Toeplitz-plus-Hankel matrices with perturbed corners

نویسندگان

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

doi
10.22075/ijnaa.2022.20564.2171
چکیده

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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