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On Doubly Symmetric Tridiagonal Forms for Complex Matrices and Tridiagonal Inverse Eigenvalue Problems

✍ Scribed by George, A.; Ikramov, Kh.; Tang, W.-P.; Tchugunov, V. N.

Book ID
118216115
Publisher
Society for Industrial and Applied Mathematics
Year
1996
Tongue
English
Weight
989 KB
Volume
17
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 Γ— 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 = (Ξ» 1 , Ξ» 2 , . . . , Ξ» n ) T , there exists a symmetric matri