Improving the convergence behaviour of BiCGSTAB by applying <i>D</i>-norm minimization

DOI10.14495/jsiaml.7.37OpenAlexW942149146MaRDI QIDQ3121386

Lijiong Su, Akira Imakura, Tetsuya Sakurai, Hiroto Tadano

Publication date: 18 March 2019

Published in: JSIAM Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14495/jsiaml.7.37

zbMATH Keywords

linear systemKrylov subspace method\(D\)-normbicgstab

Mathematics Subject Classification ID

Numerical analysis (65-XX) Operations research, mathematical programming (90-XX)

Uses Software

• SparseMatrix
• GpBiCg

Cites Work

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• Weighted FOM and GMRES for solving nonsymmetric linear systems
• BiCGstab(\(l\)) for linear equations involving unsymmetric matrices with complex spectrum
• An overview of approaches for the stable computation of hybrid BiCG methods
• A Weighted Block GMRES method for solving linear systems with multiple right-hand sides
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
• GPBi-CG: Generalized Product-type Methods Based on Bi-CG for Solving Nonsymmetric Linear Systems
• Iterative Krylov Methods for Large Linear Systems

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