A RECURSIVE METHOD FOR FINDING THE INVERSE OF A CSP MATRIX

A necessary and sufficient condition for the nonsingularity of an n x n matrix R, when the submatrix A obtained by removing the first and th e last rows as well as the corresponding columns is known to be nonsin gular, is established and an expression for R(-1) in terms of A(-1) an d other known quantities of R is obtained. On these lines, a method of finding the inverse of a centrosymmetric, symmetric, and positive def inite (CSP) matrix from its submatrices using recursion is presented. An algorithm for the proposed computational technique is presented in terms of the instructions using a Minitab package.