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Main Title: A note on the symmetric recursive inverse eigenvalue problem
Author(s): Loewy, Raphael
Mehrmann, Volker
Type: Research Paper
Abstract: In a recent paper by Arav et al, SIAM J. Matrix Anal. and Appl., 22:392--412, 2000 the recursive inverse eigenvalue problem for matrices was introduced. In this paper we examine an open problem on the existence of symmetric positive semidefinite solutions that was posed there. We first give several counterexamples for the general case and then characterize under which further assumptions the conjecture is valid.
Subject(s): recursive inverse eigenvalue problem
positive semidefinite solution
Issue Date: 4-Jun-2002
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 15A18 Eigenvalues, singular values, and eigenvectors
15A29 Inverse problems
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2002, 737
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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