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The Inverse Eigenproblem of Centrosymmetric Matrices with a Submatrix Constraint and Its Approximation

โœ Scribed by Bai, Zheng-Jian


Book ID
118216079
Publisher
Society for Industrial and Applied Mathematics
Year
2005
Tongue
English
Weight
200 KB
Volume
26
Category
Article
ISSN
0895-4798

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โœ Dongxiu Xie; Xiyan Hu; Lei Zhang ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 104 KB

## Abstract The problem of generating a matrix __A__ with specified eigenโ€pair, where __A__ is a symmetric and antiโ€persymmetric matrix, is presented. An existence theorem is given and proved. A general expression of such a matrix is provided. We denote the set of such matrices by ๐’ฎ๐’œ๐’ฎ~E~^__n__^. Th