ABSTRACT

The eigenvalues of matrix A-I, that is, Ainverse' are the reciprocals of the eigenvalues of matrix A. The eigenvectors of matrix A-I are the same as the eigenvectors of matrix A. The power method can be used to find the largest (in absolute value) eigenvalue of matrix A-I , Ainverse' The reciprocal of that eigenvalue is the smallest (in absolute value) eigenvalue of matrix A.