A note on locating eigenvalues
type: Item
instance of: scholarly article
title: A note on locating eigenvalues
zbMATH Open document ID: 0591.65032
DOI: 10.1007/BF02252518
published in: Computing
publication date: 1986-01-01T00:00:00Z
review text: The numbers of the roots of det(B-\(\lambda\) A) in different portions of the real axis are determined, where A and B are Hermitian matrices and B is positive definite. The result is an extension of a theorem by \textit{X. Pan} and \textit{H. Dai} [ibid. 35, 93-96 (1985; Zbl 0554.65026)].
Mathematics Subject Classification ID: 65F15
Mathematics Subject Classification ID: 15A42
zbMATH DE Number: 3949597
zbMATH Keywords: eigenvalue
zbMATH Keywords: inertia
zbMATH Keywords: numbers of the roots
zbMATH Keywords: Hermitian matrices
author: Hannu Väliaho
MaRDI profile type: Publication
cites work: Manifestations of the Schur complement
cites work: Q5341769
cites work: Q5603271
full work available at URL: https://doi.org/10.1007/bf02252518
OpenAlex ID: W2215491150
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description: scientific article; zbMATH DE number 3949597