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On Solving Pentadiagonal Linear Systems via Transformations

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  • S. S. Askar
  • A. A. Karawia

Abstract

Many authors have studied numerical algorithms for solving the linear systems of pentadiagonal type. The well-known fast pentadiagonal system solver algorithm is an example of such algorithms. The current paper describes new numerical and symbolic algorithms for solving pentadiagonal linear systems via transformations. The proposed algorithms generalize the algorithms presented in El-Mikkawy and Atlan, 2014. Our symbolic algorithms remove the cases where the numerical algorithms fail. The computational cost of our algorithms is better than those algorithms in literature. Some examples are given in order to illustrate the effectiveness of the proposed algorithms. All experiments are carried out on a computer with the aid of programs written in MATLAB.

Suggested Citation

  • S. S. Askar & A. A. Karawia, 2015. "On Solving Pentadiagonal Linear Systems via Transformations," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-9, March.
    • Handle: RePEc:hin:jnlmpe:232456
    DOI: 10.1155/2015/232456
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    Cited by:

    1. María Alejandra Alvarez & André Ebling Brondani & Francisca Andrea Macedo França & Luis A. Medina C., 2020. "Characteristic Polynomials and Eigenvalues for Certain Classes of Pentadiagonal Matrices," Mathematics, MDPI, vol. 8(7), pages 1-12, July.

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