Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 13 2 2022 07 01 Toeplitz-plus-Hankel matrices with perturbed corners 3057 3072 6460 10.22075/ijnaa.2022.20564.2171 EN Maryam Shams Solary Assistant Professor of Applied Mathematics, Payame Noor University, Po Box 19395-3697 Tehran, IRAN Journal Article 2020 06 07 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. Eigenvalues Eigenvectors determinant matrix https://ijnaa.semnan.ac.ir/article_6460_9d368508938bcdb6557da5b81cd6e961.pdf