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Inequalities for spreads of matrix sums and products.
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
Mathematical Modelling
TLDR
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.
ON THE STAR PARTIAL ORDERING OF NORMAL MATRICES
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.
THE STABILIZING PROPERTIES OF NONNEGATIVITY CONSTRAINTS IN LEAST-SQUARES IMAGE RECONSTRUCTION
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
A simple proof for the inequality between the perron root of a nonnegative matrix and that of its geometric symmetrization
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
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