Matrix-Free Preconditioning using Partial Matrix Estimation

0042084 - ÚI 2007 RIV SE eng J - Journal Article
Cullum, J. K. - Tůma, Miroslav
Matrix-Free Preconditioning using Partial Matrix Estimation.
[Předpodmiňování soustav s implicitní maticí s využitím její částečné rekonstrukce.]
Bit. Roč. 46, č. 4 (2006), s. 711-729. ISSN 0006-3835. E-ISSN 1572-9125
R&D Projects: GA AV ČR 1ET400300415; GA AV ČR IAA1030405
Institutional research plan: CEZ:AV0Z10300504
Keywords : matrix-free algorithms * linear algebraic equations * large sparse matrices * preconditioned iterative methods
Subject RIV: BA - General Mathematics
Impact factor: 0.841, year: 2006

Cited: 6

--- 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]
--- 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]
--- 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]
--- XU, W. - COLEMAN, T.F. EFFICIENT (PARTIAL) DETERMINATION OF DERIVATIVE MATRICES VIA AUTOMATIC DIFFERENTIATION. SIAM JOURNAL ON SCIENTIFIC COMPUTING. ISSN 1064-8275, 2013, vol. 35, no. 3, p. A1398-A1416. [WOS]
--- XIA, J.L. - LI, Z.L. - YE, X. Effective matrix-free preconditioning for the augmented immersed interface method. JOURNAL OF COMPUTATIONAL PHYSICS. ISSN 0021-9991, DEC 15 2015, vol. 303, p. 295-312. [WOS]

Permanent Link: http://hdl.handle.net/11104/0135396