A Polynomial Iterative Method Based on an Approximation to the Reciprocal Function
Ms. Katherine Porter
Department of Mathematical Sciences
University of Alabama in Huntsville
December 4, 1998
An iterative method for solving the nonsymmetric linear system Ax = b is presented. The method is based on a polynomial approximation to the reciprocal function which, when applied to A, approximates A−1. With iterative refinement, an algorithm has been developed. Graphical examples and a brief comparison to existing methods will be shown.
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