  Many authors studied numeric algorithms for solving the linear systems of the
pentadiagonal type. The well-known Fast Pentadiagonal System Solver algorithm
is an example of such algorithms. The current article are described new numeric
and symbolic algorithms for solving pentadiagonal linear systems via
transformations. New algorithms are natural generalization of the work
presented in [Moawwad El- Mikkawy and Faiz Atlan, Algorithms for Solving Linear
Systems of Equations of Tridiagonal Type via Transformations, Applied
Mathematics, 2014, 5, 413-422]. The symbolic algorithms remove the cases where
the numeric algorithms fail. The computational cost of our algorithms is given.
Some examples are given in order to illustrate the effectiveness of the
proposed algorithms. All of the experiments are performed on a computer with
the aid of programs written in MATLAB.
