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A Note on the Symmetric Recursive Inverse Eigenvalue Problem

โœ Scribed by Loewy, Raphael; Mehrmann, Volker


Book ID
118216030
Publisher
Society for Industrial and Applied Mathematics
Year
2003
Tongue
English
Weight
121 KB
Volume
25
Category
Article
ISSN
0895-4798

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For a positive integer n and for a real number s, let s n denote the set of all n ร— n real matrices whose rows and columns have sum s. In this note, by an explicit constructive method, we prove the following. (i) Given any real n-tuple = (ฮป 1 , ฮป 2 , . . . , ฮป n ) T , there exists a symmetric matri