Preconditioner Updates for Solving Sequences of Linear Systems in Matrix-Free Environment

Duintjer Tebbens, Jurjen - Tůma, Miroslav
Preconditioner Updates for Solving Sequences of Linear Systems in Matrix-Free Environment.
Numerical Linear Algebra with Applications. Roč. 17, č. 6 (2010), s. 997-1019. ISSN 1070-5325. E-ISSN 1099-1506
Source of funding: I
Impact factor: 1.163, year: 2010
http://hdl.handle.net/11104/0182494

Cited: 18

--- BELLAVIA, S. - BERTACCINI, D. - MORINI, B. NONSYMMETRIC PRECONDITIONER UPDATES IN NEWTON-KRYLOV METHODS FOR NONLINEAR SYSTEMS. SIAM JOURNAL ON SCIENTIFIC COMPUTING. ISSN 1064-8275, 2011, vol. 33, no. 5, p. 2595-2619. [WOS]
--- BELLAVIA, S. - DE SIMONE, V. - DI SERAFINO, D. - MORINI, B. EFFICIENT PRECONDITIONER UPDATES FOR SHIFTED LINEAR SYSTEMS. SIAM JOURNAL ON SCIENTIFIC COMPUTING. ISSN 1064-8275, 2011, vol. 33, no. 4, p. 1785-1809. [WOS]
--- DE SIMONE, V. - DI SERAFINO, D. A matrix-free approach to build band preconditioners for large-scale bound-constrained optimization. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. ISSN 0377-0427, OCT 1 2014, vol. 268, p. 82-92. [WOS]
--- BELLAVIA, S. - MORINI, B. - PORCELLI, M. New updates of incomplete LU factorizations and applications to large nonlinear systems. OPTIMIZATION METHODS & SOFTWARE. ISSN 1055-6788, MAR 4 2014, vol. 29, no. 2, SI, p. 321-340. [WOS]
--- GONZALEZ-PINTOR, S. - GINESTAR, D. - VERDU, G. Preconditioning the solution of the time- dependent neutron diffusion equation by recycling Krylov subspaces. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS. ISSN 0020-7160, JAN 2 2014, vol. 91, no. 1, SI, p. 42-52. [WOS]
--- XU, W. - COLEMAN, T.F. Solving nonlinear equations with the Newton-Krylov method based on automatic differentiation. OPTIMIZATION METHODS & SOFTWARE. ISSN 1055-6788, JAN 2 2014, vol. 29, no. 1, p. 88-101. [WOS]
--- XU, W. - LI, W. Efficient Preconditioners for Newton-GMRES Method With Application to Power Flow Study. IEEE TRANSACTIONS ON POWER SYSTEMS. ISSN 0885-8950, NOV 2013, vol. 28, no. 4, p. 4173-4180. [WOS]
--- CERDAN, J. - MARIN, J. - MAS, J. Low-rank updates of balanced incomplete factorization preconditioners. NUMERICAL ALGORITHMS. ISSN 1017-1398, FEB 2017, vol. 74, no. 2, p. 337-370. [WOS]
--- BAI, Y.Q. - HUANG, T.Z. - LUO, W.H. Accelerated preconditioner updates for solving shifted linear systems. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS. ISSN 0020-7160, 2017, vol. 94, no. 4, p. 747-756. [WOS]
--- XU, W. - ZHENG, N. - HAYAMI, K. Jacobian-Free Implicit Inner-Iteration Preconditioner for Nonlinear Least Squares Problems. JOURNAL OF SCIENTIFIC COMPUTING. ISSN 0885-7474, SEP 2016, vol. 68, no. 3, p. 1055-1081. [WOS]
--- BERENGUER, L. - TROMEUR-DERVOUT, D. Partially Updated Restricted Additive Schwarz Preconditioner. DOMAIN DECOMPOSITION METHODS IN SCIENCE AND ENGINEERING XXII. ISSN 1439-7358, 2016, vol. 104, p. 437-444. [WOS]
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--- BERENGUER, L. - TROMEUR-DERVOUT, D. Asynchronous partial update of the Restricted Additive Schwarz preconditioner to solve nonlinear CFD problems. COMPUTERS & FLUIDS. ISSN 0045-7930, MAR 30 2015, vol. 110, SI, p. 211-218. [WOS]
--- LUO, W.H. - HUANG, T.Z. - LI, L. - ZHANG, Y. - GU, X.M. Efficient preconditioner updates for unsymmetric shifted linear systems. COMPUTERS & MATHEMATICS WITH APPLICATIONS. ISSN 0898-1221, MAY 2014, vol. 67, no. 9, p. 1643-1655. [WOS]
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--- BERTACCINI, D. - DURASTANTE, F. Iterative Methods and Preconditioning for Large and Sparse Linear Systems with Applications. ITERATIVE METHODS AND PRECONDITIONING FOR LARGE AND SPARSE LINEAR SYSTEMS WITH APPLICATIONS. 2018, p. 1-353. [WOS]
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--- MERCIER, S. - GRATTON, S. - TARDIEU, N. - VASSEUR, X. A new preconditioner update strategy for the solution of sequences of linear systems in structural mechanics: application to saddle point problems in elasticity. COMPUTATIONAL MECHANICS. ISSN 0178-7675, DEC 2017, vol. 60, no. 6, p. 969-982. [WOS]