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The inverse spectrum problem for positive generalized stochastic matrices

✍ Scribed by R.L. Soto

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
837 KB
Volume
43
Category
Article
ISSN
0898-1221

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✦ Synopsis

consider the inverse spectrum problem for nonnegative matrices. In particular, we derive sufficient conditions for the existence of nonnegative and positive generalized stochastic and generalized doubly stochastic matrices with complex and real prescribed spectrum.

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✍ 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