A Recursive Method for Finding the Inverse of a CSP Matrix

Abstract A necessary and sufficient condition for the nonsingularity of an n × n matrix R , when the submatrix A obtained by removing the first and the last rows as well as the corresponding columns is known to be nonsingular, is established and an expression for R −1 in terms of A −1 and other known quantities of R is obtained. On these lines, a method of finding the inverse of a centrosymmetric, symmetric, and positive definite (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.