An improvement on Ky Fanʹs theorem of matrix eigenvalues Original Research Article

Let A ε Mn. 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 Fanʹs theorem of matrix eigenvalues.