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Left and right inverse eigenpairs problem of skew-centrosymmetric matrices. (English) Zbl 1098.65039

The authors provide necessary and sufficient conditions for the existence of a skew-centrosymmetric matrix \(A\) having a given set of left and right eigenvalues and eigenvectors. It also contains an explicit expression for determining such a skew-centrosymmetric matrix that is nearest (in the Frobenius norm) to a given real matrix.

MSC:

65F18 Numerical solutions to inverse eigenvalue problems
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References:

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