The Rule of Hessenberg Matrix for Computing Determinant of Centrosymmetric Matrices

The application of centrosymmetric matrix on engineering take their part, particulary about determinat rule. This basic rule needs computational process for determining appropiate algorithm. Therefore, by the algorithm of determinant kind of Hessenberg matrix, this is used for computing determinant...

Full description

Bibliographic Details
Main Authors: Nur Khasanah, Agustin Absari Wahyu Kuntarini
Format: Article
Language:English
Published: Mathematics Department UIN Maulana Malik Ibrahim Malang 2020-11-01
Series:Cauchy: Jurnal Matematika Murni dan Aplikasi
Online Access:https://ejournal.uin-malang.ac.id/index.php/Math/article/view/9939
_version_ 1828319736649220096
author Nur Khasanah
Agustin Absari Wahyu Kuntarini
author_facet Nur Khasanah
Agustin Absari Wahyu Kuntarini
author_sort Nur Khasanah
collection DOAJ
description The application of centrosymmetric matrix on engineering take their part, particulary about determinat rule. This basic rule needs computational process for determining appropiate algorithm. Therefore, by the algorithm of determinant kind of Hessenberg matrix, this is used for computing determinant of centrosymmetric matrix more efficiently. This paper shows the algorithm of lower Hessenberg and sparse Hessenberg matrix to construct the efficient alforithm of determinant of centrosymmetric matrix. By using the special structure of centrosymmetric matrix, the algorithm of these determinant are usefull for their own characterstics.
first_indexed 2024-04-13T18:01:44Z
format Article
id doaj.art-73bbfb70e3124ee384b12ed363e73eec
institution Directory Open Access Journal
issn 2086-0382
2477-3344
language English
last_indexed 2024-04-13T18:01:44Z
publishDate 2020-11-01
publisher Mathematics Department UIN Maulana Malik Ibrahim Malang
record_format Article
series Cauchy: Jurnal Matematika Murni dan Aplikasi
spelling doaj.art-73bbfb70e3124ee384b12ed363e73eec2022-12-22T02:36:14ZengMathematics Department UIN Maulana Malik Ibrahim MalangCauchy: Jurnal Matematika Murni dan Aplikasi2086-03822477-33442020-11-016314014810.18860/ca.v6i3.99395313The Rule of Hessenberg Matrix for Computing Determinant of Centrosymmetric MatricesNur Khasanah0Agustin Absari Wahyu Kuntarini1UIN Walisongo SemarangUIN Walisongo SemarangThe application of centrosymmetric matrix on engineering take their part, particulary about determinat rule. This basic rule needs computational process for determining appropiate algorithm. Therefore, by the algorithm of determinant kind of Hessenberg matrix, this is used for computing determinant of centrosymmetric matrix more efficiently. This paper shows the algorithm of lower Hessenberg and sparse Hessenberg matrix to construct the efficient alforithm of determinant of centrosymmetric matrix. By using the special structure of centrosymmetric matrix, the algorithm of these determinant are usefull for their own characterstics.https://ejournal.uin-malang.ac.id/index.php/Math/article/view/9939
spellingShingle Nur Khasanah
Agustin Absari Wahyu Kuntarini
The Rule of Hessenberg Matrix for Computing Determinant of Centrosymmetric Matrices
Cauchy: Jurnal Matematika Murni dan Aplikasi
title The Rule of Hessenberg Matrix for Computing Determinant of Centrosymmetric Matrices
title_full The Rule of Hessenberg Matrix for Computing Determinant of Centrosymmetric Matrices
title_fullStr The Rule of Hessenberg Matrix for Computing Determinant of Centrosymmetric Matrices
title_full_unstemmed The Rule of Hessenberg Matrix for Computing Determinant of Centrosymmetric Matrices
title_short The Rule of Hessenberg Matrix for Computing Determinant of Centrosymmetric Matrices
title_sort rule of hessenberg matrix for computing determinant of centrosymmetric matrices
url https://ejournal.uin-malang.ac.id/index.php/Math/article/view/9939
work_keys_str_mv AT nurkhasanah theruleofhessenbergmatrixforcomputingdeterminantofcentrosymmetricmatrices
AT agustinabsariwahyukuntarini theruleofhessenbergmatrixforcomputingdeterminantofcentrosymmetricmatrices
AT nurkhasanah ruleofhessenbergmatrixforcomputingdeterminantofcentrosymmetricmatrices
AT agustinabsariwahyukuntarini ruleofhessenbergmatrixforcomputingdeterminantofcentrosymmetricmatrices