Elliptic matrices with zero diagonal
type: Item
instance of: scholarly article
title: Elliptic matrices with zero diagonal
zbMATH Open document ID: 0799.15013
DOI: 10.1016/0024-3795(94)90495-2
author: Miroslav Fiedler
published in: Linear Algebra and its Applications
publication date: 1994-11-17T00:00:00Z
review text: A real symmetric matrix is a special elliptic matrix if it has only one positive eigenvalue and all its diagonal entries are zero. The author investigates the relation between the set of all nonnegative special elliptic \(n \times n\) matrices and so-called Menger matrices which go back to \textit{K. Menger} [Math. Ann. 100, 75-163 (1928; JFM 54.0622.02)]. Also considered are the matrices \(A\) such that \(-A^{-1}\) is a special elliptic matrix.
Mathematics Subject Classification ID: 15B57
zbMATH DE Number: 553967
zbMATH Keywords: zero diagonal
zbMATH Keywords: elliptic matrix
zbMATH Keywords: Menger matrices
MaRDI profile type: Publication
full work available at URL: 0024-3795(94)90495-2
OpenAlex ID: W2029983045
cites work: Q4061081
cites work: Q5610277
cites work: Q3283375
cites work: Properties of Euclidean and non-Euclidean distance matrices
cites work: A generalization of N-matrices
description: scientific article; zbMATH DE number 553967