Tielen, Roel; Möller, Matthias; Vuik, Kees A block ILUT smoother for multipatch geometries in isogeometric analysis. (English) Zbl 1497.65237 Manni, Carla (ed.) et al., Geometric challenges in isogeometric analysis. Selected papers based on the presentations at the workshop, Rome, Italy, January 27–31, 2020. Cham: Springer. Springer INdAM Ser. 49, 259-278 (2022). MSC: 65N30 65D07 65F10 65N55 PDFBibTeX XMLCite \textit{R. Tielen} et al., Springer INdAM Ser. 49, 259--278 (2022; Zbl 1497.65237) Full Text: DOI
Tielen, R.; Möller, M.; Göddeke, D.; Vuik, C. \(p\)-multigrid methods and their comparison to \(h\)-multigrid methods within isogeometric analysis. (English) Zbl 1506.65243 Comput. Methods Appl. Mech. Eng. 372, Article ID 113347, 27 p. (2020). MSC: 65N55 65D07 PDFBibTeX XMLCite \textit{R. Tielen} et al., Comput. Methods Appl. Mech. Eng. 372, Article ID 113347, 27 p. (2020; Zbl 1506.65243) Full Text: DOI arXiv
Dansou, Anicet; Mouhoubi, Saïda; Chazallon, Cyrille Optimizations of a fast multipole symmetric Galerkin boundary element method code. (English) Zbl 1442.65413 Numer. Algorithms 84, No. 3, 825-846 (2020). MSC: 65N38 65N30 65F50 74S15 74R10 65Y05 PDFBibTeX XMLCite \textit{A. Dansou} et al., Numer. Algorithms 84, No. 3, 825--846 (2020; Zbl 1442.65413) Full Text: DOI Link
Corsaro, S.; Marazzina, D.; Marino, Z. A parallel wavelet-based pricing procedure for Asian options. (English) Zbl 1398.91667 Quant. Finance 15, No. 1, 101-113 (2015). MSC: 91G60 91G20 65T60 91-04 65Y05 PDFBibTeX XMLCite \textit{S. Corsaro} et al., Quant. Finance 15, No. 1, 101--113 (2015; Zbl 1398.91667) Full Text: DOI Link
Porcelli, Margherita; Binante, Vincenzo; Girardi, Maria; Padovani, Cristina; Pasquinelli, Giuseppe A solution procedure for constrained eigenvalue problems and its application within the structural finite-element code NOSA-ITACA. (English) Zbl 1320.74107 Calcolo 52, No. 2, 167-186 (2015). MSC: 74S05 65F15 65N25 65N30 70J10 PDFBibTeX XMLCite \textit{M. Porcelli} et al., Calcolo 52, No. 2, 167--186 (2015; Zbl 1320.74107) Full Text: DOI
Janna, Carlo; Castelletto, Nicola; Ferronato, Massimiliano The effect of graph partitioning techniques on parallel block FSAI preconditioning: a computational study. (English) Zbl 1312.65037 Numer. Algorithms 68, No. 4, 813-836 (2015). MSC: 65F08 65F10 65Y05 PDFBibTeX XMLCite \textit{C. Janna} et al., Numer. Algorithms 68, No. 4, 813--836 (2015; Zbl 1312.65037) Full Text: DOI
Abdel-Rehim, A. M.; Stathopoulos, Andreas; Orginos, Kostas Extending the eigCG algorithm to nonsymmetric Lanczos for linear systems with multiple right-hand sides. (English) Zbl 1340.65056 Numer. Linear Algebra Appl. 21, No. 4, 473-493 (2014). Reviewer: Ronald B. Morgan (Waco) MSC: 65F15 65F10 15A06 15A18 65F50 81V05 PDFBibTeX XMLCite \textit{A. M. Abdel-Rehim} et al., Numer. Linear Algebra Appl. 21, No. 4, 473--493 (2014; Zbl 1340.65056) Full Text: DOI arXiv
Gundersen, Geir; Steihaug, Trond On diagonally structured problems in unconstrained optimization using an inexact super Halley method. (English) Zbl 1256.65055 J. Comput. Appl. Math. 236, No. 15, 3685-3695 (2012). Reviewer: Otu Vaarmann (Tallinn) MSC: 65K05 90C06 65H10 90C30 PDFBibTeX XMLCite \textit{G. Gundersen} and \textit{T. Steihaug}, J. Comput. Appl. Math. 236, No. 15, 3685--3695 (2012; Zbl 1256.65055) Full Text: DOI
Sidje, Roger B.; Saad, Yousef Rational approximation to the Fermi-Dirac function with applications in density functional theory. (English) Zbl 1211.65026 Numer. Algorithms 56, No. 3, 455-479 (2011). MSC: 65D20 81Q05 65F05 33E20 33F05 PDFBibTeX XMLCite \textit{R. B. Sidje} and \textit{Y. Saad}, Numer. Algorithms 56, No. 3, 455--479 (2011; Zbl 1211.65026) Full Text: DOI
Manguoglu, Murat; Koyutürk, Mehmet; Sameh, Ahmed H.; Grama, Ananth Weighted matrix ordering and parallel banded preconditioners for iterative linear system solvers. (English) Zbl 1213.65056 SIAM J. Sci. Comput. 32, No. 3, 1201-1216 (2010). MSC: 65F10 65F08 65F50 65Y05 PDFBibTeX XMLCite \textit{M. Manguoglu} et al., SIAM J. Sci. Comput. 32, No. 3, 1201--1216 (2010; Zbl 1213.65056) Full Text: DOI
Migallón, Héctor; Migallón, Violeta; Penadés, Jose Alternating two-stage methods for consistent linear systems with applications to the parallel solution of Markov chains. (English) Zbl 1184.65039 Adv. Eng. Softw. 41, No. 1, 13-21 (2010). Reviewer: Dietrich Braess (Bochum) MSC: 65F10 65Y05 65C40 PDFBibTeX XMLCite \textit{H. Migallón} et al., Adv. Eng. Softw. 41, No. 1, 13--21 (2010; Zbl 1184.65039) Full Text: DOI
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 PDFBibTeX XMLCite \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
Martínez, A.; Bergamaschi, L.; Caliari, M.; Vianello, M. A massively parallel exponential integrator for advection-diffusion models. (English) Zbl 1167.65443 J. Comput. Appl. Math. 231, No. 1, 82-91 (2009). MSC: 65M70 PDFBibTeX XMLCite \textit{A. Martínez} et al., J. Comput. Appl. Math. 231, No. 1, 82--91 (2009; Zbl 1167.65443) Full Text: DOI
Sun, Jia-Chang; Cao, Jian-Wen; Yang, Chao Parallel preconditioners for large scale partial difference equation systems. (English) Zbl 1160.65014 J. Comput. Appl. Math. 226, No. 1, 125-135 (2009). MSC: 65F35 65N06 65F10 65M06 65Y05 35L65 PDFBibTeX XMLCite \textit{J.-C. Sun} et al., J. Comput. Appl. Math. 226, No. 1, 125--135 (2009; Zbl 1160.65014) Full Text: DOI
Sala, Marzio; Spotz, William F.; Heroux, Michael A. PyTrilinos: High-performance distributed-memory solvers for Python. (English) Zbl 1291.65399 ACM Trans. Math. Softw. 34, No. 2, Art. 7, 33 p. (2008). MSC: 65Y15 65Y05 65F10 65N55 68W10 68U35 PDFBibTeX XMLCite \textit{M. Sala} et al., ACM Trans. Math. Softw. 34, No. 2, Art. 7, 33 p. (2008; Zbl 1291.65399) Full Text: DOI
Garcia, V. M.; Acevedo, L.; Vidal, A. M. Variants of algebraic wavelet-based multigrid methods: Application to shifted linear systems. (English) Zbl 1147.65027 Appl. Math. Comput. 202, No. 1, 287-299 (2008). MSC: 65F10 65F35 65T60 65F15 65F50 PDFBibTeX XMLCite \textit{V. M. Garcia} et al., Appl. Math. Comput. 202, No. 1, 287--299 (2008; Zbl 1147.65027) Full Text: DOI
Hernández, Vicente; Ibáñez, Jacinto Javier; Peinado, Jesús; Arias, Enrique A GMRES-based BDF method for solving differential Riccati equations. (English) Zbl 1135.65340 Appl. Math. Comput. 196, No. 2, 613-626 (2008). MSC: 65L05 34A34 65L12 65F30 65F10 65H10 PDFBibTeX XMLCite \textit{V. Hernández} et al., Appl. Math. Comput. 196, No. 2, 613--626 (2008; Zbl 1135.65340) Full Text: DOI
Ribeiro, F. L. B.; Ferreira, I. A. Parallel implementation of the finite element method using compressed data structures. (English) Zbl 1162.76361 Comput. Mech. 41, No. 1, 31-48 (2007). MSC: 76M10 76S05 65Y05 86A05 PDFBibTeX XMLCite \textit{F. L. B. Ribeiro} and \textit{I. A. Ferreira}, Comput. Mech. 41, No. 1, 31--48 (2007; Zbl 1162.76361) Full Text: DOI
Bergamaschi, L.; Gambolati, G.; Pini, G. A numerical experimental study of inverse preconditioning for the parallel iterative solution to 3D finite element flow equations. (English) Zbl 1134.65023 J. Comput. Appl. Math. 210, No. 1-2, 64-70 (2007). MSC: 65F10 65F50 76M10 76M20 76S05 65F35 65Y05 PDFBibTeX XMLCite \textit{L. Bergamaschi} et al., J. Comput. Appl. Math. 210, No. 1--2, 64--70 (2007; Zbl 1134.65023) Full Text: DOI
Koko, Jonas Lagrange multiplier-based domain decomposition methods for a non-linear sedimentary basin problem. (English) Zbl 1128.65104 Comput. Geosci. 11, No. 4, 307-317 (2007). MSC: 65N55 35J65 65N30 65H10 86A60 76S05 76M10 PDFBibTeX XMLCite \textit{J. Koko}, Comput. Geosci. 11, No. 4, 307--317 (2007; Zbl 1128.65104) Full Text: DOI
Pravilnikov, V. Y.; Diyankov, O. V.; Kotegov, S. S.; Koshelev, S. V.; Krasnogorov, I. V.; Kuznetsova, N. N. FILU: An efficient incomplete LU preconditioner. (English) Zbl 1124.65037 Russ. J. Numer. Anal. Math. Model. 22, No. 4, 413-430 (2007). MSC: 65F10 65F35 PDFBibTeX XMLCite \textit{V. Y. Pravilnikov} et al., Russ. J. Numer. Anal. Math. Model. 22, No. 4, 413--430 (2007; Zbl 1124.65037) Full Text: DOI
Arnal, J.; Migallón, H.; Migallón, V.; Penadés, J. Parallel Newton two-stage methods based on ILU factorizations for nonlinear systems. (English) Zbl 1174.65406 Numer. Linear Algebra Appl. 13, No. 7, 553-572 (2006). MSC: 65H10 65Y05 PDFBibTeX XMLCite \textit{J. Arnal} et al., Numer. Linear Algebra Appl. 13, No. 7, 553--572 (2006; Zbl 1174.65406) Full Text: DOI
Mayer, Jan Alternative weighted dropping strategies for ILUTP. (English) Zbl 1095.65026 SIAM J. Sci. Comput. 27, No. 4, 1424-1437 (2006). MSC: 65F10 65F35 65F50 PDFBibTeX XMLCite \textit{J. Mayer}, SIAM J. Sci. Comput. 27, No. 4, 1424--1437 (2006; Zbl 1095.65026) Full Text: DOI
Arnal, Josep; Migallón, Héctor; Migallón, Violeta; Penadés, José Parallel Newton iterative methods based on incomplete LU factorizations for solving nonlinear systems. (English) Zbl 1118.65331 Daydé, Michel (ed.) et al., High performance computing for computational science – VECPAR 2004. 6th international conference, Valencia, Spain, June 28–30, 2004. Revised selected and invited papers. Berlin: Springer (ISBN 3-540-25424-2/pbk). Lecture Notes in Computer Science 3402, 716-729 (2005). MSC: 65H10 65Y05 65Y10 PDFBibTeX XMLCite \textit{J. Arnal} et al., Lect. Notes Comput. Sci. 3402, 716--729 (2005; Zbl 1118.65331) Full Text: DOI
Papadopoulos, A. T.; Duff, I. S.; Wathen, A. J. A class of incomplete orthogonal factorization methods. II: Implemetation and results. (English) Zbl 1080.65028 BIT 45, No. 1, 159-179 (2005). Reviewer: Nikolai L. Vulchanov (Warsaw) MSC: 65F20 65F10 65F25 65F35 65F50 PDFBibTeX XMLCite \textit{A. T. Papadopoulos} et al., BIT 45, No. 1, 159--179 (2005; Zbl 1080.65028) Full Text: DOI
Emad, Nahid; Petiton, Serge; Edjlali, Guy Multiple explicitly restarted Arnoldi method for solving large eigenproblems. (English) Zbl 1087.65034 SIAM J. Sci. Comput. 27, No. 1, 253-277 (2005). MSC: 65F15 65F50 65Y05 PDFBibTeX XMLCite \textit{N. Emad} et al., SIAM J. Sci. Comput. 27, No. 1, 253--277 (2005; Zbl 1087.65034) Full Text: DOI
Li, Na; Saad, Yousef Crout versions of ILU factorization with pivoting for sparse symmetric matrices. (English) Zbl 1075.65045 ETNA, Electron. Trans. Numer. Anal. 20, 75-85 (2005). MSC: 65F10 65F05 65F35 65F50 PDFBibTeX XMLCite \textit{N. Li} and \textit{Y. Saad}, ETNA, Electron. Trans. Numer. Anal. 20, 75--85 (2005; Zbl 1075.65045) Full Text: EuDML EMIS
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 PDFBibTeX XMLCite \textit{N. Guessous} and \textit{O. Souhar}, J. Appl. Math. Comput. 17, No. 1--2, 283--296 (2005; Zbl 1064.65026) Full Text: DOI
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 PDFBibTeX XMLCite \textit{D. K. Salkuyeh} and \textit{F. Toutounian}, Appl. Math. Comput. 162, No. 3, 1499--1509 (2005; Zbl 1063.65027) Full Text: DOI
Ma, Sangback Comparisons of the parallel preconditioners for large nonsymmetric sparse linear systems on a parallel computer. (English) Zbl 1071.65533 Int. J. High Speed Comput. 12, No. 1, 55-68 (2004). MSC: 65F35 65F50 65F10 65N06 65Y05 PDFBibTeX XMLCite \textit{S. Ma}, Int. J. High Speed Comput. 12, No. 1, 55--68 (2004; Zbl 1071.65533) Full Text: DOI
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 PDFBibTeX XMLCite \textit{N. Guessous} and \textit{O. Souhar}, J. Appl. Math. Comput. 16, No. 1--2, 19--35 (2004; Zbl 1069.65027) Full Text: DOI
Echebest, N.; Guardarucci, M. T.; Scolnik, H.; Vacchino, M. C. An acceleration scheme for solving convex feasibility problems using incomplete projection algorithms. (English) Zbl 1056.65027 Numer. Algorithms 35, No. 2-4, 331-350 (2004). Reviewer: Liu Xinguo (Qingdao) MSC: 65F10 15A39 65K05 90C05 PDFBibTeX XMLCite \textit{N. Echebest} et al., Numer. Algorithms 35, No. 2--4, 331--350 (2004; Zbl 1056.65027) Full Text: DOI
Snyder, D. O.; Degrez, G. Large-eddy simulation with complex 2-D geometries using a parallel finite-element/spectral algorithm. (English) Zbl 1047.76036 Int. J. Numer. Methods Fluids 41, No. 10, 1119-1135 (2003). MSC: 76F65 76M10 76M22 65Y05 PDFBibTeX XMLCite \textit{D. O. Snyder} and \textit{G. Degrez}, Int. J. Numer. Methods Fluids 41, No. 10, 1119--1135 (2003; Zbl 1047.76036) Full Text: DOI
Li, Na; Saad, Yousef; Chow, Edmond Crout versions of ILU for general sparse matrices. (English) Zbl 1042.65025 SIAM J. Sci. Comput. 25, No. 2, 716-728 (2003). MSC: 65F10 65F05 65F35 65F50 PDFBibTeX XMLCite \textit{N. Li} et al., SIAM J. Sci. Comput. 25, No. 2, 716--728 (2003; Zbl 1042.65025) Full Text: DOI
Saad, Yousef Finding exact and approximate block structures for ILU preconditioning. (English) Zbl 1034.65020 SIAM J. Sci. Comput. 24, No. 4, 1107-1123 (2003). MSC: 65F10 65F35 65F50 PDFBibTeX XMLCite \textit{Y. Saad}, SIAM J. Sci. Comput. 24, No. 4, 1107--1123 (2003; Zbl 1034.65020) Full Text: DOI
Mateescu, Gabriel; Ribbens, Calvin J.; Watson, Layne T. A domain decomposition preconditioner for Hermite collocation problems. (English) Zbl 1017.65094 Numer. Methods Partial Differ. Equations 19, No. 2, 135-151 (2003). MSC: 65N35 65N55 65F35 35J25 65F10 65Y05 PDFBibTeX XMLCite \textit{G. Mateescu} et al., Numer. Methods Partial Differ. Equations 19, No. 2, 135--151 (2003; Zbl 1017.65094) Full Text: DOI Link
Jimack, P. K.; Nadeem, S. A. A parallel domain decomposition algorithm for the adaptive finite element solution of 3-D convection-diffusion problems. (English) Zbl 1062.65130 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, 797-805 (2002). MSC: 65N55 65N30 65N50 65F10 65F35 65Y05 35J25 PDFBibTeX XMLCite \textit{P. K. Jimack} and \textit{S. A. Nadeem}, Lect. Notes Comput. Sci. 2330, 797--805 (2002; Zbl 1062.65130) Full Text: Link
Nadeem, S. A.; Jimack, P. K. Parallel implementation of an optimal two-level additive Schwarz preconditioner for the 3-D finite element solution of elliptic partial differential equations. (English) Zbl 1018.65127 Int. J. Numer. Methods Fluids 40, No. 12, 1571-1579 (2002). MSC: 65N30 65N55 65Y05 35J05 35J25 PDFBibTeX XMLCite \textit{S. A. Nadeem} and \textit{P. K. Jimack}, Int. J. Numer. Methods Fluids 40, No. 12, 1571--1579 (2002; Zbl 1018.65127) Full Text: DOI Link
Stathopoulos, Andreas A case for a biorthogonal Jacobi–Davidson method: Restarting and correction equation. (English) Zbl 1016.65016 SIAM J. Matrix Anal. Appl. 24, No. 1, 238-259 (2002). Reviewer: Miloslav Znojil (Řež) MSC: 65F15 PDFBibTeX XMLCite \textit{A. Stathopoulos}, SIAM J. Matrix Anal. Appl. 24, No. 1, 238--259 (2002; Zbl 1016.65016) Full Text: DOI
Juncu, Gh.; Popa, C. Preconditioning by gram matrix approximation for diffusion-convection-reaction equations with discontinuous coefficients. (English) Zbl 1005.68044 Math. Comput. Simul. 60, No. 6, 487-506 (2002). MSC: 68N30 35J25 65F10 65F35 35R05 PDFBibTeX XMLCite \textit{Gh. Juncu} and \textit{C. Popa}, Math. Comput. Simul. 60, No. 6, 487--506 (2002; Zbl 1005.68044) Full Text: DOI
Scolnik, H.; Echebest, N.; Guardarucci, M. T.; Vacchino, M. C. A class of optimized row projection methods for solving large nonsymmetric linear systems. (English) Zbl 1006.65029 Appl. Numer. Math. 41, No. 4, 499-513 (2002). Reviewer: Willi Schönauer (Karlsruhe) MSC: 65F10 65Y05 90C20 90C90 PDFBibTeX XMLCite \textit{H. Scolnik} et al., Appl. Numer. Math. 41, No. 4, 499--513 (2002; Zbl 1006.65029) Full Text: DOI
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 PDFBibTeX XMLCite \textit{M. Bollhöfer} and \textit{Y. Saad}, SIAM J. Matrix Anal. Appl. 23, No. 3, 692--705 (2002; Zbl 0999.65027) Full Text: DOI
Jimack, Peter K.; Nadeem, Sarfraz A. Parallel application of a novel domain decomposition preconditioner for the stable finite element solution of three-dimensional convection-dominated PDEs. (English) Zbl 1007.65503 Sakellariou, Rizos (ed.) et al., Euro-Par 2001 Parallel processing. 7th international Euro-Par conference, Manchester, GB, August 28-31, 2001. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 2150, 592-601 (2001). MSC: 65Y05 65F10 PDFBibTeX XMLCite \textit{P. K. Jimack} and \textit{S. A. Nadeem}, Lect. Notes Comput. Sci. 2150, 592--601 (2001; Zbl 1007.65503)
Bollhöfer, Matthias A robust ILU with pivoting based on monitoring the growth of the inverse factors. (English) Zbl 0991.65028 Linear Algebra Appl. 338, No. 1-3, 201-218 (2001). MSC: 65F05 65F10 65F35 65F50 PDFBibTeX XMLCite \textit{M. Bollhöfer}, Linear Algebra Appl. 338, No. 1--3, 201--218 (2001; Zbl 0991.65028) Full Text: DOI
Saad, Y. Parallel iterative methods for sparse linear systems. (English) Zbl 1002.65042 Butnariu, Dan (ed.) et al., Inherently parallel algorithms in feasibility and optimization and their applications. Research workshop, Haifa, Israel, March 13-16, 2000. Amsterdam: North-Holland/ Elsevier. Stud. Comput. Math. 8, 423-440 (2001). MSC: 65F10 65F35 76T99 65F50 65Y05 65N55 PDFBibTeX XMLCite \textit{Y. Saad}, Stud. Comput. Math. 8, 423--440 (2001; Zbl 1002.65042)
Sosonkina, Maria; Melson, John T.; Saad, Yousef; Watson, Layne T. Preconditioning strategies for linear systems arising in tire design. (English) Zbl 1051.65060 Numer. Linear Algebra Appl. 7, No. 7-8, 743-757 (2000). Reviewer: Jan Chleboun (Praha) MSC: 65F35 65F50 65Y20 65F10 PDFBibTeX XMLCite \textit{M. Sosonkina} et al., Numer. Linear Algebra Appl. 7, No. 7--8, 743--757 (2000; Zbl 1051.65060) Full Text: DOI
Basermann, Achim Parallel block ILUT/ILDLT preconditioning for sparse eigenproblems and sparse linear systems. (English) Zbl 1051.65049 Numer. Linear Algebra Appl. 7, No. 7-8, 635-648 (2000). MSC: 65F35 65Y05 65F15 65Y20 PDFBibTeX XMLCite \textit{A. Basermann}, Numer. Linear Algebra Appl. 7, No. 7--8, 635--648 (2000; Zbl 1051.65049) Full Text: DOI
Lin, Chih-Jen; Saigal, Romesh An incomplete Cholesky factorization for dense symmetric positive definite matrices. (English) Zbl 0960.65033 BIT 40, No. 3, 536-558 (2000). Reviewer: Dietrich Braess (Bochum) MSC: 65F10 65F05 65F35 PDFBibTeX XMLCite \textit{C.-J. Lin} and \textit{R. Saigal}, BIT 40, No. 3, 536--558 (2000; Zbl 0960.65033) Full Text: DOI
van Duin, Arno C. N. Scalable parallel preconditioning with the sparse approximate inverse of triangular matrices. (English) Zbl 0936.65028 SIAM J. Matrix Anal. Appl. 20, No. 4, 987-1006 (1999). Reviewer: H.Hollatz (Magdeburg) MSC: 65F10 65F50 65Y05 65F35 PDFBibTeX XMLCite \textit{A. C. N. van Duin}, SIAM J. Matrix Anal. Appl. 20, No. 4, 987--1006 (1999; Zbl 0936.65028) Full Text: DOI
Meerbergen, Karl; Sadkane, Miloud Using Krylov approximations to the matrix exponential operator in Davidson’s method. (English) Zbl 0942.65036 Appl. Numer. Math. 31, No. 3, 331-351 (1999). Reviewer: Juan Pedro Milaszewicz (Buenos Aires) MSC: 65F15 PDFBibTeX XMLCite \textit{K. Meerbergen} and \textit{M. Sadkane}, Appl. Numer. Math. 31, No. 3, 331--351 (1999; Zbl 0942.65036) Full Text: DOI
Sadkane, Miloud; Sidje, Roger B. Implementation of a variable block Davidson method with deflation for solving large sparse eigenproblems. (English) Zbl 0940.65039 Numer. Algorithms 20, No. 2-3, 217-240 (1999). Reviewer: Myron Sussman (Bethel Park) MSC: 65F15 65F50 65Y15 65F35 PDFBibTeX XMLCite \textit{M. Sadkane} and \textit{R. B. Sidje}, Numer. Algorithms 20, No. 2--3, 217--240 (1999; Zbl 0940.65039) Full Text: DOI
Benzi, Michele; Szyld, Daniel B.; van Duin, Arno C. N. Orderings for incomplete factorization preconditioning of nonsymmetric problems. (English) Zbl 0940.65033 SIAM J. Sci. Comput. 20, No. 5, 1652-1670 (1999). Reviewer: E.D’yakonov (Moskva) MSC: 65F10 65F35 65F50 35J25 65N06 PDFBibTeX XMLCite \textit{M. Benzi} et al., SIAM J. Sci. Comput. 20, No. 5, 1652--1670 (1999; Zbl 0940.65033) Full Text: DOI
Chow, Edmond; Heroux, Michael A. An object-oriented framework for block preconditioning. (English) Zbl 0930.65052 ACM Trans. Math. Softw. 24, No. 2, 159-183 (1998). MSC: 65F35 65F10 68N19 PDFBibTeX XMLCite \textit{E. Chow} and \textit{M. A. Heroux}, ACM Trans. Math. Softw. 24, No. 2, 159--183 (1998; Zbl 0930.65052) Full Text: DOI
Castillo, Paul; Saad, Yousef Preconditioning the matrix exponential operator with applications. (English) Zbl 0929.65024 J. Sci. Comput. 13, No. 3, 275-302 (1998). Reviewer: Emil Minchev (Sofia) MSC: 65F30 65F35 34A30 65L06 PDFBibTeX XMLCite \textit{P. Castillo} and \textit{Y. Saad}, J. Sci. Comput. 13, No. 3, 275--302 (1998; Zbl 0929.65024) Full Text: DOI
Lehoucq, R. B.; Meerbergen, Karl Using generalized Cayley transformations within an inexact rational Krylov sequence method. (English) Zbl 0931.65035 SIAM J. Matrix Anal. Appl. 20, No. 1, 131-148 (1998). Reviewer: A.L.Andrew (Bundoora) MSC: 65F15 65F50 PDFBibTeX XMLCite \textit{R. B. Lehoucq} and \textit{K. Meerbergen}, SIAM J. Matrix Anal. Appl. 20, No. 1, 131--148 (1998; Zbl 0931.65035) Full Text: DOI
Wu, Kesheng; Saad, Yousef; Stathopoulos, Andreas Inexact Newton preconditioning techniques for large symmetric eigenvalue problems. (English) Zbl 0916.65035 ETNA, Electron. Trans. Numer. Anal. 7, 202-214 (1998). Reviewer: Gunther Reißig (Dresden) MSC: 65F15 65F35 PDFBibTeX XMLCite \textit{K. Wu} et al., ETNA, Electron. Trans. Numer. Anal. 7, 202--214 (1998; Zbl 0916.65035) Full Text: EuDML EMIS
Vasconcelos, Paulo B.; D’Almeida, Filomena D. Preconditioned iterative methods for coupled discretizations of fluid flow problems. (English) Zbl 0910.76051 IMA J. Numer. Anal. 18, No. 3, 385-397 (1998). MSC: 76M20 65F10 65F35 PDFBibTeX XMLCite \textit{P. B. Vasconcelos} and \textit{F. D. D'Almeida}, IMA J. Numer. Anal. 18, No. 3, 385--397 (1998; Zbl 0910.76051) Full Text: DOI
Benzi, Michele; Tuma, Miroslav A sparse approximate inverse preconditioner for nonsymmetric linear systems. (English) Zbl 0930.65027 SIAM J. Sci. Comput. 19, No. 3, 968-994 (1998). Reviewer: Myron Sussman (Bethel Park) MSC: 65F10 65F50 65Y05 65F35 PDFBibTeX XMLCite \textit{M. Benzi} and \textit{M. Tuma}, SIAM J. Sci. Comput. 19, No. 3, 968--994 (1998; Zbl 0930.65027) Full Text: DOI
Meerbergen, Karl; Roose, Dirk The restarted Arnoldi method applied to iterative linear system solvers for the computation of rightmost eigenvalues. (English) Zbl 0872.65038 SIAM J. Matrix Anal. Appl. 18, No. 1, 1-20 (1997). Reviewer: G.Stoyan (Budapest) MSC: 65F15 65F50 PDFBibTeX XMLCite \textit{K. Meerbergen} and \textit{D. Roose}, SIAM J. Matrix Anal. Appl. 18, No. 1, 1--20 (1997; Zbl 0872.65038) Full Text: DOI
Notay, Y.; Amar, Z. O. A nearly optimal preconditioning based on recursive red-black orderings. (English) Zbl 0890.65041 Numer. Linear Algebra Appl. 4, No. 5, 369-391 (1997). Reviewer: Jan Zítko (Praha) MSC: 65F35 65F10 35J05 65N06 PDFBibTeX XMLCite \textit{Y. Notay} and \textit{Z. O. Amar}, Numer. Linear Algebra Appl. 4, No. 5, 369--391 (1997; Zbl 0890.65041) Full Text: DOI
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 PDFBibTeX XMLCite \textit{E. Chow} and \textit{Y. Saad}, SIAM J. Sci. Comput. 18, No. 6, 1657--1675 (1997; Zbl 0888.65035) Full Text: DOI
Botta, E. F. F.; Dekker, K.; Notay, Y.; van der Ploeg, A.; Vuik, C.; Wubs, F. W.; de Zeeuw, P. M. How fast the Laplace equation was solved in 1995. (English) Zbl 0891.65112 Appl. Numer. Math. 24, No. 4, 439-455 (1997). Reviewer: B.D.Reddy (Rondebosch) MSC: 65N30 65F10 65F35 65N06 35J05 65-03 01A65 PDFBibTeX XMLCite \textit{E. F. F. Botta} et al., Appl. Numer. Math. 24, No. 4, 439--455 (1997; Zbl 0891.65112) Full Text: DOI
Duff, Iain S. Sparse numerical linear algebra: Direct methods and preconditioning. (English) Zbl 0881.65030 Duff, I. S. (ed.) et al., The state of the art in numerical analysis. Based on the proceedings of a conference organized by the Institute of Mathematics and its Applications (IMA), University of York, York, GB, April 1–4, 1996. Oxford: Clarendon Press. Inst. Math. Appl. Conf. Ser., New Ser. 63, 27-62 (1997). MSC: 65F50 65F05 65F20 65-02 65F35 65Y05 PDFBibTeX XMLCite \textit{I. S. Duff}, Inst. Math. Appl. Conf. Ser., New Ser. 63, 27--62 (1997; Zbl 0881.65030)
Cai, Xiao-Chuan; Saad, Yousef Overlapping domain decomposition algorithms for general sparse matrices. (English) Zbl 0851.65083 Numer. Linear Algebra Appl. 3, No. 3, 221-237 (1996). Reviewer: U.Langer (Linz) MSC: 65N55 35J25 65F10 65F35 65F50 PDFBibTeX XMLCite \textit{X.-C. Cai} and \textit{Y. Saad}, Numer. Linear Algebra Appl. 3, No. 3, 221--237 (1996; Zbl 0851.65083) Full Text: DOI
Saad, Y.; Wu, K. DQGMRES: a direct quasi-minimal residual algorithm based on incomplete orthogonalization. (English) Zbl 0906.65033 Numer. Linear Algebra Appl. 3, No. 4, 329-343 (1996). Reviewer: Miroslav Rozložník (Praha) MSC: 65F10 65F25 65F35 65F50 PDFBibTeX XMLCite \textit{Y. Saad} and \textit{K. Wu}, Numer. Linear Algebra Appl. 3, No. 4, 329--343 (1996; Zbl 0906.65033) Full Text: DOI
Beg, Ivan; Ling, Wu; Müller, Andreas; Przybyszewski, Piotr; Rühl, Roland; Sawyer, William PLUMP: Parallel library for unstructured mesh problems. (English) Zbl 0854.65112 Ferreira, Alfonso (ed.) et al., Parallel algorithms for irregular problems: state of the art. Papers from a workshop and summer school on parallel algorithms for irregularly structured problems, IRREGULAR ’94, Geneva, Switzerland, 1994. Dordrecht: Kluwer Academic Publishers. 47-71 (1995). MSC: 65N50 65Y05 65N30 PDFBibTeX XMLCite \textit{I. Beg} et al., in: Parallel algorithms for irregular problems: state of the art. Papers from a workshop and summer school on parallel algorithms for irregularly structured problems, IRREGULAR '94, Geneva, Switzerland, 1994. Dordrecht: Kluwer Academic Publishers. 47--71 (1995; Zbl 0854.65112)
Chien, C.-S.; Lu, N.-H.; Weng, Z.-L. Conjugate gradient methods for continuation problems. II. (English) Zbl 0857.65060 J. Comput. Appl. Math. 62, No. 2, 197-216 (1995). Reviewer: J.Vaníček (Praha) MSC: 65H17 65F15 65F10 65H20 PDFBibTeX XMLCite \textit{C. S. Chien} et al., J. Comput. Appl. Math. 62, No. 2, 197--216 (1995; Zbl 0857.65060) Full Text: DOI
Saad, Yousef; Wu, Kesheng Design of an iterative solution module for a parallel sparse matrix library (P_SPARSLIB). (English) Zbl 0854.65029 Appl. Numer. Math. 19, No. 3, 343-357 (1995). Reviewer: W.Schönauer (Karlsruhe) MSC: 65F10 65F35 65Y05 65Y15 PDFBibTeX XMLCite \textit{Y. Saad} and \textit{K. Wu}, Appl. Numer. Math. 19, No. 3, 343--357 (1995; Zbl 0854.65029) Full Text: DOI
Bai, Zhaojun Progress in the numerical solution of the nonsymmetric eigenvalue problem. (English) Zbl 0838.65033 Numer. Linear Algebra Appl. 2, No. 3, 219-234 (1995). Reviewer: F.Uhlig (Auburn) MSC: 65F15 65-02 PDFBibTeX XMLCite \textit{Z. Bai}, Numer. Linear Algebra Appl. 2, No. 3, 219--234 (1995; Zbl 0838.65033) Full Text: DOI
Saad, Youcef Highly parallel preconditioners for general sparse matrices. (English) Zbl 0803.65059 Golub, Gene (ed.) et al., Recent advances in iterative methods. Papers from the IMA workshop on iterative methods for sparse and structured problems, held in Minneapolis, MN, February 24-March 1, 1992. New York, NY: Springer-Verlag. IMA Vol. Math. Appl. 60, 165-199 (1994). MSC: 65F35 65F10 65F50 65Y05 PDFBibTeX XMLCite \textit{Y. Saad}, IMA Vol. Math. Appl. 60, 165--199 (1994; Zbl 0803.65059)
Das, R.; Mavriplis, D. J.; Saltz, J.; Gupta, S.; Ponnusamy, R. Design and implementation of a parallel unstructured Euler solver using software primitives. (English) Zbl 0800.76367 AIAA J. 32, No. 3, 489-496 (1994). MSC: 76M99 76N10 65Y05 PDFBibTeX XMLCite \textit{R. Das} et al., AIAA J. 32, No. 3, 489--496 (1994; Zbl 0800.76367) Full Text: DOI Link
Shadid, John N.; Tuminaro, Ray S. A comparison of preconditioned nonsymmetric Krylov methods on a large- scale MIMD machine. (English) Zbl 0798.65047 SIAM J. Sci. Comput. 15, No. 2, 440-459 (1994). Reviewer: F.Szidarovszky (Tucson) MSC: 65F10 65Y05 PDFBibTeX XMLCite \textit{J. N. Shadid} and \textit{R. S. Tuminaro}, SIAM J. Sci. Comput. 15, No. 2, 440--459 (1994; Zbl 0798.65047) Full Text: DOI
Pini, G. Transpose-free Lanczos-type schemes on transputer network. (English) Zbl 1049.68963 Parallel Algorithms Appl. 3, No. 3-4, 249-260 (1994). MSC: 68W30 PDFBibTeX XMLCite \textit{G. Pini}, Parallel Algorithms Appl. 3, No. 3--4, 249--260 (1994; Zbl 1049.68963) Full Text: DOI
Freund, Roland W.; Gutknecht, Martin H.; Nachtigal, Noël M. An implementation of the look-ahead Lanczos algorithm for non-Hermitian matrices. (English) Zbl 0770.65022 SIAM J. Sci. Comput. 14, No. 1, 137-158 (1993). Reviewer: P.Narain (Bombay) MSC: 65F15 PDFBibTeX XMLCite \textit{R. W. Freund} et al., SIAM J. Sci. Comput. 14, No. 1, 137--158 (1993; Zbl 0770.65022) Full Text: DOI Link
Dutto, Laura C. On the iterative methods for solving linear systems of equations. (English) Zbl 0924.65025 Rev. Eur. Élém. Finis 2, No. 4, 423-448 (1993). MSC: 65F10 65F35 PDFBibTeX XMLCite \textit{L. C. Dutto}, Rev. Eur. Élém. Finis 2, No. 4, 423--448 (1993; Zbl 0924.65025) Full Text: DOI
Heroux, Michael A.; Vu, Phuong; Yang, Chao A parallel preconditioned conjugate gradient package for solving sparse linear systems on a Cray Y-MP. (English) Zbl 0738.65025 Appl. Numer. Math. 8, No. 2, 93-115 (1991). Reviewer: V.Burjan (Praha) MSC: 65F10 65Y05 65F50 15-04 PDFBibTeX XMLCite \textit{M. A. Heroux} et al., Appl. Numer. Math. 8, No. 2, 93--115 (1991; Zbl 0738.65025) Full Text: DOI