Index-range monotonicity and   index-proper splittings of matrices

Litismita Jena; Sabyasachi Pani

doi:10.3934/naco.2013.3.379

Article Contents

2013, Volume 3, Issue 2: 379-388. Doi: 10.3934/naco.2013.3.379

This issue Previous Article Mathematical properties of the regular *-representation of matrix $*$-algebras with applications to semidefinite programming Next Article

Index-range monotonicity and index-proper splittings of matrices

Litismita Jena^1, and
Sabyasachi Pani^1,

1.
School of Basic Sciences, Indian Institute of Technology Bhubaneswar, Bhubaneswar - 751 013, Odisha

Received: March 31, 2012

Revised: December 31, 2012

Published: March 2013

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Abstract

Index-range monotonicity is proposed, and some characterizations of this notion are obtained. Then different convergence and comparison theorems are presented using several new subclasses of index-proper splittings.

Keywords:

Mathematics Subject Classification: Primary: 15A09, 65F15, 65F20.

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