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