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.