Matrix group monotonicity   using a dominance notion

Debasisha  Mishra

doi:10.3934/naco.2015.5.267

Article Contents

2015, Volume 5, Issue 3: 267-274. Doi: 10.3934/naco.2015.5.267

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Matrix group monotonicity using a dominance notion

Debasisha Mishra^1,

1.
Department of Mathematics, National Institute of Technology Raipur, Raipur- 492010

Received: March 2013

Revised: March 2015

Published: July 2015

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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.

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Mathematics Subject Classification: Primary: 15A09.

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