New Approach for the Inversion of Structured Matrices via Newton’s Iteration

Abstract

Newton’s iteration is a fundamental tool for numerical solutions of systems of equations. The well-known iteration ( ) 1 2 , 0 i i i X X I MX i + = − ≥ rapidly refines a crude initial approximation 0 X to the inverse of a general nonsingular matrix. In this paper, we will extend and apply this method to n n × structured matrices M , in which matrix… (More)

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