We study the convergence of P-regular splitting iterative methods for non-Hermitian positive definite linear systems. Our main result is that P-regular splittings of the form A = M - N, where N = N*, are convergent. Natural examples of splittings satisfying the convergence conditions are constructed, and numerical experiments are performed to illustrate the convergence results obtained. Copyright © 2009, Kent State University.

P-regular splitting iterative methods for non-Hermitian positive definite linear systems

Benzi, Michele
2009

Abstract

We study the convergence of P-regular splitting iterative methods for non-Hermitian positive definite linear systems. Our main result is that P-regular splittings of the form A = M - N, where N = N*, are convergent. Natural examples of splittings satisfying the convergence conditions are constructed, and numerical experiments are performed to illustrate the convergence results obtained. Copyright © 2009, Kent State University.
2009
Convergence; Non-Hermitian positive definite matrices; P-regular splitting; Preconditioned GMRES; SOR methods; Analysis
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11384/75298
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