Optimal Preconditioner for the Biconjugate Gradient Method

DOI10.1080/00411450802522870zbMath1160.65310OpenAlexW2071683474MaRDI QIDQ3612801

S. M. Ganina, V. P. Ginkin, K. G. Chernov

Publication date: 10 March 2009

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00411450802522870

zbMATH Keywords

convergenceconjugate gradient methodbiconjugate gradient methodnine-diagonal matricesperipheral incomplete factorization

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Finite difference methods for boundary value problems involving PDEs (65N06)

Uses Software

• Bi-CG

Cites Work

• On modified incomplete cholesky factorization methods for the solution of problems with mixed boundary conditions and problems with discontinuous material conefficients
• Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
• A class of first order factorization methods

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