Partial matrices all of whose completions have the same spectrum

Zejun Huang; Xingzhi Zhan

doi:10.1016/j.laa.2011.09.011

Partial matrices all of whose completions have the same spectrum

Zejun Huang
, Xingzhi Zhan^*

^*此作品的通讯作者

数学科学学院

Zhejiang Agriculture and Forestry University
Hong Kong Polytechnic University

科研成果: 期刊稿件 › 文章 › 同行评审

2 引用（Scopus）

摘要

We characterize the square partial matrices over a field all of whose completions have the same spectrum, and determine the maximum number of indeterminates in such partial matrices of a given order as well as the matrices that attain this maximum number.

源语言	英语
页（从-至）	3061-3064
页数	4
期刊	Linear Algebra and Its Applications
卷	436
期	9
DOI	https://doi.org/10.1016/j.laa.2011.09.011
出版状态	已出版 - 1 5月 2012

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title = "Partial matrices all of whose completions have the same spectrum",

abstract = "We characterize the square partial matrices over a field all of whose completions have the same spectrum, and determine the maximum number of indeterminates in such partial matrices of a given order as well as the matrices that attain this maximum number.",

keywords = "Characteristic polynomial, Completion, Partial matrix, Spectrum",

author = "Zejun Huang and Xingzhi Zhan",

year = "2012",

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doi = "10.1016/j.laa.2011.09.011",

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T1 - Partial matrices all of whose completions have the same spectrum

AU - Huang, Zejun

AU - Zhan, Xingzhi

PY - 2012/5/1

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N2 - We characterize the square partial matrices over a field all of whose completions have the same spectrum, and determine the maximum number of indeterminates in such partial matrices of a given order as well as the matrices that attain this maximum number.

AB - We characterize the square partial matrices over a field all of whose completions have the same spectrum, and determine the maximum number of indeterminates in such partial matrices of a given order as well as the matrices that attain this maximum number.

KW - Characteristic polynomial

KW - Completion

KW - Partial matrix

KW - Spectrum

UR - https://www.scopus.com/pages/publications/84857997689

U2 - 10.1016/j.laa.2011.09.011

DO - 10.1016/j.laa.2011.09.011

M3 - 文章

AN - SCOPUS:84857997689

SN - 0024-3795

VL - 436

SP - 3061

EP - 3064

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

IS - 9

ER -

Partial matrices all of whose completions have the same spectrum

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