Block splittings for the conjugate gradient method

DOI10.1016/0045-7930(83)90015-4zbMath0526.76003OpenAlexW2006716496MaRDI QIDQ594678

Michael Steuerwalt, Seymour V. Parter, David Kratzer

Publication date: 1983

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7930(83)90015-4

zbMATH Keywords

cluster radiigeneralized conjugate gradient schemek-line and kxk block Jacobi splittingsnumber and size of eigenvalue clusterstwo-dimensional parabolic and elliptic difference equations

Mathematics Subject Classification ID

Basic methods in fluid mechanics (76M99) Incompressible inviscid fluids (76Bxx) Incompressible viscous fluids (76Dxx)

Related Items (6)

New conjugate gradient algorithms based on self-scaling memoryless Broyden-Fletcher-Goldfarb-Shanno method ⋮ A New Adaptive Conjugate Gradient Algorithm for Large-Scale Unconstrained Optimization ⋮ Analysis of the multiplicative Schwarz method for matrices with a special block structure ⋮ An adaptive conjugate gradient algorithm for large-scale unconstrained optimization ⋮ A Dai-Liao conjugate gradient algorithm with clustering of eigenvalues ⋮ Eigenvalues versus singular values study in conjugate gradient algorithms for large-scale unconstrained optimization

Cites Work

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• ``Multi-line iterative methods for elliptic difference equations and fundamental frequencies
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• Comparison of splittings used with the conjugate gradient algorithm
• A Method of Block Iteration
• An Incomplete Factorization Technique for Positive Definite Linear Systems
• OnK-Line and $K \times K$ Block Iterative Schemes for a Problem Arising in Three-Dimensional Elliptic Difference Equations
• Block Iterative Methods for Elliptic and Parabolic Difference Equations
• Methods of conjugate gradients for solving linear systems

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