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On the symmetric doubly stochastic inverse eigenvalue problem

✍ Scribed by Lei, Ying-Jie; Xu, Wei-Ru; Lu, Yong; Niu, Yan-Ru; Gu, Xian-Ming


Book ID
122279975
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
392 KB
Volume
445
Category
Article
ISSN
0024-3795

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The inverse eigenvalue problem for symme
✍ Suk-Geun Hwang; Sung-Soo Pyo πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 173 KB

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