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^*

^*Corresponding author for this work

School of Mathematical Sciences

Zhejiang Agriculture and Forestry University
Hong Kong Polytechnic University

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

2 Scopus citations

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.

Original language	English
Pages (from-to)	3061-3064
Number of pages	4
Journal	Linear Algebra and Its Applications
Volume	436
Issue number	9
DOIs	https://doi.org/10.1016/j.laa.2011.09.011
State	Published - 1 May 2012

Keywords

Characteristic polynomial
Completion
Partial matrix
Spectrum

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10.1016/j.laa.2011.09.011

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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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volume = "436",

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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

Y1 - 2012/5/1

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

Abstract

Keywords

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