Approximate root-free factorization techniques for solving elliptic difference equations in three space variables

DOI10.1016/0024-3795(86)90227-2zbMath0609.65070OpenAlexW1976256539MaRDI QIDQ1086996

Elias A. Lipitakis

Publication date: 1986

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(86)90227-2

zbMATH Keywords

finite difference methodsselfadjointimplicit iterative schemeasymptotic number of iterationsdirect factorization algorithm

Mathematics Subject Classification ID

Factorization of matrices (15A23) Boundary value problems for second-order elliptic equations (35J25) Iterative numerical methods for linear systems (65F10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (4)

A three‐dimensional symmetric linear equation solver ⋮ Explicit approximate inverse preconditioning techniques ⋮ ON THE RATE OF CONVERGENCE AND COMPLEXITY OF NORMALIZED IMPLICIT PRECONDITIONING FOR SOLVING FINITE DIFFERENCE EQUATIONS IN THREE SPACE VARIABLES ⋮ Direct and approximate algorithmic methods for solving self-adjoint elliptic PDEs in three-space dimensions

Cites Work

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• A class of first order factorization methods
• An Approximate Factorization Procedure for Solving Self-Adjoint Elliptic Difference Equations
• Ordering of the iterative parameters in the cyclical Chebyshev iterative method
• A generalized SSOR method
• A Symmetric Factorization Procedure for the Solution of Elliptic Boundary Value Problems
• ROUNDING-OFF ERRORS IN MATRIX PROCESSES

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