Maximum inverse positive matrices

Linzhang Lu; Michael K. Ng

doi:10.1016/j.aml.2006.02.024

Maximum inverse positive matrices

Linzhang Lu
, Michael K. Ng^*

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Journal article › peer-review

2 Citations (Scopus)

Abstract

We consider a class of inverse positive matrices, which is called Maximum inverse positive (MIP) matrices. If A is an MIP matrix, then for any matrix B which has at least one entry larger than that of A, then B is no longer an inverse positive matrix. Some existence and nonexistence results for MIP matrices are presented.

Original language	English
Pages (from-to)	65-69
Number of pages	5
Journal	Applied Mathematics Letters
Volume	20
Issue number	1
DOIs	https://doi.org/10.1016/j.aml.2006.02.024
Publication status	Published - Jan 2007

User-Defined Keywords

Inverse positive matrix
Spectral radius
Z-matrix

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10.1016/j.aml.2006.02.024

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title = "Maximum inverse positive matrices",

abstract = "We consider a class of inverse positive matrices, which is called Maximum inverse positive (MIP) matrices. If A is an MIP matrix, then for any matrix B which has at least one entry larger than that of A, then B is no longer an inverse positive matrix. Some existence and nonexistence results for MIP matrices are presented.",

keywords = "Inverse positive matrix, Spectral radius, Z-matrix",

author = "Linzhang Lu and Ng, \{Michael K.\}",

note = "Funding Information: The first author{\textquoteright}s research is supported in part by NNSF of China Nos 10531080 and 50275127. The second author{\textquoteright}s research is supported in part by Hong Kong Research Grants Council Grant Nos 7046/03P, 7035/04P and 7035/05P, and HKBU FRGs. ",

year = "2007",

month = jan,

doi = "10.1016/j.aml.2006.02.024",

language = "English",

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pages = "65--69",

journal = "Applied Mathematics Letters",

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T1 - Maximum inverse positive matrices

AU - Lu, Linzhang

AU - Ng, Michael K.

N1 - Funding Information: The first author’s research is supported in part by NNSF of China Nos 10531080 and 50275127. The second author’s research is supported in part by Hong Kong Research Grants Council Grant Nos 7046/03P, 7035/04P and 7035/05P, and HKBU FRGs.

PY - 2007/1

Y1 - 2007/1

N2 - We consider a class of inverse positive matrices, which is called Maximum inverse positive (MIP) matrices. If A is an MIP matrix, then for any matrix B which has at least one entry larger than that of A, then B is no longer an inverse positive matrix. Some existence and nonexistence results for MIP matrices are presented.

AB - We consider a class of inverse positive matrices, which is called Maximum inverse positive (MIP) matrices. If A is an MIP matrix, then for any matrix B which has at least one entry larger than that of A, then B is no longer an inverse positive matrix. Some existence and nonexistence results for MIP matrices are presented.

KW - Inverse positive matrix

KW - Spectral radius

KW - Z-matrix

UR - https://www.scopus.com/pages/publications/33749994958

U2 - 10.1016/j.aml.2006.02.024

DO - 10.1016/j.aml.2006.02.024

M3 - Journal article

AN - SCOPUS:33749994958

SN - 0893-9659

VL - 20

SP - 65

EP - 69

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 1

ER -

Maximum inverse positive matrices

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