. Koko}, J. Comput. Appl. Math. 236, No. 15, 3584--3590 (2012; Zbl 1245.65034) Full Text: DOI OpenURL
Ferronato, M.; Janna, C.; Pini, G. Shifted FSAI preconditioners for the efficient parallel solution of non-linear groundwater flow models. (English) Zbl 1242.76118 Int. J. Numer. Methods Eng. 89, No. 13, 1707-1719 (2012). MSC: 76M10 76S05 65Y05 PDF BibTeX XML Cite \textit{M. Ferronato} et al., Int. J. Numer. Methods Eng. 89, No. 13, 1707--1719 (2012; Zbl 1242.76118) Full Text: DOI OpenURL
Bebendorf, Mario; Fischer, Thomas On the purely algebraic data-sparse approximation of the inverse and the triangular factors of sparse matrices. (English) Zbl 1249.65055 Numer. Linear Algebra Appl. 18, No. 1, 105-122 (2011). MSC: 65F05 65F50 65Y20 65F35 PDF BibTeX XML Cite \textit{M. Bebendorf} and \textit{T. Fischer}, Numer. Linear Algebra Appl. 18, No. 1, 105--122 (2011; Zbl 1249.65055) Full Text: DOI OpenURL
Lee, Eun-Joo; Zhang, Jun Factored approximate inverse preconditioners with dynamic sparsity patterns. (English) Zbl 1228.65047 Comput. Math. Appl. 62, No. 1, 235-242 (2011). MSC: 65F08 PDF BibTeX XML Cite \textit{E.-J. Lee} and \textit{J. Zhang}, Comput. Math. Appl. 62, No. 1, 235--242 (2011; Zbl 1228.65047) Full Text: DOI OpenURL
Cui, Xiaoke; Hayami, Ken; Yin, Jun-Feng Greville’s method for preconditioning least squares problems. (English) Zbl 1233.65027 Adv. Comput. Math. 35, No. 2-4, 243-269 (2011). Reviewer: Tzvetan Semerdjiev (Sofia) MSC: 65F08 65F20 65F10 PDF BibTeX XML Cite \textit{X. Cui} et al., Adv. Comput. Math. 35, No. 2--4, 243--269 (2011; Zbl 1233.65027) Full Text: DOI OpenURL
Lazarov, B. S.; Sigmund, O. Factorized parallel preconditioner for the saddle point problem. (English) Zbl 1228.65046 Int. J. Numer. Methods Biomed. Eng. 27, No. 9, 1398-1410 (2011). MSC: 65F08 65F10 74B05 74S05 PDF BibTeX XML Cite \textit{B. S. Lazarov} and \textit{O. Sigmund}, Int. J. Numer. Methods Biomed. Eng. 27, No. 9, 1398--1410 (2011; Zbl 1228.65046) Full Text: DOI OpenURL
Byckling, Mikko; Huhtanen, Marko Approximate factoring of the inverse. (English) Zbl 1222.65027 Numer. Math. 117, No. 3, 507-528 (2011). Reviewer: Dietrich Braess (Bochum) MSC: 65F08 65F10 65F05 PDF BibTeX XML Cite \textit{M. Byckling} and \textit{M. Huhtanen}, Numer. Math. 117, No. 3, 507--528 (2011; Zbl 1222.65027) Full Text: DOI OpenURL
Calgaro, Caterina; Chehab, Jean-Paul; Saad, Yousef Incremental incomplete LU factorizations with applications. (English) Zbl 1240.65091 Numer. Linear Algebra Appl. 17, No. 5, 811-837 (2010). MSC: 65F08 65F05 PDF BibTeX XML Cite \textit{C. Calgaro} et al., Numer. Linear Algebra Appl. 17, No. 5, 811--837 (2010; Zbl 1240.65091) Full Text: DOI HAL OpenURL
El Maliki, A.; Guénette, R. Efficient preconditioning techniques for finite-element quadratic discretization arising from linearized incompressible Navier-Stokes equations. (English) Zbl 1425.76059 Int. J. Numer. Methods Fluids 63, No. 12, 1394-1420 (2010). MSC: 76D05 76M10 PDF BibTeX XML Cite \textit{A. El Maliki} and \textit{R. Guénette}, Int. J. Numer. Methods Fluids 63, No. 12, 1394--1420 (2010; Zbl 1425.76059) Full Text: DOI OpenURL
Castillo, Zenaida; Xie, Xueying; Sorensen, Danny C.; Embree, Mark; Pasquali, Matteo Parallel solution of large-scale free surface viscoelastic flows via sparse approximate inverse preconditioning. (English) Zbl 1274.76095 J. Non-Newton. Fluid Mech. 157, No. 1-2, 44-54 (2009). MSC: 76A10 76M10 65Y05 PDF BibTeX XML Cite \textit{Z. Castillo} et al., J. Non-Newton. Fluid Mech. 157, No. 1--2, 44--54 (2009; Zbl 1274.76095) Full Text: DOI Link Link OpenURL
Jia, Zhongxiao; Zhu, Baochen A power sparse approximate inverse preconditioning procedure for large sparse linear systems. (English) Zbl 1224.65088 Numer. Linear Algebra Appl. 16, No. 4, 259-299 (2009). Reviewer: Miroslav Rozložník (Praha) MSC: 65F10 65F08 65F50 PDF BibTeX XML Cite \textit{Z. Jia} and \textit{B. Zhu}, Numer. Linear Algebra Appl. 16, No. 4, 259--299 (2009; Zbl 1224.65088) Full Text: DOI OpenURL
Lee, Eun-Joo; Zhang, Jun A two-phase preconditioning strategy of sparse approximate inverse for indefinite matrices. (English) Zbl 1189.65055 Comput. Math. Appl. 58, No. 6, 1152-1159 (2009). MSC: 65F08 65F10 PDF BibTeX XML Cite \textit{E.-J. Lee} and \textit{J. Zhang}, Comput. Math. Appl. 58, No. 6, 1152--1159 (2009; Zbl 1189.65055) Full Text: DOI OpenURL
Cui, Xiaoke; Hayami, Ken Generalized approximate inverse preconditioners for least squares problems. (English) Zbl 1171.65390 Japan J. Ind. Appl. Math. 26, No. 1, 1-14 (2009). MSC: 65F35 65F20 PDF BibTeX XML Cite \textit{X. Cui} and \textit{K. Hayami}, Japan J. Ind. Appl. Math. 26, No. 1, 1--14 (2009; Zbl 1171.65390) Full Text: DOI Euclid OpenURL
Wang, Shun; de Sturler, Eric Multilevel sparse approximate inverse preconditioners for adaptive mesh refinement. (English) Zbl 1166.65013 Linear Algebra Appl. 431, No. 3-4, 409-426 (2009). MSC: 65F10 65L10 34B05 65F35 PDF BibTeX XML Cite \textit{S. Wang} and \textit{E. de Sturler}, Linear Algebra Appl. 431, No. 3--4, 409--426 (2009; Zbl 1166.65013) Full Text: DOI OpenURL
de Leon, Doreen A new wavelet multigrid method. (English) Zbl 1146.65074 J. Comput. Appl. Math. 220, No. 1-2, 674-685 (2008). MSC: 65N06 65N55 65F10 65T60 35R05 35J25 PDF BibTeX XML Cite \textit{D. de Leon}, J. Comput. Appl. Math. 220, No. 1--2, 674--685 (2008; Zbl 1146.65074) Full Text: DOI OpenURL
Chen, X.; Phoon, K. K.; Toh, K. C. Partitioned versus global Krylov subspace iterative methods for FE solution of 3-D Biot’s problem. (English) Zbl 1173.74405 Comput. Methods Appl. Mech. Eng. 196, No. 25-28, 2737-2750 (2007). MSC: 74S05 74F10 76S05 65F10 PDF BibTeX XML Cite \textit{X. Chen} et al., Comput. Methods Appl. Mech. Eng. 196, No. 25--28, 2737--2750 (2007; Zbl 1173.74405) Full Text: DOI OpenURL
Salkuyeh, Davod Khojasteh; Karimi, Saeed; Toutounian, Faezeh A parallel algorithm to approximate inverse factors of a matrix via sparse-sparse iterations. (English) Zbl 1155.65320 Appl. Math. Comput. 181, No. 1, 782-792 (2006). MSC: 65F05 PDF BibTeX XML Cite \textit{D. K. Salkuyeh} et al., Appl. Math. Comput. 181, No. 1, 782--792 (2006; Zbl 1155.65320) Full Text: DOI OpenURL
Kaabi, A.; Toutounian, F.; Kerayechian, A. Preconditioned Galerkin and minimal residual methods for solving Sylvester equations. (English) Zbl 1105.65040 Appl. Math. Comput. 181, No. 2, 1208-1214 (2006). MSC: 65F30 15A24 65F10 PDF BibTeX XML Cite \textit{A. Kaabi} et al., Appl. Math. Comput. 181, No. 2, 1208--1214 (2006; Zbl 1105.65040) Full Text: DOI OpenURL
Martínez, J.; Larrazábal, G. Wavelet-based SPAI pre-conditioner using local dropping. (English) Zbl 1103.65053 Math. Comput. Simul. 73, No. 1-4, 200-214 (2006). MSC: 65F35 65T60 65F10 65Y05 PDF BibTeX XML Cite \textit{J. Martínez} and \textit{G. Larrazábal}, Math. Comput. Simul. 73, No. 1--4, 200--214 (2006; Zbl 1103.65053) Full Text: DOI OpenURL
Salkuyeh, Davod Khojasteh A new approach to compute sparse approximate inverse factors of a matrix. (English) Zbl 1090.65050 Appl. Math. Comput. 174, No. 2, 1110-1121 (2006). MSC: 65F35 65F50 65F10 PDF BibTeX XML Cite \textit{D. K. Salkuyeh}, Appl. Math. Comput. 174, No. 2, 1110--1121 (2006; Zbl 1090.65050) Full Text: DOI OpenURL
Kaebi, Amer; Kerayechian, Asghar; Toutounian, Faezeh Approximate inverse preconditioner by computing approximate solution of Sylvester equation. (English) Zbl 1103.65052 Appl. Math. Comput. 170, No. 2, 1067-1076 (2005). MSC: 65F35 65F30 15A24 PDF BibTeX XML Cite \textit{A. Kaebi} et al., Appl. Math. Comput. 170, No. 2, 1067--1076 (2005; Zbl 1103.65052) Full Text: DOI OpenURL
Guessous, N.; Souhar, O. The effect of block red-black ordering on block ILU preconditioner for sparse matrices. (English) Zbl 1064.65026 J. Appl. Math. Comput. 17, No. 1-2, 283-296 (2005). MSC: 65F10 65F35 65F50 65Y05 65N06 35J25 PDF BibTeX XML Cite \textit{N. Guessous} and \textit{O. Souhar}, J. Appl. Math. Comput. 17, No. 1--2, 283--296 (2005; Zbl 1064.65026) Full Text: DOI OpenURL
Salkuyeh, D. Khojasteh; Toutounian, F. A block version algorithm to approximate inverse factors. (English) Zbl 1063.65027 Appl. Math. Comput. 162, No. 3, 1499-1509 (2005). MSC: 65F10 65F35 65F50 65Y05 65N55 PDF BibTeX XML Cite \textit{D. K. Salkuyeh} and \textit{F. Toutounian}, Appl. Math. Comput. 162, No. 3, 1499--1509 (2005; Zbl 1063.65027) Full Text: DOI OpenURL
Gu, Tongxiang; Chi, Xuebin; Liu, Xingping AINV and BILUM preconditioning techniques. (English) Zbl 1115.76371 Appl. Math. Mech., Engl. Ed. 25, No. 9, 1012-1021 (2004). MSC: 76M20 76R99 65F10 PDF BibTeX XML Cite \textit{T. Gu} et al., Appl. Math. Mech., Engl. Ed. 25, No. 9, 1012--1021 (2004; Zbl 1115.76371) Full Text: DOI OpenURL
González, Patricia; Pena, Tomás F.; Cabaleiro, José C. Parallel sparse approximate preconditioners applied to the solution of BEM systems. (English) Zbl 1130.74464 Eng. Anal. Bound. Elem. 28, No. 9, 1061-1068 (2004). MSC: 74S15 65F10 65Y05 PDF BibTeX XML Cite \textit{P. González} et al., Eng. Anal. Bound. Elem. 28, No. 9, 1061--1068 (2004; Zbl 1130.74464) Full Text: DOI OpenURL
Baggag, Abdelkader; Sameh, Ahmed A nested iterative scheme for indefinite linear systems in particulate flows. (English) Zbl 1067.76559 Comput. Methods Appl. Mech. Eng. 193, No. 21-22, 1923-1957 (2004). MSC: 76M10 76T20 65F10 PDF BibTeX XML Cite \textit{A. Baggag} and \textit{A. Sameh}, Comput. Methods Appl. Mech. Eng. 193, No. 21--22, 1923--1957 (2004; Zbl 1067.76559) Full Text: DOI OpenURL
Hughes, Martyn D.; Chen, Ke An efficient preconditioned iterative solver for solving a coupled fluid structure interaction problem. (English) Zbl 1093.76051 Int. J. Comput. Math. 81, No. 5, 583-594 (2004). MSC: 76M25 65F10 74F10 PDF BibTeX XML Cite \textit{M. D. Hughes} and \textit{K. Chen}, Int. J. Comput. Math. 81, No. 5, 583--594 (2004; Zbl 1093.76051) Full Text: DOI OpenURL
Guessous, N.; Souhar, O. Recursive two-level ILU preconditioner for nonsymmetric M-matrices. (English) Zbl 1069.65027 J. Appl. Math. Comput. 16, No. 1-2, 19-35 (2004). Reviewer: Gisbert Stoyan (Budapest) MSC: 65F10 65N06 65F35 65N15 35J25 PDF BibTeX XML Cite \textit{N. Guessous} and \textit{O. Souhar}, J. Appl. Math. Comput. 16, No. 1--2, 19--35 (2004; Zbl 1069.65027) Full Text: DOI OpenURL
Salkuyeh, Davod Khojasteh; Toutounian, Faezeh BILUS: A block version of ILUS factorization. (English) Zbl 1055.65059 J. Appl. Math. Comput. 15, No. 1-2, 299-312 (2004). Reviewer: Ursula van Rienen (Rostock) MSC: 65F35 65Y20 65Y05 65F10 PDF BibTeX XML Cite \textit{D. K. Salkuyeh} and \textit{F. Toutounian}, J. Appl. Math. Comput. 15, No. 1--2, 299--312 (2004; Zbl 1055.65059) Full Text: DOI OpenURL
Guessous, N.; Souhar, O. Multilevel block ILU preconditioner for sparse nonsymmetric \(M\)-matrices. (English) Zbl 1038.65106 J. Comput. Appl. Math. 162, No. 1, 231-246 (2004). Reviewer: Iulian Coroian (Baia Mare) MSC: 65N06 35J25 65N55 65F35 65F10 65F50 PDF BibTeX XML Cite \textit{N. Guessous} and \textit{O. Souhar}, J. Comput. Appl. Math. 162, No. 1, 231--246 (2004; Zbl 1038.65106) Full Text: DOI OpenURL
Guillaume, Philippe; Saad, Yousef; Sosonkina, Masha Rational approximation preconditioners for sparse linear systems. (English) Zbl 1033.65029 J. Comput. Appl. Math. 158, No. 2, 419-442 (2003). Reviewer: Liu Xinguo (Qingdao) MSC: 65F35 65F50 65F10 PDF BibTeX XML Cite \textit{P. Guillaume} et al., J. Comput. Appl. Math. 158, No. 2, 419--442 (2003; Zbl 1033.65029) Full Text: DOI OpenURL
Benzi, Michele Preconditioning techniques for large linear systems: A survey. (English) Zbl 1015.65018 J. Comput. Phys. 182, No. 2, 418-477 (2002). MSC: 65F35 65-02 65N55 65-00 65F10 65F50 65Y05 PDF BibTeX XML Cite \textit{M. Benzi}, J. Comput. Phys. 182, No. 2, 418--477 (2002; Zbl 1015.65018) Full Text: DOI OpenURL
Wang, Kai; Zhang, Jun Multigrid treatment and robustness enhancement for factored sparse approximate inverse preconditioning. (English) Zbl 1012.65030 Appl. Numer. Math. 43, No. 4, 483-500 (2002). MSC: 65F10 65F50 65N55 65F35 PDF BibTeX XML Cite \textit{K. Wang} and \textit{J. Zhang}, Appl. Numer. Math. 43, No. 4, 483--500 (2002; Zbl 1012.65030) Full Text: DOI OpenURL
Zhang, Jun A sparse approximate inverse preconditioner for parallel preconditioning of general sparse matrices. (English) Zbl 1028.65044 Appl. Math. Comput. 130, No. 1, 63-85 (2002). Reviewer: Adhemar Bultheel (Leuven) MSC: 65F35 65F50 65F10 65Y05 PDF BibTeX XML Cite \textit{J. Zhang}, Appl. Math. Comput. 130, No. 1, 63--85 (2002; Zbl 1028.65044) Full Text: DOI OpenURL
Bröker, Oliver; Grote, Marcus J. Sparse approximate inverse smoothers for geometric and algebraic multigrid. (English) Zbl 0995.65129 Appl. Numer. Math. 41, No. 1, 61-80 (2002). MSC: 65N55 35J25 65N06 65F10 65F50 PDF BibTeX XML Cite \textit{O. Bröker} and \textit{M. J. Grote}, Appl. Numer. Math. 41, No. 1, 61--80 (2002; Zbl 0995.65129) Full Text: DOI Backlinks: MO OpenURL
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Chan, Tony F.; Wan, W. L. Robust multigrid methods for nonsmooth coefficient elliptic linear systems. (English) Zbl 0966.65099 J. Comput. Appl. Math. 123, No. 1-2, 323-352 (2000). MSC: 65N55 35R05 65N06 65N30 35J25 PDF BibTeX XML Cite \textit{T. F. Chan} and \textit{W. L. Wan}, J. Comput. Appl. Math. 123, No. 1--2, 323--352 (2000; Zbl 0966.65099) Full Text: DOI OpenURL
Saad, Yousef; van der Vorst, Henk A. Iterative solution of linear systems in the 20th century. (English) Zbl 0965.65051 J. Comput. Appl. Math. 123, No. 1-2, 1-33 (2000). Reviewer: F.Szidarovszky (Tucson) MSC: 65F10 65F35 65Y05 65N55 65-03 01A60 PDF BibTeX XML Cite \textit{Y. Saad} and \textit{H. A. van der Vorst}, J. Comput. Appl. Math. 123, No. 1--2, 1--33 (2000; Zbl 0965.65051) Full Text: DOI OpenURL
Darve, Eric The fast multipole method: Numerical implementation. (English) Zbl 0974.78012 J. Comput. Phys. 160, No. 1, 195-240 (2000). Reviewer: Gunther Schmidt (Berlin) MSC: 78M25 65R10 78A25 65N38 65Y20 PDF BibTeX XML Cite \textit{E. Darve}, J. Comput. Phys. 160, No. 1, 195--240 (2000; Zbl 0974.78012) Full Text: DOI OpenURL
Benzi, Michele; Tůma, Miroslav Numerical experiments with two approximate inverse preconditioners. (English) Zbl 0909.65027 BIT 38, No. 2, 234-241 (1998). Reviewer: Gabriela Kalnova (Bratislava) MSC: 65F35 65F10 65F50 PDF BibTeX XML Cite \textit{M. Benzi} and \textit{M. Tůma}, BIT 38, No. 2, 234--241 (1998; Zbl 0909.65027) Full Text: DOI OpenURL
Chow, Edmond; Saad, Yousef ILUS: An incomplete LU preconditioner in sparse skyline format. (English) Zbl 0896.76037 Int. J. Numer. Methods Fluids 25, No. 7, 739-748 (1997). MSC: 76M10 76D05 65F50 PDF BibTeX XML Cite \textit{E. Chow} and \textit{Y. Saad}, Int. J. Numer. Methods Fluids 25, No. 7, 739--748 (1997; Zbl 0896.76037) Full Text: DOI OpenURL