An improvement on Ky Fan's theorem of matrix eigenvalues

摘要

Let A is an element of M-n. In terms of Perron roots and Perron vectors of two positive (or irreducible nonnegative) matrices that dominate principal submatrices A[1,...,k] and A[k + 1,..., n], respectively, we present an improvement on Ky Fan's theorem of matrix eigenvalues, (C) 1998 Elsevier Science Inc. All rights reserved. [References: 4]