SOME INEQUALITIES CONNECTING THE SINGULAR VALUES OF A COMPLEX MATRIX WITH THE PERRON ROOTS OF RELATED NONNEGATIVE MATRICES

摘要

In the paper, some inequalities interrelating the singular values of a square matrix A with complex entries with the Perron roots of the associated nonnegative matrices P_A = |A|○|A| and (P_A+P_A~T)/2 are derived. The results obtained are applied to (0, 1)-matrices. Bibliography: 8 titles.