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Realizable list by circulant and skew-circulant matrices. (English) Zbl 1496.15013

Summary: In this paper for two given sets of eigenvalues, which one of them is the eigenvalues of circulant matrix and the other is the eigenvalues of skew-circulant matrix, we find a nonnegative matrix, such that the union of two sets be the spectrum of nonnegative matrices.

MSC:

15A29 Inverse problems in linear algebra
15A18 Eigenvalues, singular values, and eigenvectors
15B05 Toeplitz, Cauchy, and related matrices
15A09 Theory of matrix inversion and generalized inverses
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