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Toeplitz-plus-Hankel matrices with perturbed corners | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 244، دوره 13، شماره 2، مهر 2022، صفحه 3057-3072 اصل مقاله (650.39 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.20564.2171 | ||
| نویسنده | ||
| Maryam Shams Solary* | ||
| Assistant Professor of Applied Mathematics, Payame Noor University, Po Box 19395-3697 Tehran, IRAN | ||
| تاریخ دریافت: 18 خرداد 1399، تاریخ بازنگری: 17 فروردین 1401، تاریخ پذیرش: 05 اردیبهشت 1401 | ||
| 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. | ||
| کلیدواژه‌ها | ||
| Eigenvalues؛ Eigenvectors؛ determinant matrix | ||
| مراجع | ||
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