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On the skew-symmetric part of the Toeplitz component in the real normal (T + H)-problem. (Russian, English) Zbl 1249.15036
Zh. Vychisl. Mat. Mat. Fiz. 52, No. 2, 209-213 (2012); translation in Comput. Math. Math. Phys. 52, No. 2, 198-202 (2012).
Summary: The real normal Toeplitz-plus-Hankel problem is to characterize the matrices that can be represented as sums of two real matrices of which one is Toeplitz and the other Hankel. For a matrix of this type, relations are found between the skew-symmetric part of the Toeplitz component and the matrix obtained by reversing the order of columns in the Hankel component.

MSC:
15B05 Toeplitz, Cauchy, and related matrices
15B57 Hermitian, skew-Hermitian, and related matrices
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