Algebraically positive matrices

Steve Kirkland; Pu Qiao; Xingzhi Zhan

doi:10.1016/j.laa.2016.03.049

Algebraically positive matrices

Steve Kirkland
, Pu Qiao
, Xingzhi Zhan^*

^*Corresponding author for this work

School of Mathematical Sciences

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

9 Scopus citations

Abstract

We introduce the concept of algebraically positive matrices and investigate some basic properties, including a characterization, the index of algebraic positivity, and sign patterns that allow or require this property. We also pose two open problems.

Original language	English
Pages (from-to)	14-26
Number of pages	13
Journal	Linear Algebra and Its Applications
Volume	504
DOIs	https://doi.org/10.1016/j.laa.2016.03.049
State	Published - 1 Sep 2016

Keywords

Algebraically positive matrix
Irreducible matrix
Primitive matrix
Sign pattern

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10.1016/j.laa.2016.03.049

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title = "Algebraically positive matrices",

abstract = "We introduce the concept of algebraically positive matrices and investigate some basic properties, including a characterization, the index of algebraic positivity, and sign patterns that allow or require this property. We also pose two open problems.",

keywords = "Algebraically positive matrix, Irreducible matrix, Primitive matrix, Sign pattern",

author = "Steve Kirkland and Pu Qiao and Xingzhi Zhan",

year = "2016",

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doi = "10.1016/j.laa.2016.03.049",

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AU - Kirkland, Steve

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AU - Zhan, Xingzhi

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AB - We introduce the concept of algebraically positive matrices and investigate some basic properties, including a characterization, the index of algebraic positivity, and sign patterns that allow or require this property. We also pose two open problems.

KW - Algebraically positive matrix

KW - Irreducible matrix

KW - Primitive matrix

KW - Sign pattern

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DO - 10.1016/j.laa.2016.03.049

M3 - 文章

AN - SCOPUS:84962440781

SN - 0024-3795

VL - 504

SP - 14

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JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

ER -

Algebraically positive matrices

Abstract

Keywords

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