Abstract
In this paper, we derive an orthogonal block diagonalization and a number of formulas for pentadiagonal block band symmetric Toeplitz matrices and anti-pentadiagonal block band persymmetric Hankel matrices, both with perturbed corners. Namely, our formulas include block diagonalization, inverse, eigenvalues of these matrices. Our approach uses a suitable modification technique for pentadiagonal block band symmetric Toeplitz matrices and anti-pentadiagonal block band persymmetric Hankel matrices. Some numerical experiments are also presented to demonstrate the performance and effectiveness of the proposed theorems.
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Shams Solary, M. Computational properties of pentadiagonal and anti-pentadiagonal block band matrices with perturbed corners. Soft Comput 24, 301–309 (2020). https://doi.org/10.1007/s00500-019-04415-3
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DOI: https://doi.org/10.1007/s00500-019-04415-3