Let A and B be complex matrices of same dimension. Given their eigen- values and singular values, we survey and further develop simple inequalities for eigenvalues and singular values of A + B, AB ,a… Expand

The reader will find a broad selection of theoretical tools for practicing industrial mathematics, including the analysis of continuum models, probabilistic and discrete phenomena, and asymptotic and sensitivity analysis.Expand

We order the space of complex n× n matrices by the star partial ordering ≤∗. So A ≤∗ B means that A∗A = A∗B andAA∗ = BA∗. We find several characterizations for A ≤∗ B in the case of normal matrices.… Expand

The incorporation of nonnegativity constraints in image reconstruction problems is known to have a stabilizing effect on solution methods. In this paper, we both demonstrate and provide an… Expand

AbstractLet A = (aij) be a nonnegative square matrix, let G = (gij) be its geometric symmetrization, i.e., gij = $$
\sqrt {a_{ij} a_{ji} }
$$, and let ρ denote the Perron root. We present a simple… Expand