Open AccessJournal Article10.1016/J.CAM.2020.113121

Almost strictly sign regular rectangular matrices

- 03 Sep 2020

- Journal of Computational and Applied Mat...

- pp 113121

TL;DR: Several properties of almost strictly sign regular rectangular matrices of maximal rank are provided and their Q R factorization is analyzed.

About: This article is published in Journal of Computational and Applied Mathematics. The article was published on 03 Sep 2020. and is currently open access. The article focuses on the topics: Sign (mathematics) & Rank (linear algebra).

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In this paper the authors provide several properties of almost strictly sign regular rectangular matrices of maximal rank and analyze their QR factorization.

References

•Journal Article•10.1016/0024-3795(87)90313-2

Totally positive matrices

Tsuyoshi Ando

- 01 May 1987

- Linear Algebra and its Applications

TL;DR: A concise survey on totally positive matrices and related topics can be found in this paper, where the authors present a unified method for computing the total positivity of a matrices.

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Matrix Algorithms: Volume 1, Basic Decompositions

G. W. Stewart

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•Book Chapter•10.1007/978-94-015-8674-0_7

On Factorizations of Totally Positive Matrices

M. Gasca, +1 more

- 01 Jan 1996

TL;DR: In this paper, different approaches to the decomposition of a nonsingular totally positive matrix as a product of bidiagonal matrices are studied, and conditions of uniqueness for decomposition are also given.

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154

•Journal Article•10.1137/050631203

Characterizations and Decompositions of Almost Strictly Positive Matrices

M. Gasca, +1 more

- 01 May 2006

- SIAM Journal on Matrix Analysis and Appl...

TL;DR: This paper gives a characterization of nonsingular matrices in terms of the positivity of a very reduced number of their minors, improving previous characterizations that have appeared in the literature.

...read moreread less

•Journal Article•10.1016/J.CAM.2015.10.030

QR decomposition of almost strictly sign regular matrices

Pedro Alonso, +2 more

- 01 Jul 2017

- Journal of Computational and Applied Mat...

TL;DR: This paper analyzes L D U factorization of nonsingular sign regular and almost strictly sign regular matrices and characterized through the Q R factorization.

...read moreread less

Almost strictly sign regular rectangular matrices

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Most frequently asked questions

1. What have the authors contributed in "Almost strictly sign regular rectangularmatrices" ?

References

Totally positive matrices

Matrix Algorithms: Volume 1, Basic Decompositions

On Factorizations of Totally Positive Matrices

Characterizations and Decompositions of Almost Strictly Positive Matrices

QR decomposition of almost strictly sign regular matrices

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