GPBiCG(\(m,\ell\)): A hybrid of biCGSTAB and GPBiCG methods with efficiency and robustness

DOI10.1016/S0168-9274(01)00113-1zbMath0993.65042MaRDI QIDQ1349137

Seiji Fujino

Publication date: 21 May 2002

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

zbMATH Keywords

convergencenumerical experimentslarge sparse linear systemiterative methodBiCGSTABconjugate gradient type methodsGPBiCGproduct-type methods

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Iterative numerical methods for linear systems (65F10)

Related Items (6)

Minimizing synchronizations in sparse iterative solvers for distributed supercomputers ⋮ Generalized product-type methods based on bi-conjugate gradient (GPBiCG) for solving shifted linear systems ⋮ ML(\(n\))BiCGStabt: a ML(\(n\))BiCGStab variant with \(\mathbf A\)-transpose ⋮ A hybridized iterative algorithm of the BiCORSTAB and GPBiCOR methods for solving non-Hermitian linear systems ⋮ A superposition-based parallel discrete operator splitting method for incompressible flows ⋮ Revisiting performance of biCGStab methods for solving systems with multiple right-hand sides

Uses Software

• GpBiCg
• CGS

Cites Work

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• Eigenvalues and pseudo-eigenvalues of Toeplitz matrices
• BiCGstab(\(l\)) for linear equations involving unsymmetric matrices with complex spectrum
• Iterative solution of linear systems in the 20th century
• CGS, A Fast Lanczos-Type Solver for Nonsymmetric Linear systems
• Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
• Lanczos Methods for the Solution of Nonsymmetric Systems of Linear Equations
• Variants of BICGSTAB for Matrices with Complex Spectrum
• GPBi-CG: Generalized Product-type Methods Based on Bi-CG for Solving Nonsymmetric Linear Systems

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