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On a recurrence for permanents of a sequence of 3-tridiagonal matrices

Trojovský Pavel, Zvoníková Iva

Journal of Applied Mathematics and Computational Mechanics

2019

Vol. 18, nr 4

95--100

This is a corrigendum of the paper: Küçük, A. Z. & Düz, M. (2017). Relationships between the permanents of a certain type of k-tridiagonal symmetric Toeplitz and the Chebyshev polynomials. Journal of Applied Mathematics and Computational Mechanics, 16, 75-86. We will show that Remark 9, on page 84, does not hold, what is the consequence of the incorrect proof, which authors formulated there.

A numerical algorithm for computing the inverse of a Toeplitz pentadiagonal matrix

Talibi B., Hadj D. A., Sarsri D.

Journal of Applied Mathematics and Computational Mechanics

2018

Vol. 17, nr 3

83--95

In the current paper, we present a computationally efficient algorithm for obtaining the inverse of a pentadiogonal toeplitz matrix. Few conditions are required, and the algorithm is suited for implementation using computer algebra systems.

Relationships between the permanents of a certain type of k-tridiagonal symmetric Toeplitz matrix and the Chebyshev polynomials

Kucuk A. Z., Duz M.

Journal of Applied Mathematics and Computational Mechanics

2017

Vol. 16, nr 1

75--86

In this study, the recursive relations between the permanents of a certain type of the k-tridiagonal symmetric Toeplitz matrix with complex entries and the Chebyshev polynomials of the second kind are presented.