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2006•Basic Sciences Journal of Textile UniversitiesRequires access

A sufficient and necessary of the convergence of the SAOR iterative method for consistently ordered matrices

Da‐Wei Chang

Open publisher page 1 citations

Abstract

The SAOR iterative method for solving linear systems of the form Ax=b is discussed where A is a large sparse nonsingular matrix.A sufficient and necessary of the convergence of the SAOR iterative method is given in the case that the cofficient matrix A is consistently ordered matrix and all eigenvalues of its Jacobi matrix are real numbers.

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What this paper is about

The SAOR iterative method for solving linear systems of the form Ax=b is discussed where A is a large sparse nonsingular matrix.A sufficient and necessary of the convergence of the SAOR iterative method is given in the case that the cofficient matrix A is consistently ordered matrix and all eigenvalues of its Jacobi matrix are real numbers.

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Available abstract

The SAOR iterative method for solving linear systems of the form Ax=b is discussed where A is a large sparse nonsingular matrix.A sufficient and necessary of the convergence of the SAOR iterative method is given in the case that the cofficient matrix A is consistently ordered matrix and all eigenvalues of its Jacobi matrix are real numbers.

Key concepts: Invertible matrix, Convergence (economics), Iterative method, Matrix (chemical analysis), Mathematics, Eigenvalues and eigenvectors, Applied mathematics, Matrix splitting

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