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On the skew-symmetric part of the Toeplitz component in the real normal (T + H)-problem

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Abstract

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.

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References

  1. N. V. Efimov and E. R. Rozendorn, Linear Algebra and Multidimensional Geometry (Nauka, Moscow, 1975) [in Russian].

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  2. V. N. Chugunov, “On Particular Solutions of the Normal (T + H)-Problem,” Comput. Math. Math. Phys. 50, 583–588 (2010).

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Authors and Affiliations

  1. Institute of Numerical Mathematics, Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991, Russia

    V. N. Chugunov

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  1. V. N. Chugunov
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Correspondence to V. N. Chugunov.

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Original Russian Text © V.N. Chugunov, 2012, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2012, Vol. 52, No. 2, pp. 209–213.

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Chugunov, V.N. On the skew-symmetric part of the Toeplitz component in the real normal (T + H)-problem. Comput. Math. and Math. Phys. 52, 198–202 (2012). https://doi.org/10.1134/S0965542511120116

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  • DOI: https://doi.org/10.1134/S0965542511120116

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