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Some inverse problems for acyclic matrices - MaRDI portal

Some inverse problems for acyclic matrices (Q677126)

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scientific article; zbMATH DE number 994635
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Some inverse problems for acyclic matrices
scientific article; zbMATH DE number 994635

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    Some inverse problems for acyclic matrices (English)
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    8 January 1998
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    This paper studies several cases in which, for a given pair of mutually orthogonal vectors, there exists a (maybe specified) acyclic matrix having the given vectors as eigenvectors. Here, as in the author's earlier work on eigenvectors of such matrices [Czechosl. Math. J. 25 (100), 607-618 (1975; Zbl 0325.15014)], an acyclic matrix is a real symmetric matrix whose nondirected graph is a forest.
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    acyclic matrices
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    inverse eigenvalue problems
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    eigenvectors
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    nondirected graph
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