Extremal numbers of positive entries of imprimitive nonnegative matrices

Xingzhi Zhan

doi:10.1016/j.laa.2006.06.024

Extremal numbers of positive entries of imprimitive nonnegative matrices

Xingzhi Zhan^*

^*此作品的通讯作者

数学科学学院

科研成果: 期刊稿件 › 文章 › 同行评审

5 引用（Scopus）

摘要

We determine the maximum and minimum numbers of positive entries of imprimitive nonnegative matrices with a given imprimitivity index. One application of the results is to estimate the imprimitivity index by the number of positive entries. The proofs involve the study of a cyclic quadratic form. This completes a research initiated by Lewin in 1990.

源语言	英语
页（从-至）	132-138
页数	7
期刊	Linear Algebra and Its Applications
卷	424
期	1 SPEC. ISS.
DOI	https://doi.org/10.1016/j.laa.2006.06.024
出版状态	已出版 - 1 7月 2007

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AU - Zhan, Xingzhi

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N2 - We determine the maximum and minimum numbers of positive entries of imprimitive nonnegative matrices with a given imprimitivity index. One application of the results is to estimate the imprimitivity index by the number of positive entries. The proofs involve the study of a cyclic quadratic form. This completes a research initiated by Lewin in 1990.

AB - We determine the maximum and minimum numbers of positive entries of imprimitive nonnegative matrices with a given imprimitivity index. One application of the results is to estimate the imprimitivity index by the number of positive entries. The proofs involve the study of a cyclic quadratic form. This completes a research initiated by Lewin in 1990.

KW - Imprimitive matrix

KW - Nonnegative matrix

KW - Quadratic form

UR - https://www.scopus.com/pages/publications/34247871416

U2 - 10.1016/j.laa.2006.06.024

DO - 10.1016/j.laa.2006.06.024

M3 - 文章

AN - SCOPUS:34247871416

SN - 0024-3795

VL - 424

SP - 132

EP - 138

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

IS - 1 SPEC. ISS.

ER -

Extremal numbers of positive entries of imprimitive nonnegative matrices

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