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The solvability conditions for the inverse eigenproblems of symmetric and generalized centro-symmetric matrices and their approximations

โœ Scribed by Dongxiu Xie; Xiyan Hu; Yan-ping Sheng


Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
155 KB
Volume
418
Category
Article
ISSN
0024-3795

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## Canonical correlation decomposition (CCD) Best approximation a b s t r a c t In this paper, we first give the solvability condition for the following inverse eigenproblem (IEP): given a set of vectors {x i } m i=1 in C n and a set of complex numbers {ฮป i } m i=1 , find a matrix A โˆˆ GSC nร—n such

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## 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