In this note, the authors consider the problem of inverse-positivity of k-subdirect sum of matrices. The main results provide a solution to an open problem posed recently. © 2013 Elsevier Inc. All rights reserved.

K C Sivakumar

Department of Mathematics

INVERSE-POSITIVITY

M-matrices

SUB-DIRECT SUM

Inverse problems

Matrix algebra

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IIT Madras is a public technical and research university located in Chennai, Tamil Nadu. Founded in 1959, it is recognised as an Institute of National Importance.

IIT Madras has been ranked as the top engineering institute in India for four years in a row by the National Institutional Ranking Framework of the MHRD

It currently offers undergraduate, postgraduate and research degrees across 16 disciplines in Engineering, Sciences, Humanities and Management. About 596 faculty belonging to science and engineering departments and centres of the Institute are engaged in teaching, research and industrial consultancy.

IIT Madras

Linear Algebra and Its Applications

Applied Mathematics and Computation

Some results about inverse-positive matrices

The Electronic Journal of Linear Algebra

Subdirect sums of nonsingular M-matrices and of their inverses

Springer Series in Computational Mathematics Domain Decomposition Methods — Algorithms and Theory

Journal	Linear Algebra and Its Applications
ISSN	00243795
Open Access	Yes