Alternating Direction Preconditioning for Nonsymmetric Systems of Linear Equations

DOI10.1137/0915026zbMath0807.65024OpenAlexW2071037826MaRDI QIDQ4294370

Gerhard Starke

Publication date: 28 February 1995

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0915026

zbMATH Keywords

numerical experimentspreconditioningparallel computingfinite differencealternating direction implicit methodtridiagonal systemsADI methodsChebyshev iterationsecond-order elliptic equationsnonsymmetric linear systems

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) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (9)

A hybrid preconditioner of banded matrix approximation and alternating direction implicit iteration for symmetric Sinc--Galerkin linear systems ⋮ Preconditioned techniques for solving large sparse linear systems arising from the discretization of the elliptic partial differential equations ⋮ Optimal alternating direction implicit preconditioners for conjugate gradient methods ⋮ Numerical methods for viscous and nonviscous wave equations ⋮ Bi-parameter incremental unknowns ADI iterative methods for elliptic problems ⋮ A new high accuracy locally one-dimensional scheme for the wave equation ⋮ ADI method -- domain decomposition ⋮ An analytical method as a preconditioning modeling for systems of linear equations ⋮ Block alternating group explicit preconditioning (blage) for a class of fourth order difference schemes

Uses Software

• CGS

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