Development of the Block BiCGSTAB($\ell$) method for solving linear systems with multiple right hand sides

DOI10.14495/jsiaml.6.65OpenAlexW2060364852MaRDI QIDQ3121363

Shusaku Saito, Akira Imakura, 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.6.65

zbMATH Keywords

block Krylov subspace methodslinear systems with multiple right hand sidesBiCGSTAB(\(\ell\))

Mathematics Subject Classification ID

Numerical analysis (65-XX) Systems theory; control (93-XX)

Related Items (1)

Global GPBiCGstab\((L)\) method for solving linear matrix equations

Uses Software

• BiCGstab
• SparseMatrix
• IDRStab

Cites Work

• The block conjugate gradient algorithm and related methods
• BiCGstab(\(l\)) for linear equations involving unsymmetric matrices with complex spectrum
• A block version of BiCGSTAB for linear systems with multiple right-hand sides
• Maintaining convergence properties of BiCGStab methods in finite precision arithmetic
• A variant of IDRstab with reliable update strategies for solving sparse linear systems
• Retooling the method of block conjugate gradients

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