Algorithms for Solving Linear Systems of Equations of Tridiagonal Type via Transformations

Moawwad El-Mikkawy, Faiz Atlan

Mathematics Department, Faculty of Science, Mansoura University, Mansoura, Egypt.

DOI: 10.4236/am.2014.53042                

Abstract

Numeric algorithms for solving the linear systems of tridiagonal type have already existed. The well-known Thomas algorithm is an example of such algorithms. The current paper is mainly devoted to constructing symbolic algorithms for solving tridiagonal linear systems of equations via transformations. The new symbolic algorithms remove the cases where the numeric algorithms fail. The computational cost of these algorithms is given. MAPLE procedures based on these algorithms are presented. Some illustrative examples are given.

Keywords

Tridiagonal Matrix; Permutation Matrix; Algorithm; MAPLE

Conflicts of Interest

The authors declare no conflicts of interest.

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