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In this paper, we consider an inverse problem with the k-tridiagonal Toeplitz matrices. A theoretical result is obtained that under certain assumptions the explicit inverse of a ktridiagonal Toeplitz matrix can be derived immediately. Two numerical examples are given to demonstrate the validity of our results. (c) ٢٠١٢ Elsevier Ltd. All rights reserved.
In this paper, by using a special matrix factorization, a symbolic computational algorithm is developed to solve the cyclic penta-diagonal linear system. The algorithm is suitable for implementation using Computer Algebra Systems (CASs) such as MATLAB, MATHEMATICA and MAPLE. In addition, an efficient way of evaluating the determinant of a cyclic… (More)
Pentadiagonal Toeplitz matrices frequently arise in many application areas and have been attracted much attention in recent years. In this paper, we present a numerical algorithm of O(log n) for computing the determinants of general pentadiagonal Toeplitz matrices without imposing any restrictive conditions. In addition, we investigate some special… (More)