On constructions of partially nonpositive matrices
type: Item
instance of: scholarly article
title: On constructions of partially nonpositive matrices
zbMATH Open document ID: 0663.15007
DOI: 10.1016/0024-3795(89)90588-0
author: Mingxian Pang
published in: Linear Algebra and its Applications
publication date: 1989-01-01T00:00:00Z
review text: A square matrix is called partially non-positive if each of its principal minors is non-positive. Various properties of partially non-positive matrices related to the problem if the matrix is or can be transformed into a negative matrix are derived, e.g., it is shown that if A is a partially non-positive matrix and all off-diagonal elements are non-zero, then there is a diagonal matrix S with \(+1\) or -1 in the diagonal such that SAS is negative.
Mathematics Subject Classification ID: 15B48
zbMATH DE Number: 4083826
zbMATH Keywords: partially non-positive
zbMATH Keywords: negative matrix
reviewed by: Tage Bai Andersen
MaRDI profile type: Publication
full work available at URL: 0024-3795(89)90588-0
OpenAlex ID: W2072279155
cites work: On the Alass of Complementary Cones and Lemke’s Algorithm
cites work: On partially non-positive matrices
cites work: Q3754120
cites work: Q5342712
cites work: Q3943082
description: scientific article; zbMATH DE number 4083826