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^*

^*Corresponding author for this work

School of Mathematical Sciences

East China Normal University

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

10 Scopus citations

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.

Original language	English
Pages (from-to)	1956-1967
Number of pages	12
Journal	Linear Algebra and Its Applications
Volume	434
Issue number	8
DOIs	https://doi.org/10.1016/j.laa.2010.11.047
State	Published - 15 Apr 2011

Keywords

ACI-matrix
Completion
Partial matrix
Rank

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10.1016/j.laa.2010.11.047

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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",

month = apr,

day = "15",

doi = "10.1016/j.laa.2010.11.047",

language = "英语",

volume = "434",

pages = "1956--1967",

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

AU - Huang, Zejun

AU - Zhan, Xingzhi

PY - 2011/4/15

Y1 - 2011/4/15

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

IS - 8

ER -

ACI-matrices all of whose completions have the same rank

Abstract

Keywords

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