Ranks of dense alternating sign matrices and their sign patterns

Miroslav Fiedler; Wei Gao; Frank J. Hall; Guangming Jing; Zhongshan Li; Mikhail Stroev

doi:10.1016/j.laa.2014.12.034

Ranks of dense alternating sign matrices and their sign patterns

Miroslav Fiedler, Wei Gao, Frank J. Hall, Guangming Jing, Zhongshan Li, Mikhail Stroev

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

In this paper, an explicit formula for the ranks of dense alternating sign matrices is obtained. The minimum rank and the maximum rank of the sign pattern of a dense alternating sign matrix are determined. Some related results and examples are also provided.

Original language	English (US)
Pages (from-to)	109-121
Number of pages	13
Journal	Linear Algebra and Its Applications
Volume	471
DOIs	https://doi.org/10.1016/j.laa.2014.12.034
State	Published - Apr 15 2015
Externally published	Yes

Keywords

Alternating sign matrix
Dense matrix
Maximum rank
Minimum rank
Rank
Sign pattern matrix

ASJC Scopus subject areas

Algebra and Number Theory
Numerical Analysis
Geometry and Topology
Discrete Mathematics and Combinatorics

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10.1016/j.laa.2014.12.034

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title = "Ranks of dense alternating sign matrices and their sign patterns",

abstract = "In this paper, an explicit formula for the ranks of dense alternating sign matrices is obtained. The minimum rank and the maximum rank of the sign pattern of a dense alternating sign matrix are determined. Some related results and examples are also provided.",

keywords = "Alternating sign matrix, Dense matrix, Maximum rank, Minimum rank, Rank, Sign pattern matrix",

author = "Miroslav Fiedler and Wei Gao and Hall, {Frank J.} and Guangming Jing and Zhongshan Li and Mikhail Stroev",

year = "2015",

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doi = "10.1016/j.laa.2014.12.034",

language = "English (US)",

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journal = "Linear Algebra and Its Applications",

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T1 - Ranks of dense alternating sign matrices and their sign patterns

AU - Fiedler, Miroslav

AU - Gao, Wei

AU - Hall, Frank J.

AU - Jing, Guangming

AU - Li, Zhongshan

AU - Stroev, Mikhail

PY - 2015/4/15

Y1 - 2015/4/15

N2 - In this paper, an explicit formula for the ranks of dense alternating sign matrices is obtained. The minimum rank and the maximum rank of the sign pattern of a dense alternating sign matrix are determined. Some related results and examples are also provided.

AB - In this paper, an explicit formula for the ranks of dense alternating sign matrices is obtained. The minimum rank and the maximum rank of the sign pattern of a dense alternating sign matrix are determined. Some related results and examples are also provided.

KW - Alternating sign matrix

KW - Dense matrix

KW - Maximum rank

KW - Minimum rank

KW - Rank

KW - Sign pattern matrix

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U2 - 10.1016/j.laa.2014.12.034

DO - 10.1016/j.laa.2014.12.034

M3 - Article

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SN - 0024-3795

VL - 471

SP - 109

EP - 121

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

ER -

Ranks of dense alternating sign matrices and their sign patterns

Abstract

Keywords

ASJC Scopus subject areas

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