Construction of real antisymmetric and bi-antisymmetric matrices with prescribed spectrum data
The author establishes some sufficient conditions on a given set of pure imaginary numbers for the existence of a real skew-symmetric matrix whose leading principal submatrices have prescribed eigenvalues from the set, and for the existence of a real centrosymmetric skew-symmetric matrix (which the author calls a ``bi-antisymmetric matrix'') whose central submatrices have prescribed eigenvalues from the set. For additional references concerning the results of Section 2 of this paper, see, for example, the reviewer [SIAM Rev. 40, No. 3, 697--698 (1998; Zbl 0918.15006)].
scientific article; zbMATH DE number 2117284