On sparse and compact preconditioned conjugate gradient methods for partial differential equations

DOI10.1080/00207168108803228zbMath0454.65023OpenAlexW2157752572MaRDI QIDQ3902396

David J. Evans, Elias A. Lipitakis, Nikolaos M. Missirlis

Publication date: 1981

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207168108803228

zbMATH Keywords

conjugate gradient methodpositive definitenesssplittingfactorizationirreducibilitydiagonal dominancepreconditioning techniquesconditioning matrixconsistent ordering

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (2)

Solving elliptic boundary-value problems on parallel processors by approximate inverse matrix semi-direct methods based on the multiple explicit Jacobi iteration ⋮ A unified derivation for fast estimation algorithms by the conjugate direction method

Cites Work

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• An Approximate Factorization Procedure for Solving Self-Adjoint Elliptic Difference Equations
• Iterative Solution of Implicit Approximations of Multidimensional Partial Differential Equations
• The Extrapolated Modified Aitken Iteration Method for Solving Elliptic Difference Equations

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