Sturm theorem for the generalized frank matrix
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Date
2021
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Hacettepe University
Access Rights
info:eu-repo/semantics/openAccess
Abstract
One of the popular test matrices for eigenvalue routines is the Frank matrix due to its wellconditioned and poorly conditioned eigenvalues. All the eigenvalues of the Frank matrix are real, positive and different. Sturm Theorem is a very useful tool for computing the eigenvalues of tridiagonal symmetric matrices. In this paper, we apply Sturm Theorem to the generalized Frank matrix which is a special form of the Hessenberg matrix and examine its eigenvalues by using Sturm property. Moreover, we illustrate our results with an example.
Description
Keywords
Characteristic Polynomial, Eigenvalue, Frank Matrix, Sturm Sequence
Journal or Series
Hacettepe Journal of Mathematics and Statistics
WoS Q Value
Q3
Scopus Q Value
Q2
Volume
50
Issue
4
