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2007•Journal of Anhui UniversityRequires access

Convergence of the AOR iterative method for a new preconditional linear system

Huiqin Wang

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Abstract

In the AOR iterative method for the solution of the linear system,a new preconditioning iterative provide a convergence theorem of this method,it improves some recent result.If the matrices is a nonsingular M-matrix,the convergence for the AOR iterative method of precondition is better than it of the linear system,if a matrices is a irreducibly nonsingular M-matrix,the convergence is strictly accelerated.Then the numerical example is given,explain the precondition iterative method is better than(I+S).

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What this paper is about

In the AOR iterative method for the solution of the linear system,a new preconditioning iterative provide a convergence theorem of this method,it improves some recent result.If the matrices is a nonsingular M-matrix,the convergence for the AOR iterative method of precondition is better than it of the linear system,if a matrices is a irreducibly nonsingular M-matrix,the convergence is strictly accelerated.Then the numerical example is given,explain the precondition iterative method is better than(I+S).

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Available abstract

In the AOR iterative method for the solution of the linear system,a new preconditioning iterative provide a convergence theorem of this method,it improves some recent result.If the matrices is a nonsingular M-matrix,the convergence for the AOR iterative method of precondition is better than it of the linear system,if a matrices is a irreducibly nonsingular M-matrix,the convergence is strictly accelerated.Then the numerical example is given,explain the precondition iterative method is better than(I+S).

Key concepts: Precondition, Invertible matrix, Iterative method, Convergence (economics), Mathematics, Matrix (chemical analysis), Linear system, Applied mathematics

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