<script type="text/javascript">
<!--
document.write('<div id="oa_widget"></div>');
document.write('<script type="text/javascript" src="https://www.openaire.eu/index.php?option=com_openaire&view=widget&format=raw&projectId=undefined&type=result"></script>');
-->
</script>

COPY SCRIPT

For further information contact us at helpdesk@openaire.eu

Regular, pseudo-regular, and almost regular matrices

Name: Regular, pseudo-regular, and almost regular matrices
Creator: Nikiforov, Vladimir
Keywords: Mathematics - Functional Analysis, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), 0101 mathematics, 15A42, 01 natural sciences, Functional Analysis (math.FA)

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2007Embargo end date: 01 Jan 2007Publisher:arXiv

Authors: Nikiforov, Vladimir;

doi: 10.48550/arxiv.math/0703207

arXiv: http://arxiv.org/abs/math/0703207

Regular, pseudo-regular, and almost regular matrices

- Summary
- Subjects
- Metrics

Abstract

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.

Keywords

Mathematics - Functional Analysis, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), 15A42, Functional Analysis (math.FA)

Impact byBIP!

	citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	0
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average

Found an issue? Give us feedback

Average

Green

Fields of Science

Fields of Science