Necessary and sufficient conditions for the regularity of an interval matrix

M. Yousef; M. B.M. Elgindi; M. A. El-Gebeily

doi:10.1080/00207169908804890

Necessary and sufficient conditions for the regularity of an interval matrix

M. Yousef^*
, M. B.M. Elgindi
, M. A. El-Gebeily

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

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

Abstract

Verifiable necessary and sufficient conditions for regularity of an interval matrix are given. Based on these conditions an algorithm for checking the regularity of interval matrices is developed. It is shown that this algorithm can be modified to determine the stability of a class of interval matrices.

Original language	English
Pages (from-to)	217-223
Number of pages	7
Journal	International Journal of Computer Mathematics
Volume	73
Issue number	2
DOIs	https://doi.org/10.1080/00207169908804890
State	Published - 1999

Keywords

Interval mathematics
Interval matrices
Regularity of interval matrices
Stability of interval matrices

ASJC Scopus subject areas

Computer Science Applications
Computational Theory and Mathematics
Applied Mathematics

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10.1080/00207169908804890

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title = "Necessary and sufficient conditions for the regularity of an interval matrix",

abstract = "Verifiable necessary and sufficient conditions for regularity of an interval matrix are given. Based on these conditions an algorithm for checking the regularity of interval matrices is developed. It is shown that this algorithm can be modified to determine the stability of a class of interval matrices.",

keywords = "Interval mathematics, Interval matrices, Regularity of interval matrices, Stability of interval matrices",

author = "M. Yousef and Elgindi, \{M. B.M.\} and El-Gebeily, \{M. A.\}",

year = "1999",

doi = "10.1080/00207169908804890",

language = "English",

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journal = "International Journal of Computer Mathematics",

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T1 - Necessary and sufficient conditions for the regularity of an interval matrix

AU - Yousef, M.

AU - Elgindi, M. B.M.

AU - El-Gebeily, M. A.

PY - 1999

Y1 - 1999

N2 - Verifiable necessary and sufficient conditions for regularity of an interval matrix are given. Based on these conditions an algorithm for checking the regularity of interval matrices is developed. It is shown that this algorithm can be modified to determine the stability of a class of interval matrices.

AB - Verifiable necessary and sufficient conditions for regularity of an interval matrix are given. Based on these conditions an algorithm for checking the regularity of interval matrices is developed. It is shown that this algorithm can be modified to determine the stability of a class of interval matrices.

KW - Interval mathematics

KW - Interval matrices

KW - Regularity of interval matrices

KW - Stability of interval matrices

UR - https://www.scopus.com/pages/publications/0033282034

U2 - 10.1080/00207169908804890

DO - 10.1080/00207169908804890

M3 - Article

AN - SCOPUS:0033282034

SN - 0020-7160

VL - 73

SP - 217

EP - 223

JO - International Journal of Computer Mathematics

JF - International Journal of Computer Mathematics

IS - 2

ER -

Necessary and sufficient conditions for the regularity of an interval matrix

Abstract

Keywords

ASJC Scopus subject areas

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