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THE EXISTENCE OF SOLUTION OF GENERALIZED EIGENPROBLEM IN INTERVAL MAX-PLUS ALGEBRA

BAREKENG: Jurnal Ilmu Matematika dan Terapan · Vol. 17 No. 3 (2023) · hlm. 1341–1346

DOI
10.30598/barekengvol17iss3pp1341-1346
ISSN
2615-3017, 1978-7227
Terbit
2023-09-30
Penerbit
PATTIMURA UNIVERSITY
Bahasa
eng
Lisensi
creativecommons.org/licenses/by-sa/4.0

Abstrak

An eigenproblem of a matrix is where and. Vector and are eigenvector and eigenvalue, respectively. General form of eigenvalue problem is with,. Interval maks-plus algebra is and equipped with a maximum ( and plus operations. The set of matrices which its component elements of is called matrices over interval max-plus algebra and denoted by. Let, eigenproblem in interval max-plus algebra is with and. Vector and are eigenvector and eigenvalue, respectively. In this research, we will discuss the generalization of the eigenproblem in interval max-plus algebra. Especially about the existence of solution of generalized eigenproblem in interval max-plus algebra. Keywords: interval max-plus algebra, generalized eigenproblem, the existence of the solution.

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  • Hasanuddin University
  • Cenderawasih University
  • Sebelas Maret University
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  • Universitas Sulawesi Barat
  • Universitas Papua
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Anisa KalondengHasanuddin University4
Sri Astuti ThamrinHasanuddin University3
Andi Isna YunitaHasanuddin University2
Andi M. Alfin BasoHasanuddin University2
Nurtiti SunusiHasanuddin University2
Yundy HafizriandaCenderawasih University1
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Afifah Mutiah NurdinHasanuddin University1
Muh. Indirwan ArfanHasanuddin University1
Sitti SahrimanAfiliasi tidak diketahui1
Muhammad FadilAfiliasi tidak diketahui1
A. Muthiah Nur AngrianyHasanuddin University1
Rini JamalAfiliasi tidak diketahui1
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Rahmiati RahimAfiliasi tidak diketahui1
Nirwan IlyasHasanuddin University1
Haksar HaksarAfiliasi tidak diketahui1
Endang SulastriSebelas Maret University1
Ririn SetiyowatiSebelas Maret University1
Nur Hilal A. SyahrirUniversitas Sulawesi Barat1
Nurul RezkiAfiliasi tidak diketahui1
Sri Indriani AmilHasanuddin University1
Georgina Maria TinungkiHasanuddin University1
Taufiq AkbarHasanuddin University1
Fadilah Amirul AdhelHasanuddin University1
Zaraswati Dwyana ZainuddinHasanuddin University1
Herlina RasyidHasanuddin University1
Nur Aliah RamadhaniHasanuddin University1
Nadia Nazwadiah CaesarHasanuddin University1
Nurfadilah NurfadilahHasanuddin University1
Muhammad Ridzky DavalaHasanuddin University1
Junianto SesaUniversitas Papua1
Maria Yus Trinity IrsanPresident University1
Evelyn PriscillaPresident University1
Mirna MirnaHasanuddin University1
Muhammad YusranHasanuddin University1
Ummul Auliyah SyamHasanuddin University1

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Sumber metadata: OAI-PMH (metadata jurnal) https://ojs3.unpatti.ac.id/index.php/barekeng/oai, pertama di-harvest 5 Nov 2026, terakhir terlihat 8 Nov 2026.
Metadata asli (oai_dc) 
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	<dc:title xml:lang="en-US">THE EXISTENCE OF SOLUTION OF GENERALIZED EIGENPROBLEM IN INTERVAL MAX-PLUS ALGEBRA</dc:title>
	<dc:creator>Siswanto, Siswanto</dc:creator>
	<dc:description xml:lang="en-US">An eigenproblem of a matrix  &amp;nbsp;is  &amp;nbsp;where  &amp;nbsp;and  . Vector  &amp;nbsp;and  &amp;nbsp;&amp;nbsp;&amp;nbsp;are eigenvector and eigenvalue, respectively. General form of eigenvalue problem is  &amp;nbsp;with  ,  . Interval maks-plus algebra is  &amp;nbsp;and  &amp;nbsp;equipped with a maximum ( &amp;nbsp;and plus  &amp;nbsp;&amp;nbsp;operations. The set of  &amp;nbsp;matrices which its component elements of  &amp;nbsp;is called matrices over interval max-plus algebra and denoted by  . Let  , eigenproblem in interval max-plus algebra is  &amp;nbsp;with &amp;nbsp;and  . Vector  &amp;nbsp;and  &amp;nbsp;are eigenvector and eigenvalue, respectively. In this research, we will discuss the generalization of the eigenproblem in interval max-plus algebra. Especially about the existence of solution of generalized eigenproblem in interval max-plus algebra. Keywords: interval max-plus algebra, generalized eigenproblem, the existence of the solution.</dc:description>
	<dc:publisher xml:lang="en-US">PATTIMURA UNIVERSITY</dc:publisher>
	<dc:date>2023-09-30</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
	<dc:type>info:eu-repo/semantics/publishedVersion</dc:type>
	<dc:format>application/pdf</dc:format>
	<dc:identifier>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/8011</dc:identifier>
	<dc:identifier>10.30598/barekengvol17iss3pp1341-1346</dc:identifier>
	<dc:source xml:lang="en-US">BAREKENG: Jurnal Ilmu Matematika dan Terapan; Vol 17 No 3 (2023): BAREKENG: Journal of Mathematics and Its Applications; 1341-1346</dc:source>
	<dc:source>2615-3017</dc:source>
	<dc:source>1978-7227</dc:source>
	<dc:source>10.30598/barekengvol17iss3year2023</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/8011/6547</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2023 Siswanto Siswanto</dc:rights>
	<dc:rights xml:lang="en-US">http://creativecommons.org/licenses/by-sa/4.0</dc:rights>
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