๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

The solvability conditions for the inverse problems of symmetric ortho-symmetric matrices

โœ Scribed by Fu-Zhao Zhou; Xi-Yan Hu; Lei Zhang

Book ID
108395914
Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
239 KB
Volume
154
Category
Article
ISSN
0096-3003

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

The solvability conditions for inverse e
The solvability conditions for inverse eigenproblem of symmetric and anti-persymmetric matrices and its approximation
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

The inverse eigenvalue problem for symme
The inverse eigenvalue problem for symmetric doubly stochastic matrices
โœ Suk-Geun Hwang; Sung-Soo Pyo ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 173 KB

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