ACI-matrices all of whose completions have the same rank

Zejun Huang; Xingzhi Zhan

doi:10.1016/j.laa.2010.11.047

ACI-matrices all of whose completions have the same rank

Zejun Huang
, Xingzhi Zhan^*

^*此作品的通讯作者

数学科学学院

East China Normal University

科研成果: 期刊稿件 › 文章 › 同行评审

10 引用（Scopus）

摘要

We characterize the ACI-matrices all of whose completions have the same rank, determine the largest number of indeterminates in such partial matrices of a given size, and determine the partial matrices that attain this largest number.

源语言	英语
页（从-至）	1956-1967
页数	12
期刊	Linear Algebra and Its Applications
卷	434
期	8
DOI	https://doi.org/10.1016/j.laa.2010.11.047
出版状态	已出版 - 15 4月 2011

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title = "ACI-matrices all of whose completions have the same rank",

abstract = "We characterize the ACI-matrices all of whose completions have the same rank, determine the largest number of indeterminates in such partial matrices of a given size, and determine the partial matrices that attain this largest number.",

keywords = "ACI-matrix, Completion, Partial matrix, Rank",

author = "Zejun Huang and Xingzhi Zhan",

year = "2011",

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TY - JOUR

T1 - ACI-matrices all of whose completions have the same rank

AU - Huang, Zejun

AU - Zhan, Xingzhi

PY - 2011/4/15

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N2 - We characterize the ACI-matrices all of whose completions have the same rank, determine the largest number of indeterminates in such partial matrices of a given size, and determine the partial matrices that attain this largest number.

AB - We characterize the ACI-matrices all of whose completions have the same rank, determine the largest number of indeterminates in such partial matrices of a given size, and determine the partial matrices that attain this largest number.

KW - ACI-matrix

KW - Completion

KW - Partial matrix

KW - Rank

UR - https://www.scopus.com/pages/publications/79951674949

U2 - 10.1016/j.laa.2010.11.047

DO - 10.1016/j.laa.2010.11.047

M3 - 文章

AN - SCOPUS:79951674949

SN - 0024-3795

VL - 434

SP - 1956

EP - 1967

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

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ER -

ACI-matrices all of whose completions have the same rank

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