Inverses and eigenvalues of diamondalternating sign matrices-Reference-Cited by-同舟云学术

Inverses and eigenvalues of diamondalternating sign matrices

Published:2014-01-01 Issue:1 Volume:2 Page:
ISSN:2300-7451
Container-title:Special Matrices
language:en
Short-container-title:

Author:

Catral Minerva¹,Lin Minghua²,Olesky D. D.³,van den Driessche P.²

Affiliation:

1. Department of Mathematics and Computer Science, Xavier University, Cincinnati,OH 45207, USA

2. Department of Mathematics and Statistics, University of Victoria, PO Box 1700, STN CSC, Victoria, BC, V8W 2Y2,Canada

3. Department of Computer Science, University of Victoria, PO Box 1700, STN CSC, Victoria, BC, V8W 2Y2, Canada

Abstract

Abstract An n × n diamond alternating sign matrix (ASM) is a (0, +1, −1)-matrix with ±1 entries alternatingand arranged in a diamond-shaped pattern. The explicit inverse (for n even) or generalized inverse (for nodd) of a diamond ASM is derived. The eigenvalues of diamond ASMs are considered and when n is even, thecharacteristic polynomial, which involves signed binomial coefficients, is determined.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology,Algebra and Number Theory

Link

https://www.degruyter.com/document/doi/10.2478/spma-2014-0008/pdf

Reference6 articles.

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