A Unified Extension of Some Results of Thompson, Marcus and Moyls.
A variance analog of majorization and some associated inequalities.
Additive compound matrices and an inequality for eigenvalues of symmetric stochastic matrices
An eigenvalue inequality and spectrum localization for complex matrices.
An extension of a result of Lewis.
AnS-type upper bound for the largest singular value of nonnegative rectangular tensors
An S-type upper bound for the largest singular value of a nonnegative rectangular tensor is given by breaking N = {1, 2, … n} into disjoint subsets S and its complement. It is shown that the new upper bound is smaller than that provided by Yang and Yang (2011). Numerical examples are given to verify the theoretical results.
Approximation of eigenvalues for unbounded Jacobi matrices using finite submatrices
We consider an infinite Jacobi matrix with off-diagonal entries dominated by the diagonal entries going to infinity. The corresponding self-adjoint operator J has discrete spectrum and our purpose is to present results on the approximation of eigenvalues of J by eigenvalues of its finite submatrices.