An optimum iterative method for solving any linear system with a square matrix

Document Type

Article

Publication Date

3-1-1988

Publisher

Springer

Abstract

A method is presented to solve Ax=b by computing optimum iteration parameters for Richardson's method. It requires some information on the location of the eigenvalues of A. The algorithm yields parameters well-suited for matrices for which Chebyshev parameters are not appropriate. It therefore supplements the Manteuffel algorithm, developed for the Chebyshev case. Numerical examples are described.

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