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A novel algorithm for solving quasi penta-diagonal linear systems

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Abstract

In this paper, a novel numerical algorithm for solving quasi penta-diagonal linear systems is presented. The computational costs of the algorithm is less than those of three successful algorithms given by El-Mikkawy and Rahmo (Comput Math Appl 59:1386–1396, 2010), by Lv and Le (Appl Math Comput 204:707–712, 2008), and by Jia et al. (Int J Comput Math 89:851–860, 2012). In addition, a new recursive method for inverting the quasi penta-diagonal matrices is also discussed. The implementation of the algorithm using Computer Algebra Systems (CASs) such as MATLAB and MAPLE is straightforward. Two numerical examples are given in order to demonstrate the performance and efficiency of our algorithm.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Xi’an Jiaotong University, Xi’an, 710049, Shaanxi, China

    Ji-Teng Jia

  2. Graduate School of Information Science and Technology, Aichi Prefectural University, 1522-3 Kumabari, Nagakute, Aichi, 480-1198, Japan

    Tomohiro Sogabe

Authors
  1. Ji-Teng Jia
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  2. Tomohiro Sogabe
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Correspondence to Ji-Teng Jia.

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Jia, JT., Sogabe, T. A novel algorithm for solving quasi penta-diagonal linear systems. J Math Chem 51, 881–889 (2013). https://doi.org/10.1007/s10910-012-0122-7

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  • DOI: https://doi.org/10.1007/s10910-012-0122-7

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