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Construction of real antisymmetric and bi-antisymmetric matrices with prescribed spectrum data. (English) Zbl 1069.15013

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)].

MSC:

15A29 Inverse problems in linear algebra
15A18 Eigenvalues, singular values, and eigenvectors
15B57 Hermitian, skew-Hermitian, and related matrices

Citations:

Zbl 0918.15006
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References:

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