On the matrix class Q0 and inverse monotonicity properties of bordered matrices

Choudhury, PN and Eagambaram, N and Sivakumar, KC and Sushmitha, P (2021) On the matrix class Q0 and inverse monotonicity properties of bordered matrices. In: Linear Algebra and Its Applications, 612 . pp. 206-222.

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Abstract

Let A be a square matrix satisfying either a monotonicity condition (like inverse nonnegativity) or a property expressed in terms of the existence of solution of the linear complementarity problem, defined using A (like the Q0-property). We address the question of when the bordered matrix M, whose leading (maximal) proper principal submatrix being the matrix A, inherits the said property of A. © 2020 Elsevier Inc.

Item Type:	Journal Article
Publication:	Linear Algebra and Its Applications
Publisher:	Elsevier
Additional Information:	The Copyright of this article belongs to Elsevier
Keywords:	Matrix algebra, Existence of Solutions; Linear complementarity problems; Monotonicity conditions; Monotonicity property; Non-negativity; Square matrices; Submatrix, Inverse problems
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	01 Jan 2021 06:15
Last Modified:	01 Jan 2021 06:15
URI:	http://eprints.iisc.ac.in/id/eprint/67452

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