Toeplitz-plus-Hankel matrices with perturbed corners

Document Type : Research Paper


Assistant Professor of Applied Mathematics, Payame Noor University, Po Box 19395-3697 Tehran, IRAN


This paper examines suitable borderings and modification techniques for finding some special properties of a class of real heptadiagonal symmetric Toeplitz matrices and anti-heptadiagonal persymmetric Hankel matrices with perturbed corners as the zeros of explicit rational functions. An orthogonal diagonalization, inverse and determinant, and a formula to compute its integer powers for these matrices are shown. Then, these results are expanded for the corresponding Toeplitz-plus-Hankel matrices with perturbed corners.


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Volume 13, Issue 2
July 2022
Pages 3057-3072
  • Receive Date: 07 June 2020
  • Revise Date: 06 April 2022
  • Accept Date: 25 April 2022