Regular, pseudo-regular, and almost regular matrices

Details Regular, pseudo-regular, and almost regular matrices Regular, pseudo-regular, and almost regular matrices

2007-03-07

arxiv.org/abs/math/0703207v1

Mathematics

Functional Analysis

Scientific paper

We give lower bounds on the largest singular value of arbitrary matrices, some of which are asymptotically tight for almost all matrices. To study when these bounds are exact, we introduce several combinatorial concepts. In particular, we introduce regular, pseudo-regular, and almost regular matrices. Nonnegative, symmetric, almost regular matrices were studied earlier by Hoffman, Wolfe, and Hoffmeister.

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