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

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

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 obt...

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Veröffentlicht in:Computational mathematics and mathematical physics 2012-02, Vol.52 (2), p.198-202
1. Verfasser: Chugunov, V. N.
Format: Artikel
Sprache:eng
Schlagworte:
Alliances
Computation
Computational mathematics
Computational Mathematics and Numerical Analysis
Equality
Mathematical analysis
Mathematical models
Mathematics
Mathematics and Statistics
Matrices
Matrix
Matrix methods
Physics
Reversing
Studies
Sums
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Zusammenfassung: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.
ISSN:0965-5425
1555-6662
DOI:10.1134/S0965542511120116