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An inverse problem for symmetric doubly stochastic matrices. (English) Zbl 1049.15009

The construction of this paper is as follows. First, the author starts with notation, definitions and some basic background material, and then some applications are presented. Second, some open problems in this area together with some basic results are considered. Finally, the author’s main focus is on the symmetric doubly stochastic inverse eigenvalue problem.

MSC:

15A29 Inverse problems in linear algebra
15B51 Stochastic matrices
15A18 Eigenvalues, singular values, and eigenvectors
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