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Many results are stated and proved in a more general framework of symmetric and skewsymmetric matrices with respect to an invertible matrix which is skewsymmetric relative to

The first group is about spectral properties of a matrix under such perturbations; the second is about almost-near relations with respect to the rank distance..

UPS, INSA, INP, ISAE; LAAS; F-31077 Toulouse, France ([email protected]); and Faculty of Electrical Engineering, Czech Technical University in Prague, Technick´ a 4, CZ-16626

Research of this author was done in part while he was a graduate student at the College of William and Mary with support from USA NSF.. He also received support from the Office

Research was supported in part by the Faculty Research Assignment and Plumeri Award at the College of William and Mary. Electronic Journal of Linear Algebra ISSN 1081-3810

In earlier work, the labelled graphs G for which every combinatorially symmetric totally nonnegative matrix, the graph of whose specified entries is G , has a totally

We verify in some cases convergence of scaling limits of these models to a pair of super-Brownian motions interacting through their collision local times, constructed by Evans

Using a bijection due to Bouttier, Di Francesco & Guitter between rooted planar maps and certain four-type trees with positive labels, we derive our results from a conditional