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Centrosymmetric and centro-skewsymmetric Toeplitz-plus-Hankel matrices and Bezoutians

Authors
Journal
Linear Algebra and its Applications
0024-3795
Publisher
Elsevier
Publication Date
Volume
366
Identifiers
DOI: 10.1016/s0024-3795(02)00506-2
Keywords
  • Toeplitz-Plus-Hankel Matrix
  • Bezoutian
  • Centrosymmetric Matrix
  • Matrix Inversion
Disciplines
  • Mathematics

Abstract

Abstract In the paper algebraic properties of centrosymmetric and centro-skewsymmetric Toeplitz-plus-Hankel (T+H) matrices are investigated. It is shown that in the nonsingular case the inverse can be constructed with the help of the solutions of four related Toeplitz systems with symmetric or skewsymmetric right-hand sides. In the singular case the related Toeplitz matrices determine the kernel of the T+H matrices. Finally centrosymmetric and centro-skewsymmetric T+H Bezoutians are characterized.

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