Bounds of determinants of matrices satisfying the Hadamard and Brauer conditions.
type: Item
instance of: scholarly article
title: Bounds of determinants of matrices satisfying the Hadamard and Brauer conditions.
zbMATH Open document ID: 1045.15009
author: N. A. Atomanichenko
author: A. I. Perov
published in: Computational Mathematics and Mathematical Physics
publication date: 2003-06-26T00:00:00Z
review text: The authors consider the problem of determination quantitative (lower and upper) bounds on the modulus of the determinant of matrices in the case of the Hadamard or Brauer nonsingularity criteria. It is shown that the established bounds not only refine known bounds but are also sharp in a certain sense.
Mathematics Subject Classification ID: 15A45
Mathematics Subject Classification ID: 15A15
Mathematics Subject Classification ID: 15B57
Mathematics Subject Classification ID: 65F40
zbMATH DE Number: 1940323
zbMATH Keywords: determinant
zbMATH Keywords: bounds
zbMATH Keywords: Hadamard nonsingularity condition
zbMATH Keywords: Brauer nonsingularity condition
reviewed by: A. Tret'yakov
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1940323