Gan, Di; Zhang, Guo-Feng Efficient ADI schemes and preconditioning for a class of high-dimensional spatial fractional diffusion equations with variable diffusion coefficients. (English) Zbl 07640804 J. Comput. Appl. Math. 423, Article ID 114938, 15 p. (2023). MSC: 65N06 65M06 65F08 65F10 65F55 65M12 65N12 15B05 65T50 26A33 35R11 PDF BibTeX XML Cite \textit{D. Gan} and \textit{G.-F. Zhang}, J. Comput. Appl. Math. 423, Article ID 114938, 15 p. (2023; Zbl 07640804) Full Text: DOI OpenURL
Zeng, Min-Li; Yang, Jun-Feng; Zhang, Guo-Feng On \(\tau\) matrix-based approximate inverse preconditioning technique for diagonal-plus-Toeplitz linear systems from spatial fractional diffusion equations. (English) Zbl 1485.65029 J. Comput. Appl. Math. 407, Article ID 114088, 21 p. (2022). MSC: 65F08 65F10 15B05 PDF BibTeX XML Cite \textit{M.-L. Zeng} et al., J. Comput. Appl. Math. 407, Article ID 114088, 21 p. (2022; Zbl 1485.65029) Full Text: DOI OpenURL
Buranay, S. C.; Iyikal, O. C. Incomplete block-matrix factorization of \(M\)-matrices using two-step iterative method for matrix inversion and preconditioning. (English) Zbl 1490.65048 Math. Methods Appl. Sci. 44, No. 9, 7634-7650 (2021). MSC: 65F10 65F08 65F50 PDF BibTeX XML Cite \textit{S. C. Buranay} and \textit{O. C. Iyikal}, Math. Methods Appl. Sci. 44, No. 9, 7634--7650 (2021; Zbl 1490.65048) 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
Jiang, Meng-Jiao; Guo, Xue-Ping A new parameter-free method for Toeplitz systems of weakly nonlinear equations. (English) Zbl 1467.65026 J. Comput. Appl. Math. 393, Article ID 113505, 11 p. (2021). MSC: 65F10 65F50 65T50 65Y05 PDF BibTeX XML Cite \textit{M.-J. Jiang} and \textit{X.-P. Guo}, J. Comput. Appl. Math. 393, Article ID 113505, 11 p. (2021; Zbl 1467.65026) Full Text: DOI 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
Fang, Zhi-Wei; Sun, Hai-Wei; Wei, Hui-Qin An approximate inverse preconditioner for spatial fractional diffusion equations with piecewise continuous coefficients. (English) Zbl 07475941 Int. J. Comput. Math. 97, No. 3, 523-545 (2020). MSC: 65-XX 35R05 65F08 65F10 65M06 PDF BibTeX XML Cite \textit{Z.-W. Fang} et al., Int. J. Comput. Math. 97, No. 3, 523--545 (2020; Zbl 07475941) Full Text: DOI OpenURL
Kopal, Jiří; Rozložník, Miroslav; Tůma, Miroslav A note on adaptivity in factorized approximate inverse preconditioning. (English) Zbl 1499.65100 An. Științ. Univ. “Ovidius” Constanța, Ser. Mat. 28, No. 2, 149-159 (2020). MSC: 65F05 65F25 PDF BibTeX XML Cite \textit{J. Kopal} et al., An. Științ. Univ. ``Ovidius'' Constanța, Ser. Mat. 28, No. 2, 149--159 (2020; Zbl 1499.65100) Full Text: DOI OpenURL
O’Hearn, Kurt A.; Alperen, Abdullah; Aktulga, Hasan Metin Fast solvers for charge distribution models on shared memory platforms. (English) Zbl 1431.65026 SIAM J. Sci. Comput. 42, No. 1, C1-C22 (2020). MSC: 65F08 65F10 65F50 PDF BibTeX XML Cite \textit{K. A. O'Hearn} et al., SIAM J. Sci. Comput. 42, No. 1, C1--C22 (2020; Zbl 1431.65026) Full Text: DOI OpenURL
Wathen, Michael; Greif, Chen A scalable approximate inverse block preconditioner for an incompressible magnetohydrodynamics model problem. (English) Zbl 1428.76177 SIAM J. Sci. Comput. 42, No. 1, B57-B79 (2020). MSC: 76M99 65F08 65F10 65F15 65F50 65N22 76W05 PDF BibTeX XML Cite \textit{M. Wathen} and \textit{C. Greif}, SIAM J. Sci. Comput. 42, No. 1, B57--B79 (2020; Zbl 1428.76177) Full Text: DOI OpenURL
Durastante, Fabio Efficient solution of time-fractional differential equations with a new adaptive multi-term discretization of the generalized Caputo-Dzherbashyan derivative. (English) Zbl 1427.65220 Calcolo 56, No. 4, Paper No. 36, 24 p. (2019). MSC: 65M22 65F10 65F08 35R11 65D32 PDF BibTeX XML Cite \textit{F. Durastante}, Calcolo 56, No. 4, Paper No. 36, 24 p. (2019; Zbl 1427.65220) Full Text: DOI OpenURL
Magri, Victor A. P.; Franceschini, Andrea; Ferronato, Massimiliano; Janna, Carlo Multilevel approaches for FSAI preconditioning. (English) Zbl 06987006 Numer. Linear Algebra Appl. 25, No. 5, e2183, 18 p. (2018). MSC: 65F08 65F50 PDF BibTeX XML Cite \textit{V. A. P. Magri} et al., Numer. Linear Algebra Appl. 25, No. 5, e2183, 18 p. (2018; Zbl 06987006) Full Text: DOI OpenURL
Kyziropoulos, Panagiotis E.; Filelis-Papadopoulos, Christos K.; Gravvanis, George A. A class of symmetric factored approximate inverses and hybrid two-level solver. (English) Zbl 1404.65039 Int. J. Comput. Methods 15, No. 6, Article ID 1850050, 17 p. (2018). MSC: 65F50 65F08 65F10 PDF BibTeX XML Cite \textit{P. E. Kyziropoulos} et al., Int. J. Comput. Methods 15, No. 6, Article ID 1850050, 17 p. (2018; Zbl 1404.65039) Full Text: DOI OpenURL
Axelsson, Owe; Blaheta, Radim Low-rank improvements of two-level grid preconditioned matrices. (English) Zbl 1432.65034 J. Comput. Appl. Math. 340, 432-442 (2018). MSC: 65F08 65N22 PDF BibTeX XML Cite \textit{O. Axelsson} and \textit{R. Blaheta}, J. Comput. Appl. Math. 340, 432--442 (2018; Zbl 1432.65034) Full Text: DOI OpenURL
Cipolla, Stefano; Durastante, Fabio Fractional PDE constrained optimization: an optimize-then-discretize approach with L-BFGS and approximate inverse preconditioning. (English) Zbl 1377.65070 Appl. Numer. Math. 123, 43-57 (2018). MSC: 65K10 49J20 49M25 65F08 PDF BibTeX XML Cite \textit{S. Cipolla} and \textit{F. Durastante}, Appl. Numer. Math. 123, 43--57 (2018; Zbl 1377.65070) Full Text: DOI OpenURL
Rafiei, Amin; Bollhöfer, Matthias Complete pivoting strategy for the IUL preconditioner obtained from backward factored approximate inverse process. (English) Zbl 1405.65049 Bull. Iran. Math. Soc. 43, No. 5, 1417-1456 (2017). MSC: 65F10 65F50 65F08 PDF BibTeX XML Cite \textit{A. Rafiei} and \textit{M. Bollhöfer}, Bull. Iran. Math. Soc. 43, No. 5, 1417--1456 (2017; Zbl 1405.65049) Full Text: Link OpenURL
Buranay, Suzan C.; Subasi, Dervis; Iyikal, Ovgu C. On the two classes of high-order convergent methods of approximate inverse preconditioners for solving linear systems. (English) Zbl 1424.65021 Numer. Linear Algebra Appl. 24, No. 6, e2111, 28 p. (2017). Reviewer: Fazlollah Soleymani (Zanjan) MSC: 65F08 15A09 PDF BibTeX XML Cite \textit{S. C. Buranay} et al., Numer. Linear Algebra Appl. 24, No. 6, e2111, 28 p. (2017; Zbl 1424.65021) Full Text: DOI OpenURL
Xi, Yuanzhe; Saad, Yousef A rational function preconditioner for indefinite sparse linear systems. (English) Zbl 1368.65044 SIAM J. Sci. Comput. 39, No. 3, A1145-A1167 (2017). MSC: 65F08 65F50 35J05 65N22 PDF BibTeX XML Cite \textit{Y. Xi} and \textit{Y. Saad}, SIAM J. Sci. Comput. 39, No. 3, A1145--A1167 (2017; Zbl 1368.65044) Full Text: DOI 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
Andrea, Caliciotti; Giovanni, Fasano; Massimo, Roma Novel preconditioners based on quasi-Newton updates for nonlinear conjugate gradient methods. (English) Zbl 1367.90091 Optim. Lett. 11, No. 4, 835-853 (2017). MSC: 90C26 90C06 PDF BibTeX XML Cite \textit{C. Andrea} et al., Optim. Lett. 11, No. 4, 835--853 (2017; Zbl 1367.90091) Full Text: DOI OpenURL
Wang, Chaojie; Li, Hongyi; Zhao, Di Preconditioning Toeplitz-plus-diagonal linear systems using the Sherman-Morrison-Woodbury formula. (English) Zbl 1455.65046 J. Comput. Appl. Math. 309, 312-319 (2017). MSC: 65F08 65F10 94A08 15B05 PDF BibTeX XML Cite \textit{C. Wang} et al., J. Comput. Appl. Math. 309, 312--319 (2017; Zbl 1455.65046) Full Text: DOI OpenURL
Akay, H. U.; Oktay, E.; Manguoglu, M.; Sivas, A. A. Improved parallel preconditioners for multidisciplinary topology optimisations. (English) Zbl 07516896 Int. J. Comput. Fluid Dyn. 30, No. 4, 329-336 (2016). MSC: 65-XX 78-XX PDF BibTeX XML Cite \textit{H. U. Akay} et al., Int. J. Comput. Fluid Dyn. 30, No. 4, 329--336 (2016; Zbl 07516896) Full Text: DOI OpenURL
Morita, Naoki; Hashimoto, Gaku; Okuda, Hiroshi Stabilized approximate inverse preconditioning based on A-orthogonalization process for parallel finite element analysis. (English) Zbl 1462.65173 JSIAM Lett. 8, 25-28 (2016). MSC: 65N22 65N30 65F08 65F10 65F50 65Y05 PDF BibTeX XML Cite \textit{N. Morita} et al., JSIAM Lett. 8, 25--28 (2016; Zbl 1462.65173) Full Text: DOI 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
Kardani, Omid; Lyamin, Andrei; Krabbenhøft, Kristian Application of a GPU-accelerated hybrid preconditioned conjugate gradient approach for large 3D problems in computational geomechanics. (English) Zbl 1443.65045 Comput. Math. Appl. 69, No. 10, 1114-1131 (2015). MSC: 65F10 65F08 65K05 65K10 65Y10 86-08 PDF BibTeX XML Cite \textit{O. Kardani} et al., Comput. Math. Appl. 69, No. 10, 1114--1131 (2015; Zbl 1443.65045) Full Text: DOI OpenURL
Kriemann, Ronald; Le Borne, S. \(\mathcal H\)-FAINV: hierarchically factored approximate inverse preconditioners. (English) Zbl 1388.65027 Comput. Vis. Sci. 17, No. 3, 135-150 (2015). MSC: 65F08 PDF BibTeX XML Cite \textit{R. Kriemann} and \textit{S. Le Borne}, Comput. Vis. Sci. 17, No. 3, 135--150 (2015; Zbl 1388.65027) Full Text: DOI OpenURL
Bağci, Hakan; Pasciak, Joseph E.; Sirenko, Kostyantyn Y. A convergence analysis for a sweeping preconditioner for block tridiagonal systems of linear equations. (English) Zbl 1363.65040 Numer. Linear Algebra Appl. 22, No. 2, 371-392 (2015). MSC: 65F08 35J05 65F10 65F50 PDF BibTeX XML Cite \textit{H. Bağci} et al., Numer. Linear Algebra Appl. 22, No. 2, 371--392 (2015; Zbl 1363.65040) Full Text: DOI OpenURL
Estrin, Ron; Greif, Chen On nonsingular saddle-point systems with a maximally rank deficient leading block. (English) Zbl 1328.65075 SIAM J. Matrix Anal. Appl. 36, No. 2, 367-384 (2015). MSC: 65F08 65F10 65F50 PDF BibTeX XML Cite \textit{R. Estrin} and \textit{C. Greif}, SIAM J. Matrix Anal. Appl. 36, No. 2, 367--384 (2015; Zbl 1328.65075) Full Text: DOI Link 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
Filelis-Papadopoulos, Christos K.; Gravvanis, George A. Generic approximate sparse inverse matrix techniques. (English) Zbl 1359.65042 Int. J. Comput. Methods 11, No. 6, Article ID 1350084, 16 p. (2014). MSC: 65F08 65F50 PDF BibTeX XML Cite \textit{C. K. Filelis-Papadopoulos} and \textit{G. A. Gravvanis}, Int. J. Comput. Methods 11, No. 6, Article ID 1350084, 16 p. (2014; Zbl 1359.65042) Full Text: DOI OpenURL
Fan, Yingzhe; Chen, Zhangxin A sparse approximate inverse preconditioner for nonsymmetric linear systems. (English) Zbl 1463.65043 Int. J. Numer. Anal. Model., Ser. B 5, No. 1-2, 21-30 (2014). MSC: 65F10 65F08 PDF BibTeX XML Cite \textit{Y. Fan} and \textit{Z. Chen}, Int. J. Numer. Anal. Model., Ser. B 5, No. 1--2, 21--30 (2014; Zbl 1463.65043) OpenURL
Rafiei, A. ILU and IUL factorizations obtained from forward and backward factored approximate inverse algorithms. (English) Zbl 1337.65028 Bull. Iran. Math. Soc. 40, No. 5, 1327-1346 (2014). MSC: 65F08 65F10 65F50 PDF BibTeX XML Cite \textit{A. Rafiei}, Bull. Iran. Math. Soc. 40, No. 5, 1327--1346 (2014; Zbl 1337.65028) Full Text: Link OpenURL
Soleymani, F. A fast convergent iterative solver for approximate inverse of matrices. (English) Zbl 1340.65051 Numer. Linear Algebra Appl. 21, No. 3, 439-452 (2014). Reviewer: Jurjen Duintjer Tebbens (Praha) MSC: 65F10 65F30 65F20 65F05 65F08 65F50 15A09 PDF BibTeX XML Cite \textit{F. Soleymani}, Numer. Linear Algebra Appl. 21, No. 3, 439--452 (2014; Zbl 1340.65051) Full Text: DOI OpenURL
Ferronato, Massimiliano; Janna, Carlo; Pini, Giorgio A generalized block FSAI preconditioner for nonsymmetric linear systems. (English) Zbl 1314.65044 J. Comput. Appl. Math. 256, 230-241 (2014). MSC: 65F08 65F10 65Y05 PDF BibTeX XML Cite \textit{M. Ferronato} et al., J. Comput. Appl. Math. 256, 230--241 (2014; Zbl 1314.65044) Full Text: DOI OpenURL
Pan, Jianyu; Ke, Rihuan; Ng, Michael K.; Sun, Hai-Wei Preconditioning techniques for diagonal-times-Toeplitz matrices in fractional diffusion equations. (English) Zbl 1314.65112 SIAM J. Sci. Comput. 36, No. 6, A2698-A2719 (2014). Reviewer: Ivan Secrieru (Chişinău) MSC: 65M06 65M22 35K90 35R11 65F08 15B05 PDF BibTeX XML Cite \textit{J. Pan} et al., SIAM J. Sci. Comput. 36, No. 6, A2698--A2719 (2014; Zbl 1314.65112) Full Text: DOI Link OpenURL
Giraldi, L.; Nouy, A.; Legrain, G. Low-rank approximate inverse for preconditioning tensor-structured linear systems. (English) Zbl 1307.65033 SIAM J. Sci. Comput. 36, No. 4, A1850-A1870 (2014). Reviewer: Constantin Popa (Constanţa) MSC: 65F08 15A69 15A09 65F10 65F50 65C30 60H15 35J05 PDF BibTeX XML Cite \textit{L. Giraldi} et al., SIAM J. Sci. Comput. 36, No. 4, A1850--A1870 (2014; Zbl 1307.65033) Full Text: DOI arXiv OpenURL
Soleymani, Fazlollah On finding robust approximate inverses for large sparse matrices. (English) Zbl 1317.65081 Linear Multilinear Algebra 62, No. 10, 1314-1334 (2014). Reviewer: Drahoslava Janovská (Praha) MSC: 65F05 65F50 65F08 65F10 65F20 65Y05 PDF BibTeX XML Cite \textit{F. Soleymani}, Linear Multilinear Algebra 62, No. 10, 1314--1334 (2014; Zbl 1317.65081) Full Text: DOI OpenURL
Chow, Edmond; Saad, Yousef Preconditioned Krylov subspace methods for sampling multivariate Gaussian distributions. (English) Zbl 1296.60087 SIAM J. Sci. Comput. 36, No. 2, 588-608 (2014). MSC: 60G15 62E17 65C20 65F08 65F10 65F60 PDF BibTeX XML Cite \textit{E. Chow} and \textit{Y. Saad}, SIAM J. Sci. Comput. 36, No. 2, 588--608 (2014; Zbl 1296.60087) Full Text: DOI Link OpenURL
Byckling, Mikko; Huhtanen, Marko Preconditioning with direct approximate factoring of the inverse. (English) Zbl 1290.65024 SIAM J. Sci. Comput. 36, No. 1, A88-A104 (2014). MSC: 65F08 65F10 65Y05 PDF BibTeX XML Cite \textit{M. Byckling} and \textit{M. Huhtanen}, SIAM J. Sci. Comput. 36, No. 1, A88--A104 (2014; Zbl 1290.65024) Full Text: DOI arXiv 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
Janna, Carlo; Ferronato, Massimilano; Gambolati, Giuseppe Enhanced block FSAI preconditioning using domain decomposition techniques. (English) Zbl 1288.65034 SIAM J. Sci. Comput. 35, No. 5, S229-S249 (2013). Reviewer: Robert F. Remis (Delft) MSC: 65F08 65F10 65F50 65Y05 PDF BibTeX XML Cite \textit{C. Janna} et al., SIAM J. Sci. Comput. 35, No. 5, S229--S249 (2013; Zbl 1288.65034) Full Text: DOI OpenURL
Jia, Zhongxiao; Zhang, Qian An approach to making SPAI and PSAI preconditioning effective for large irregular sparse linear systems. (English) Zbl 1362.65035 SIAM J. Sci. Comput. 35, No. 4, A1903-A1927 (2013). MSC: 65F08 65F10 65F50 PDF BibTeX XML Cite \textit{Z. Jia} and \textit{Q. Zhang}, SIAM J. Sci. Comput. 35, No. 4, A1903--A1927 (2013; Zbl 1362.65035) Full Text: DOI arXiv OpenURL
Zhang, Linjie; Moriya, Kentaro; Nodera, Takashi Two level parallel preconditioning derived from an approximate inverse based on the Sherman-Morrison formula. (English) Zbl 1333.65031 ANZIAM J. 54E, E1-E25 (2012). MSC: 65F08 PDF BibTeX XML Cite \textit{L. Zhang} et al., ANZIAM J. 54E, E1--E25 (2012; Zbl 1333.65031) Full Text: DOI OpenURL
Ferronato, Massimiliano; Janna, Carlo; Pini, Giorgio Efficient parallel solution to large-size sparse eigenproblems with block FSAI preconditioning. (English) Zbl 1274.65106 Numer. Linear Algebra Appl. 19, No. 5, 797-815 (2012). Reviewer: Luca Bergamaschi (Padua) MSC: 65F15 65F50 65F08 65Y05 PDF BibTeX XML Cite \textit{M. Ferronato} et al., Numer. Linear Algebra Appl. 19, No. 5, 797--815 (2012; Zbl 1274.65106) Full Text: DOI OpenURL
Bergamaschi, Luca; Martínez, Àngeles Banded target matrices and recursive FSAI for parallel preconditioning. (English) Zbl 1257.65015 Numer. Algorithms 61, No. 2, 223-241 (2012). MSC: 65F08 65F10 65Y05 PDF BibTeX XML Cite \textit{L. Bergamaschi} and \textit{À. Martínez}, Numer. Algorithms 61, No. 2, 223--241 (2012; Zbl 1257.65015) Full Text: DOI OpenURL
Carr, L. E. III; Borges, C. F.; Giraldo, F. X. An element-based spectrally optimized approximate inverse preconditioner for the Euler equations. (English) Zbl 1253.65147 SIAM J. Sci. Comput. 34, No. 4, B392-B420 (2012). MSC: 65M60 65M70 35L65 76M10 76N15 76M22 65F08 86A10 PDF BibTeX XML Cite \textit{L. E. Carr III} et al., SIAM J. Sci. Comput. 34, No. 4, B392--B420 (2012; Zbl 1253.65147) Full Text: DOI OpenURL
Kaporin, I. E. Using Chebyshev polynomials and approximate inverse triangular factorizations for preconditioning the conjugate gradient method. (Russian, English) Zbl 1245.65035 Zh. Vychisl. Mat. Mat. Fiz. 52, No. 2, 179-204 (2012); translation in Comput. Math. Math. Phys. 52, No. 2, 169-193 (2012). MSC: 65F08 15A23 15B48 65F50 65Y05 PDF BibTeX XML Cite \textit{I. E. Kaporin}, Zh. Vychisl. Mat. Mat. Fiz. 52, No. 2, 179--204 (2012; Zbl 1245.65035); translation in Comput. Math. Math. Phys. 52, No. 2, 169--193 (2012) Full Text: DOI OpenURL
Yamazaki, Ikuro; Tadano, Hiroto; Sakurai, Tetsuya; Teranishi, Keita A convergence improvement of the BSAIC preconditioner by deflation. (English) Zbl 1271.65054 JSIAM Lett. 3, 5-8 (2011). MSC: 65F08 PDF BibTeX XML Cite \textit{I. Yamazaki} et al., JSIAM Lett. 3, 5--8 (2011; Zbl 1271.65054) Full Text: DOI Link OpenURL
Rafiei, Amin; Shahlaei, Fatemeh Different versions of ILU and IUL factorizations obtained from forward and backward factored approximate inverse processes. I. (English) Zbl 1236.65032 Adv. Numer. Anal. 2011, Article ID 703435, 9 p. (2011). MSC: 65F08 65F10 15A23 PDF BibTeX XML Cite \textit{A. Rafiei} and \textit{F. Shahlaei}, Adv. Numer. Anal. 2011, Article ID 703435, 9 p. (2011; Zbl 1236.65032) Full Text: DOI OpenURL
Janna, Carlo; Ferronato, Massimiliano Adaptive pattern research for block FSAI preconditioning. (English) Zbl 1273.65045 SIAM J. Sci. Comput. 33, No. 6, 3357-3380 (2011). MSC: 65F08 65F10 65F50 65Y05 PDF BibTeX XML Cite \textit{C. Janna} and \textit{M. Ferronato}, SIAM J. Sci. Comput. 33, No. 6, 3357--3380 (2011; Zbl 1273.65045) Full Text: DOI OpenURL
Bellavia, Stefania; Bertaccini, Daniele; Morini, Benedetta Nonsymmetric preconditioner updates in Newton-Krylov methods for nonlinear systems. (English) Zbl 1232.65049 SIAM J. Sci. Comput. 33, No. 5, 2595-2619 (2011). MSC: 65F08 65F10 65F50 65H10 PDF BibTeX XML Cite \textit{S. Bellavia} et al., SIAM J. Sci. Comput. 33, No. 5, 2595--2619 (2011; Zbl 1232.65049) Full Text: DOI OpenURL
Malas, Tahir; Gürel, Levent Schur complement preconditioners for surface integral-equation formulations of dielectric problems solved with the multilevel fast multipole algorithm. (English) Zbl 1232.65007 SIAM J. Sci. Comput. 33, No. 5, 2440-2467 (2011). MSC: 65B99 65F10 65R20 65Y20 78A45 78A55 78M05 PDF BibTeX XML Cite \textit{T. Malas} and \textit{L. Gürel}, SIAM J. Sci. Comput. 33, No. 5, 2440--2467 (2011; Zbl 1232.65007) Full Text: DOI Link OpenURL
Gravvanis, G. A.; Giannoutakis, K. M. Finite element approximate inverse preconditioning for solving 3D biharmonic problems on shared memory systems. (English) Zbl 1231.65064 CMES, Comput. Model. Eng. Sci. 71, No. 4, 305-330 (2011). MSC: 65F08 65F50 65N22 65N30 PDF BibTeX XML Cite \textit{G. A. Gravvanis} and \textit{K. M. Giannoutakis}, CMES, Comput. Model. Eng. Sci. 71, No. 4, 305--330 (2011; Zbl 1231.65064) 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
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
Filelis-Papadopoulos, C. K.; Gravvanis, G. A.; Matskanidis, P. I.; Giannoutakis, K. M. On the GPGPU parallelization issues of finite element approximate inverse preconditioning. (English) Zbl 1228.65043 J. Comput. Appl. Math. 236, No. 3, 294-307 (2011). MSC: 65F08 35J25 65N30 65Y05 65F50 65F10 PDF BibTeX XML Cite \textit{C. K. Filelis-Papadopoulos} et al., J. Comput. Appl. Math. 236, No. 3, 294--307 (2011; Zbl 1228.65043) Full Text: DOI OpenURL
Li, Hou-Biao; Huang, Ting-Zhu; Zhang, Yong; Liu, Xing-Ping; Gu, Tong-Xiang Chebyshev-type methods and preconditioning techniques. (English) Zbl 1226.65024 Appl. Math. Comput. 218, No. 2, 260-270 (2011). MSC: 65F08 PDF BibTeX XML Cite \textit{H.-B. Li} et al., Appl. Math. Comput. 218, No. 2, 260--270 (2011; Zbl 1226.65024) Full Text: DOI OpenURL
Wen, You-Wei; Ching, Wai-Ki; Ng, Michael Approximate inverse-free preconditioners for Toeplitz matrices. (English) Zbl 1222.65029 Appl. Math. Comput. 217, No. 16, 6856-6867 (2011). Reviewer: Yanlai Chen (North Dartmouth) MSC: 65F08 65F10 PDF BibTeX XML Cite \textit{Y.-W. Wen} et al., Appl. Math. Comput. 217, No. 16, 6856--6867 (2011; Zbl 1222.65029) 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
Rohwedder, Thorsten; Schneider, Reinhold; Zeiser, Andreas Perturbed preconditioned inverse iteration for operator eigenvalue problems with applications to adaptive wavelet discretization. (English) Zbl 1208.65160 Adv. Comput. Math. 34, No. 1, 43-66 (2011). Reviewer: Nicolae Pop (Baia Mare) MSC: 65N25 65N55 65F08 65F10 35P15 65N50 65T60 PDF BibTeX XML Cite \textit{T. Rohwedder} et al., Adv. Comput. Math. 34, No. 1, 43--66 (2011; Zbl 1208.65160) Full Text: DOI arXiv OpenURL
Khojasteh Salkuyeh, Davod A preconditioner for the normal equations. (English) Zbl 1294.65036 J. Appl. Math. Inform. 28, No. 3-4, 687-696 (2010). MSC: 65F08 65F10 65F20 65F50 PDF BibTeX XML Cite \textit{D. Khojasteh Salkuyeh}, J. Appl. Math. Inform. 28, No. 3--4, 687--696 (2010; Zbl 1294.65036) OpenURL
Yamazaki, Ikuro; Okada, Masayuki; Tadano, Hiroto; Sakurai, Tetsuya; Teranishi, Keita A block sparse approximate inverse with cutoff preconditioner for semi-sparse linear systems derived from molecular orbital calculations. (English) Zbl 1271.65053 JSIAM Lett. 2, 41-44 (2010). MSC: 65F08 PDF BibTeX XML Cite \textit{I. Yamazaki} et al., JSIAM Lett. 2, 41--44 (2010; Zbl 1271.65053) Full Text: DOI Link OpenURL
Kim, Sang-Bae; Xu, Shuting; Zhang, Jun Data mining and prediction of SAI type matrix preconditioner. (English) Zbl 1228.65045 J. Appl. Math. Inform. 28, No. 1-2, 351-361 (2010). MSC: 65F08 65F10 65F50 PDF BibTeX XML Cite \textit{S.-B. Kim} et al., J. Appl. Math. Inform. 28, No. 1--2, 351--361 (2010; Zbl 1228.65045) OpenURL
Janna, Carlo; Ferronato, Massimilano; Gambolati, Giuseppe A block FSAI-ILU parallel preconditioner for symmetric positive definite linear systems. (English) Zbl 1220.65037 SIAM J. Sci. Comput. 32, No. 5, 2468-2484 (2010). Reviewer: Constantin Popa (Constanţa) MSC: 65F08 65F10 65F50 65Y05 PDF BibTeX XML Cite \textit{C. Janna} et al., SIAM J. Sci. Comput. 32, No. 5, 2468--2484 (2010; Zbl 1220.65037) Full Text: DOI OpenURL
Gürel, Levent; Malas, Tahir Iterative near-field preconditioner for the multilevel fast multipole algorithm. (English) Zbl 1214.31003 SIAM J. Sci. Comput. 32, No. 4, 1929-1949 (2010). MSC: 31A10 65F10 78A45 78M05 PDF BibTeX XML Cite \textit{L. Gürel} and \textit{T. Malas}, SIAM J. Sci. Comput. 32, No. 4, 1929--1949 (2010; Zbl 1214.31003) Full Text: DOI OpenURL
Ng, Michael K.; Pan, Jianyu Approximate inverse circulant-plus-diagonal preconditioners for Toeplitz-plus-diagonal matrices. (English) Zbl 1222.65028 SIAM J. Sci. Comput. 32, No. 3, 1442-1464 (2010). Reviewer: Yanlai Chen (North Dartmouth) MSC: 65F08 65F10 PDF BibTeX XML Cite \textit{M. K. Ng} and \textit{J. Pan}, SIAM J. Sci. Comput. 32, No. 3, 1442--1464 (2010; Zbl 1222.65028) Full Text: DOI OpenURL
Raghavan, Padma; Teranishi, Keita Parallel hybrid preconditioning: incomplete factorization with selective sparse approximate inversion. (English) Zbl 1213.65052 SIAM J. Sci. Comput. 32, No. 3, 1323-1345 (2010). MSC: 65F08 65F10 65F50 65Y05 PDF BibTeX XML Cite \textit{P. Raghavan} and \textit{K. Teranishi}, SIAM J. Sci. Comput. 32, No. 3, 1323--1345 (2010; Zbl 1213.65052) Full Text: DOI OpenURL
Yin, Jun-Feng A class of preconditioners based on matrix splitting for nonsymmetric linear systems. (English) Zbl 1192.65037 Appl. Math. Comput. 216, No. 6, 1694-1706 (2010). MSC: 65F08 65F10 PDF BibTeX XML Cite \textit{J.-F. Yin}, Appl. Math. Comput. 216, No. 6, 1694--1706 (2010; Zbl 1192.65037) Full Text: DOI OpenURL
Cerdán, J.; Faraj, T.; Malla, N.; Marín, J.; Mas, J. Block approximate inverse preconditioners for sparse nonsymmetric linear systems. (English) Zbl 1191.65023 ETNA, Electron. Trans. Numer. Anal. 37, 23-40 (2010). Reviewer: Constantin Popa (Constanţa) MSC: 65F08 65F10 65F50 PDF BibTeX XML Cite \textit{J. Cerdán} et al., ETNA, Electron. Trans. Numer. Anal. 37, 23--40 (2010; Zbl 1191.65023) Full Text: EuDML EMIS OpenURL
Suárez, Antonio; González, Luis A generalization of the Moore-Penrose inverse related to matrix subspaces of \(\mathbb C^{n\times m}\). (English) Zbl 1187.15008 Appl. Math. Comput. 216, No. 2, 514-522 (2010). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 15A09 65F08 PDF BibTeX XML Cite \textit{A. Suárez} and \textit{L. González}, Appl. Math. Comput. 216, No. 2, 514--522 (2010; Zbl 1187.15008) Full Text: DOI 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
Imakura, A.; Sogabe, T.; Zhang, S.-L. An implicit wavelet sparse approximate inverse preconditioner using block finger pattern. (English) Zbl 1224.65074 Numer. Linear Algebra Appl. 16, No. 11-12, 915-928 (2009). Reviewer: Miroslav Tůma (Praha) MSC: 65F08 65F10 65F50 65T60 PDF BibTeX XML Cite \textit{A. Imakura} et al., Numer. Linear Algebra Appl. 16, No. 11--12, 915--928 (2009; Zbl 1224.65074) Full Text: DOI OpenURL
Violentis, J. B.; Platis, A. N.; Gravvanis, G. A.; Lipitakis, E. A. Performance analysis of an electrical substation via a semi-Markov process computed by generalized approximate inverse preconditioning. (English) Zbl 1215.65021 HERMIS-\(\mu\pi\) 10, 35-48 (2009). MSC: 65C50 60J28 65F10 65F08 PDF BibTeX XML Cite \textit{J. B. Violentis} et al., HERMIS-\(\mu\pi\) 10, 35--48 (2009; Zbl 1215.65021) OpenURL
Kaabi, Amer Computing an approximate inverse preconditioner by successive approximations method. (English) Zbl 1236.65030 Appl. Math. Sci., Ruse 3, No. 53-56, 2671-2679 (2009). MSC: 65F08 65F10 65F30 15A24 PDF BibTeX XML Cite \textit{A. Kaabi}, Appl. Math. Sci., Ruse 3, No. 53--56, 2671--2679 (2009; Zbl 1236.65030) Full Text: Link 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
Moriya, Kentaro; Zhang, Linjie; Nodera, Takashi An approximate matrix inversion procedure by parallelization of the Sherman-Morrison formula. (English) Zbl 1190.65047 ANZIAM J. 51, No. 1, 1-9 (2009). MSC: 65F08 65Y05 65Y20 PDF BibTeX XML Cite \textit{K. Moriya} et al., ANZIAM J. 51, No. 1, 1--9 (2009; Zbl 1190.65047) Full Text: DOI OpenURL
Salkuyeh, Davod Khojasteh; Roohani, Hadi On the relation between the AINV and the FAPINV algorithms. (English) Zbl 1188.65030 Int. J. Math. Math. Sci. 2009, Article ID 179481, 6 p. (2009). MSC: 65F08 PDF BibTeX XML Cite \textit{D. K. Salkuyeh} and \textit{H. Roohani}, Int. J. Math. Math. Sci. 2009, Article ID 179481, 6 p. (2009; Zbl 1188.65030) Full Text: DOI EuDML OpenURL
Yin, Jun-Feng Preconditioner based on the Sherman-Morrison formula for regularized least squares problems. (English) Zbl 1192.65036 Appl. Math. Comput. 215, No. 8, 3007-3016 (2009). Reviewer: Murli Gupta (Washington, D. C.) MSC: 65F08 65F20 65F22 PDF BibTeX XML Cite \textit{J.-F. Yin}, Appl. Math. Comput. 215, No. 8, 3007--3016 (2009; Zbl 1192.65036) Full Text: DOI OpenURL
Li, Hou-Biao; Huang, Ting-Zhu; Zhang, Yong; Liu, Xing-Ping; Li, Hong On some new approximate factorization methods for block tridiagonal matrices suitable for vector and parallel processors. (English) Zbl 1173.65025 Math. Comput. Simul. 79, No. 7, 2135-2147 (2009). Reviewer: Carlos A. De Moura (Rio de Janeiro) MSC: 65F10 65F15 65F50 PDF BibTeX XML Cite \textit{H.-B. Li} et al., Math. Comput. Simul. 79, No. 7, 2135--2147 (2009; Zbl 1173.65025) Full Text: DOI OpenURL
Benhamadou, Mongi Preconditioners for the resolution of the linear systems \(Ax=b\). (English) Zbl 1122.65045 Appl. Math. Comput. 189, No. 1, 927-942 (2007). MSC: 65F35 65F10 PDF BibTeX XML Cite \textit{M. Benhamadou}, Appl. Math. Comput. 189, No. 1, 927--942 (2007; Zbl 1122.65045) Full Text: DOI OpenURL
Lipitakis, Elias A. On sparse approximate inverse matrix techniques and Evans preconditions methods. (English) Zbl 1188.65152 Neural Parallel Sci. Comput. 14, No. 2-3, 135-156 (2006). MSC: 65N30 35J25 65M60 35K20 65F08 35J65 35K55 65Y05 65F50 PDF BibTeX XML Cite \textit{E. A. Lipitakis}, Neural Parallel Sci. Comput. 14, No. 2--3, 135--156 (2006; Zbl 1188.65152) OpenURL
González, Luis Orthogonal projections of the identity: spectral analysis and applications to approximate inverse preconditioning. (English) Zbl 1095.65042 SIAM Rev. 48, No. 1, 66-75 (2006). Reviewer: Michael Jung (Dresden) MSC: 65F35 15A12 15A18 15A60 PDF BibTeX XML Cite \textit{L. González}, SIAM Rev. 48, No. 1, 66--75 (2006; Zbl 1095.65042) Full Text: DOI OpenURL
Sun, Jiachang Approximate eigen-decomposition preconditioners for solving numerical PDE problems. (English) Zbl 1088.65041 Appl. Math. Comput. 172, No. 2, 772-787 (2006). MSC: 65F35 65N30 65F10 35J05 PDF BibTeX XML Cite \textit{J. Sun}, Appl. Math. Comput. 172, No. 2, 772--787 (2006; Zbl 1088.65041) Full Text: DOI OpenURL
Rezghi, Mansoor; Hosseini, S. Mohammad An ILU preconditioner for nonsymmetric positive definite matrices by using the conjugate Gram-Schmidt process. (English) Zbl 1096.65042 J. Comput. Appl. Math. 188, No. 1, 150-164 (2006). Reviewer: Georg Hebermehl (Berlin) MSC: 65F35 65F10 PDF BibTeX XML Cite \textit{M. Rezghi} and \textit{S. M. Hosseini}, J. Comput. Appl. Math. 188, No. 1, 150--164 (2006; Zbl 1096.65042) Full Text: DOI OpenURL
Wang, Haitao; Yao, Zhenhan; Wang, Pengbo On the preconditioners for fast multipole boundary element methods for 2D multi-domain elastostatics. (English) Zbl 1182.74242 Eng. Anal. Bound. Elem. 29, No. 7, 673-688 (2005). MSC: 74S15 65F08 65F50 74B05 PDF BibTeX XML Cite \textit{H. Wang} et al., Eng. Anal. Bound. Elem. 29, No. 7, 673--688 (2005; Zbl 1182.74242) 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
Bergamaschi, Luca; Pini, Giorgio; Sartoretto, Flavio Computational experience with sequential and parallel, preconditioned Jacobi–Davidson for large, sparse symmetric matrices. (English) Zbl 1022.65037 J. Comput. Phys. 188, No. 1, 318-331 (2003). MSC: 65F15 65F35 65Y05 65F50 PDF BibTeX XML Cite \textit{L. Bergamaschi} et al., J. Comput. Phys. 188, No. 1, 318--331 (2003; Zbl 1022.65037) Full Text: DOI OpenURL
Guillaume, P.; Huard, A.; Le Calvez, C. A multipole approach for preconditioners. (English) Zbl 1062.65042 Sloot, Peter M. A. (ed.) et al., Computational science - ICCS 2002. 2nd international conference, Amsterdam, the Netherlands, April. 21–24, 2002. Proceedings. Part 2. Berlin: Springer (ISBN 3-540-43593-X). Lect. Notes Comput. Sci. 2330, 364-373 (2002). MSC: 65F10 65F35 65F50 65N55 PDF BibTeX XML Cite \textit{P. Guillaume} et al., Lect. Notes Comput. Sci. 2330, 364--373 (2002; Zbl 1062.65042) Full Text: Link OpenURL
Bollhöfer, Matthias; Saad, Yousef A factored approximate inverse preconditioner with pivoting. (English) Zbl 0999.65027 SIAM J. Matrix Anal. Appl. 23, No. 3, 692-705 (2002). MSC: 65F35 65F05 65F10 65F50 PDF BibTeX XML Cite \textit{M. Bollhöfer} and \textit{Y. Saad}, SIAM J. Matrix Anal. Appl. 23, No. 3, 692--705 (2002; Zbl 0999.65027) Full Text: DOI OpenURL
Kharchenko, S. A.; Kolotilina, L. Yu.; Nikishin, A. A.; Yeremin, A. Yu. A robust AINV-type method for constructing sparse approximate inverse preconditioners in factored form. (English) Zbl 1051.65057 Numer. Linear Algebra Appl. 8, No. 3, 165-179 (2001). MSC: 65F35 65F10 65Y20 PDF BibTeX XML Cite \textit{S. A. Kharchenko} et al., Numer. Linear Algebra Appl. 8, No. 3, 165--179 (2001; Zbl 1051.65057) Full Text: DOI OpenURL
Bridson, Robert; Tang, Wei-Pai Refining an approximate inverse. (English) Zbl 0982.65035 J. Comput. Appl. Math. 123, No. 1-2, 293-306 (2000). Reviewer: Ulrich Langer (Linz) MSC: 65F10 65Y20 65F35 68W30 PDF BibTeX XML Cite \textit{R. Bridson} and \textit{W.-P. Tang}, J. Comput. Appl. Math. 123, No. 1--2, 293--306 (2000; Zbl 0982.65035) Full Text: DOI OpenURL
Gravvanis, George A. Generalized approximate inverse finite element matrix techniques. (English) Zbl 0948.65031 Neural Parallel Sci. Comput. 7, No. 4, 487-500 (1999). Reviewer: U.Langer (Linz) MSC: 65F10 65F35 65F50 35J25 65N30 PDF BibTeX XML Cite \textit{G. A. Gravvanis}, Neural Parallel Sci. Comput. 7, No. 4, 487--500 (1999; Zbl 0948.65031) OpenURL
Tang, Wei-Pai Toward an effective sparse approximate inverse preconditioner. (English) Zbl 0937.65056 SIAM J. Matrix Anal. Appl. 20, No. 4, 970-986 (1999). Reviewer: U.Langer (Linz) MSC: 65F35 65F10 65F50 65Y05 65N30 65N06 PDF BibTeX XML Cite \textit{W.-P. Tang}, SIAM J. Matrix Anal. Appl. 20, No. 4, 970--986 (1999; Zbl 0937.65056) Full Text: DOI OpenURL
Benzi, Michele; Tuma, Miroslav A comparative study of sparse approximate inverse preconditioners. (English) Zbl 0949.65043 Appl. Numer. Math. 30, No. 2-3, 305-340 (1999). Reviewer: Juan Pedro Milaszewicz (Ioannina) MSC: 65F35 65F10 65F50 PDF BibTeX XML Cite \textit{M. Benzi} and \textit{M. Tuma}, Appl. Numer. Math. 30, No. 2--3, 305--340 (1999; Zbl 0949.65043) Full Text: DOI OpenURL
Chow, Edmond; Saad, Yousef Approximate inverse preconditioners via sparse-sparse iterations. (English) Zbl 0922.65034 SIAM J. Sci. Comput. 19, No. 3, 995-1023 (1998). Reviewer: U.Langer (Linz) MSC: 65F35 65F10 65F50 65Y05 PDF BibTeX XML Cite \textit{E. Chow} and \textit{Y. Saad}, SIAM J. Sci. Comput. 19, No. 3, 995--1023 (1998; Zbl 0922.65034) Full Text: DOI OpenURL
Alléon, Guillaume; Benzi, Michele; Giraud, Luc Sparse approximate inverse preconditioning for dense linear systems arising in computational electromagnetics. (English) Zbl 0895.65017 Numer. Algorithms 16, No. 1, 1-15 (1997). Reviewer: Th.Sonar (Hamburg) MSC: 65F35 65Y05 65F10 78M25 65F50 PDF BibTeX XML Cite \textit{G. Alléon} et al., Numer. Algorithms 16, No. 1, 1--15 (1997; Zbl 0895.65017) Full Text: DOI OpenURL
Chow, Edmond; Saad, Yousef Approximate inverse techniques for block-partitioned matrices. (English) Zbl 0888.65035 SIAM J. Sci. Comput. 18, No. 6, 1657-1675 (1997). Reviewer: F.Szidarovszky (Tucson) MSC: 65F10 76D05 65F50 65F35 PDF BibTeX XML Cite \textit{E. Chow} and \textit{Y. Saad}, SIAM J. Sci. Comput. 18, No. 6, 1657--1675 (1997; Zbl 0888.65035) Full Text: DOI OpenURL
Bruaset, Are Magnus A survey of preconditioned iterative methods. (English) Zbl 0834.65014 Pitman Research Notes in Mathematics Series. 328. Harlow: Longman. xii, 162 p. (1995). Reviewer: J.Mandel (Denver) MSC: 65F10 65-00 65F50 65F35 65N55 PDF BibTeX XML Cite \textit{A. M. Bruaset}, A survey of preconditioned iterative methods. Harlow: Longman (1995; Zbl 0834.65014) OpenURL
Kolotilina, L. Yu.; Eremin, A. Yu. Factorized sparse approximate inverse preconditionings. I: Theory. (English) Zbl 0767.65037 SIAM J. Matrix Anal. Appl. 14, No. 1, 45-58 (1993). Reviewer: U.Langer (Chemnitz) MSC: 65F35 65F10 65F50 65Y05 74S05 65N30 35J25 PDF BibTeX XML Cite \textit{L. Yu. Kolotilina} and \textit{A. Yu. Eremin}, SIAM J. Matrix Anal. Appl. 14, No. 1, 45--58 (1993; Zbl 0767.65037) Full Text: DOI OpenURL