Proceedings of the 1st International Conference on Mathematics and Mathematics Education (ICMMEd 2020)

The Determinant of Pentadiagonal Centrosymmetric Matrix Based on Sparse Hessenberg’s Algorithm

Authors
N Khasanah
Corresponding Author
N Khasanah
Available Online 11 May 2021.
DOI
10.2991/assehr.k.210508.048How to use a DOI?
Keywords
general pentadiagonal, centrosymmetric structure, sparse Hessenberg, algorithm, determinant
Abstract

The algorithm of general pentadiagonal matrix has been evaluated before for computational purpose. The properties of this matrix on sparse structure are exploited to compute an efficient algorithm. This article propose a new construction of pentadiagonal matrix having centrosymmetric structure called pentadiagonal centrosymmetric matrix. Moreover, by applying the algorithm of determinant sparse Hessenberg matrix, an explicit formula of pentadiagonal centrosymmetric matrix’s determinant is developed.

Copyright
© 2021, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 1st International Conference on Mathematics and Mathematics Education (ICMMEd 2020)
Series
Advances in Social Science, Education and Humanities Research
Publication Date
11 May 2021
ISBN
10.2991/assehr.k.210508.048
ISSN
2352-5398
DOI
10.2991/assehr.k.210508.048How to use a DOI?
Copyright
© 2021, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - CONF
AU  - N Khasanah
PY  - 2021
DA  - 2021/05/11
TI  - The Determinant of Pentadiagonal Centrosymmetric Matrix Based on Sparse Hessenberg’s Algorithm
BT  - Proceedings of the 1st International Conference on Mathematics and Mathematics Education (ICMMEd 2020)
PB  - Atlantis Press
SP  - 93
EP  - 97
SN  - 2352-5398
UR  - https://doi.org/10.2991/assehr.k.210508.048
DO  - 10.2991/assehr.k.210508.048
ID  - Khasanah2021
ER  -