Numerical analysis on determinant some centrosymmetric matrices

摘要

Centrosymmetric matrix has special characteristics which can be formed as block matrices. Some different block matrices are lower Hessenberg and tridiagonal form. These forms can be exploited on computing determinant of centrosymmetric matrix by the roles of orthogonal matrix. It can be shown that the determinant of centrosymmetric matrix is computing on block of centrosymmetric matrix only which have a half size of centrosymmetric matrix. Some numerical examples are given.