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Matrix group monotonicity using a dominance notion

Authors :
Debasisha Mishra
Source :
Numerical Algebra, Control & Optimization. 5:267-274
Publication Year :
2015
Publisher :
American Institute of Mathematical Sciences (AIMS), 2015.

Abstract

A dominance rule for group invertible matrices using proper splitting is proposed, and used this notion to show that a matrix is group monotone. Then some possible applications are discussed.

Subjects

Subjects :
Control and Optimization
Algebra and Number Theory
Group (mathematics)
Applied Mathematics
Drazin inverse
Monotonic function
law.invention
Combinatorics
Matrix (mathematics)
Dominance (ethology)
Invertible matrix
Monotone polygon
Matrix group
law
Mathematics

Details

ISSN :
21553297
Volume :
5
Database :
OpenAIRE
Journal :
Numerical Algebra, Control & Optimization
Accession number :
edsair.doi...........c23c976cbe064829d91fecbafb521fc6
Full Text :
https://doi.org/10.3934/naco.2015.5.267
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