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On the determinant evaluation of quasi penta-diagonal matrices and quasi penta-diagonal Toeplitz matrices

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Abstract

Recently, three computational algorithms for evaluating the determinant of quasi penta-diagonal matrices have been proposed by El-Mikkawy and Rahmo (Comput Math Appl 59:1386–1396, 2010), by Neossi Nguetchue and Abelman (Appl Math Comput 203:629–634, 2008), and by Jia et al. (Int J Comput Math 89:851–860, 2013), respectively. In the current paper, two novel algorithms with less computational costs are proposed for the determinant evaluation of general quasi penta-diagonal matrices and quasi penta-diagonal Toeplitz matrices. Furthermore, three numerical experiments are given to show the performance of our algorithms. All of the numerical computations were performed on a computer with aid of programs written in MATLAB.

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Authors and Affiliations

  1. College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830046, China

    Yao-Lin Jiang

  2. School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an, 710049, Shaanxi, China

    Yao-Lin Jiang & Ji-Teng Jia

Authors
  1. Yao-Lin Jiang
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  2. Ji-Teng Jia
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Corresponding author

Correspondence to Ji-Teng Jia.

Additional information

This work was supported by the Natural Science Foundation of China (NSFC) under Grant 11071192 and the International Science and Technology Cooperation Program of China under Grant 2010DFA14700.

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Jiang, YL., Jia, JT. On the determinant evaluation of quasi penta-diagonal matrices and quasi penta-diagonal Toeplitz matrices. J Math Chem 51, 2503–2513 (2013). https://doi.org/10.1007/s10910-013-0224-x

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  • DOI: https://doi.org/10.1007/s10910-013-0224-x

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