An improved bi-conjugate residual algorithm suitable for distributed parallel computing

DOI10.1016/j.amc.2006.07.143zbMath1117.65047OpenAlexW2050455866MaRDI QIDQ884576

Li-Tao Zhang, Zhiqiang Sheng, Tong-Xiang Gu, Xian-Yu Zuo, Wan Qin Zhang

Publication date: 6 June 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.07.143

zbMATH Keywords

numerical examplesconjugate gradient methodparallel computingKrylov subspace methodlarge sparse linear systemsimproved bi-conjugate residual methodunsymmetrical coefficient matrices

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Iterative numerical methods for linear systems (65F10) Parallel numerical computation (65Y05)

Related Items (10)

BiCGCR2: A new extension of conjugate residual method for solving non-Hermitian linear systems ⋮ Minimizing synchronization in IDR (s ) ⋮ Minimizing synchronizations in sparse iterative solvers for distributed supercomputers ⋮ An improved GBPi-CG algorithm suitable for distributed parallel computing ⋮ A parallel version of GPBi-CG method suitable for distributed parallel computing ⋮ Conjugate residual squared method and its improvement for non-symmetric linear systems ⋮ An improved generalized conjugate residual squared algorithm suitable for distributed parallel computing ⋮ An improved parallel hybrid bi-conjugate gradient method suitable for distributed parallel computing ⋮ A parallel generalized global conjugate gradient squared algorithm for linear systems with multiple right-hand sides ⋮ An improved generalized conjugate residual squared (IGCRS2) algorithm suitable for distributed parallel computing

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• Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
• Numerical Linear Algebra for High-Performance Computers
• Multiple search direction conjugate gradient method I: methods and their propositions

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