Guo perturbation for symmetric nonnegative circulant matrices (Q1030723)

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scientific article; zbMATH DE number 5574549
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Guo perturbation for symmetric nonnegative circulant matrices
scientific article; zbMATH DE number 5574549

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    Guo perturbation for symmetric nonnegative circulant matrices (English)
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    2 July 2009
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    The authors provide a positive answer to the first question proposed by \textit{W. Guo} [Linear Algebra Appl. 266, 261--270 (1997; Zbl 0903.15003)] on a nonnegative inverse eigenvalue problem, in the case that the realizing matrix is symmetric nonnegative circulant or left circulant. The authors also show that there exist symmetric realizability criteria, for which Guo's first question has an affirmative answer. Two examples are provided.
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    symmetric nonnegative circulant matrices
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    spectra perturbation
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    inverse eigenvalue problem
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