Counter Example: The Algorithm of Determinant of Centrosymmteric Matrix based on Lower Hessenberg Form

The algorithm for computing determinant of centrosymmetric matrix has been evaluated before. This algorithm shows the efficient computational determinant process on centrosymmetric matrix by working on block matrix only. One of block matrix at centrosymmetric matrix appearing on this algorithm is lo...

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Autores principales:	Nur Khasanah, Farikhin Farikhin
Formato:	article
Lenguaje:	EN
Publicado:	Department of Mathematics, UIN Sunan Ampel Surabaya 2020
Materias:	centrosymmetric; determinant; block matrices; lower hessenberg Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/47031c288260484787b9d09df5faeabf
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spelling	oai:doaj.org-article:47031c288260484787b9d09df5faeabf2021-12-02T14:27:07ZCounter Example: The Algorithm of Determinant of Centrosymmteric Matrix based on Lower Hessenberg Form2527-31592527-316710.15642/mantik.2020.6.1.20-29https://doaj.org/article/47031c288260484787b9d09df5faeabf2020-05-01T00:00:00Zhttp://jurnalsaintek.uinsby.ac.id/index.php/mantik/article/view/848https://doaj.org/toc/2527-3159https://doaj.org/toc/2527-3167The algorithm for computing determinant of centrosymmetric matrix has been evaluated before. This algorithm shows the efficient computational determinant process on centrosymmetric matrix by working on block matrix only. One of block matrix at centrosymmetric matrix appearing on this algorithm is lower Hessenberg form. However, the other block matrices may possibly appear as block matrix for centrosymmetric matrix’s determinant. Therefore, this study is aimed to show the possible block matrices at centrosymmetric matrix and how the algorithm solve the centrosymmetric matrix’s determinant. Some numerical examples for different cases of block matrices on determinant of centrosymmetric matrix are given also. These examples are useful for more understanding for applying the algorithm with different cases.Nur KhasanahFarikhin FarikhinDepartment of Mathematics, UIN Sunan Ampel Surabayaarticlecentrosymmetric; determinant; block matrices; lower hessenbergMathematicsQA1-939ENMantik: Jurnal Matematika, Vol 6, Iss 1, Pp 20-29 (2020)
institution	DOAJ
collection	DOAJ
language	EN
topic	centrosymmetric; determinant; block matrices; lower hessenberg Mathematics QA1-939
spellingShingle	centrosymmetric; determinant; block matrices; lower hessenberg Mathematics QA1-939 Nur Khasanah Farikhin Farikhin Counter Example: The Algorithm of Determinant of Centrosymmteric Matrix based on Lower Hessenberg Form
description	The algorithm for computing determinant of centrosymmetric matrix has been evaluated before. This algorithm shows the efficient computational determinant process on centrosymmetric matrix by working on block matrix only. One of block matrix at centrosymmetric matrix appearing on this algorithm is lower Hessenberg form. However, the other block matrices may possibly appear as block matrix for centrosymmetric matrix’s determinant. Therefore, this study is aimed to show the possible block matrices at centrosymmetric matrix and how the algorithm solve the centrosymmetric matrix’s determinant. Some numerical examples for different cases of block matrices on determinant of centrosymmetric matrix are given also. These examples are useful for more understanding for applying the algorithm with different cases.
format	article
author	Nur Khasanah Farikhin Farikhin
author_facet	Nur Khasanah Farikhin Farikhin
author_sort	Nur Khasanah
title	Counter Example: The Algorithm of Determinant of Centrosymmteric Matrix based on Lower Hessenberg Form
title_short	Counter Example: The Algorithm of Determinant of Centrosymmteric Matrix based on Lower Hessenberg Form
title_full	Counter Example: The Algorithm of Determinant of Centrosymmteric Matrix based on Lower Hessenberg Form
title_fullStr	Counter Example: The Algorithm of Determinant of Centrosymmteric Matrix based on Lower Hessenberg Form
title_full_unstemmed	Counter Example: The Algorithm of Determinant of Centrosymmteric Matrix based on Lower Hessenberg Form
title_sort	counter example: the algorithm of determinant of centrosymmteric matrix based on lower hessenberg form
publisher	Department of Mathematics, UIN Sunan Ampel Surabaya
publishDate	2020
url	https://doaj.org/article/47031c288260484787b9d09df5faeabf
work_keys_str_mv	AT nurkhasanah counterexamplethealgorithmofdeterminantofcentrosymmtericmatrixbasedonlowerhessenbergform AT farikhinfarikhin counterexamplethealgorithmofdeterminantofcentrosymmtericmatrixbasedonlowerhessenbergform
_version_	1718391306783293440

Counter Example: The Algorithm of Determinant of Centrosymmteric Matrix based on Lower Hessenberg Form

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