A Two-Level Parallel Preconditioner Based on Sparse Approximate Inverses

Benzi, M. - Marín, J. - Tůma, Miroslav
A Two-Level Parallel Preconditioner Based on Sparse Approximate Inverses.
Iterative Methods in Scientific Computation IV. New Jersey: IMACS, 1999 - (Kincaid, D.; Elster, A.), s. 167-178. IMACS Series in Computational and Applied Mathematics, 5. ISSN 1098-870X.
[IMACS International Symposium on Iterative Methods in Scientific Computation. Austin (US), 18.10.1999-20.10.1999]
http://hdl.handle.net/11104/0123952

Citováno: 16

--- Challacombe M. A Simplified Density Matrix Minimization for Linear Scaling SCF Theory. in : Journal of Chemical Physics., vol. 110, (1999), pp. 2332-2342
--- Vorst H.A. van der. Iterative Krylov Methods for Large linear Systems. : Cambridge University Press, (2003)
--- SALKUYEH, D.K. - TOUTOUNIAN, F. A sparse-sparse iteration for computing a sparse incomplete factorization of the inverse of an SPD matrix. APPLIED NUMERICAL MATHEMATICS. ISSN 0168-9274, JUN 2009, vol. 59, no. 6, p. 1265-1273. [WOS]
--- BERGAMASCHI, L. - BRU, R. - MARTINEZ, A. - PUTTI, M. Quasi-Newton preconditioners for the inexact Newton method. ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS. ISSN 1068-9613, 2006, vol. 23, p. 76-87. [WOS]
--- BERGAMASCHI, L. - PINI, G. - SARTORETTO, F. Parallel eigenanalysis of multiaquifer systems. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING. ISSN 0029-5981, AUG 21 2005, vol. 63, no. 15, p. 2069-2085. [WOS]
--- BERGAMASCHI, L. - MARTINEZ, A. Parallel acceleration of Krylov solvers by factorized approximate inverse preconditioners. HIGH PERFORMANCE COMPUTING FOR COMPUTATIONAL SCIENCE - VECPAR 2004. ISSN 0302-9743, 2005, vol. 3402, p. 623-636. [WOS]
--- SALKUYEH, D.K. - TOUTOUNIAN, F. A block version algorithm to approximate inverse factors. APPLIED MATHEMATICS AND COMPUTATION. ISSN 0096-3003, MAR 25 2005, vol. 162, no. 3, p. 1499-1509. [WOS]
--- MAZZIA, A. - PINI, G. Numerical performance of preconditioning techniques for the solution of complex sparse linear systems. COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING. ISSN 1069-8299, JAN 2003, vol. 19, no. 1, p. 37-48. [WOS]
--- TUFO, H.M. - FISCHER, P.F. Fast parallel direct solvers for coarse grid problems. JOURNAL OF PARALLEL AND DISTRIBUTED COMPUTING. ISSN 0743-7315, FEB 2001, vol. 61, no. 2, p. 151-177. [WOS]
--- SAAD, Y. - VAN DER VORST, H.A. Iterative solution of linear systems in the 20th century. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. ISSN 0377-0427, NOV 1 2000, vol. 123, no. 1-2, Sp. Iss. SI, p. 1-33. [WOS]
--- DUFF, I.S. - VAN DER VORST, H.A. Developments and trends in the parallel solution of linear systems. PARALLEL COMPUTING. ISSN 0167-8191, DEC 1999, vol. 25, no. 13-14, p. 1931-1970. [WOS]
--- CHALLACOMBE, M. A general parallel sparse-blocked matrix multiply for linear scaling SCF theory. COMPUTER PHYSICS COMMUNICATIONS. ISSN 0010-4655, JUN 2000, vol. 128, no. 1-2, p. 93-107. [WOS]
--- LAZAROV, B.S. - SIGMUND, O. Factorized parallel preconditioner for the saddle point problem. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING. ISSN 2040-7939, SEP 2011, vol. 27, no. 9, p. 1398-1410. [WOS]
--- YIN, J.F. A class of preconditioners based on matrix splitting for nonsymmetric linear systems. APPLIED MATHEMATICS AND COMPUTATION. ISSN 0096-3003, MAY 15 2010, vol. 216, no. 6, p. 1694-1706. [WOS]
--- BERGAMASCHI, L. - MARTINEZ, A. Banded target matrices and recursive FSAI for parallel preconditioning. NUMERICAL ALGORITHMS. ISSN 1017-1398, OCT 2012, vol. 61, no. 2, SI, p. 223-241. [WOS]
--- BU, Y.M. - CARPENTIERI, B. - SHEN, Z.L. - HUANG, T.Z. A hybrid recursive multilevel incomplete factorization preconditioner for solving general linear systems. APPLIED NUMERICAL MATHEMATICS. ISSN 0168-9274, JUN 2016, vol. 104, SI, p. 141-157. [WOS]