Solution of System of Linear Balances Using Minor Rank in the Symmetrized Max-Plus Algebra.
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| Title: | Solution of System of Linear Balances Using Minor Rank in the Symmetrized Max-Plus Algebra. |
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| Authors: | Suroto1 suroto@unsoed.ac.id, Wardayani, Ari1 ari.wardayani@unsoed.ac.id, Istikaanah, Najmah2 najmah.mtk@unsoed.ac.id |
| Source: | IAENG International Journal of Applied Mathematics. Jul2025, Vol. 55 Issue 7, p1931-1939. 9p. |
| Subjects: | Linear systems, Linear equations, Algebra, Matrices (Mathematics) |
| Abstract: | System of linear balances in symmetrized maxplus algebra has a similar role with system of linear equations in conventional algebra. Therefore, this study aimed to discuss the solution to system of linear balances in symmetrized maxplus algebra for arbitrary coefficient matrix. The solution was characterized using minor rank of the coefficient matrix, which was partitioned to position the submatrix corresponding to minor rank in the upper-left corner. Additionally, the guaranteed existence of this balanced inverse submatrix was used to construct solution to system of linear balances. The results showed that solution to the system could be characterized based on minor rank of the coefficient matrix, such as full-row rank, full-column rank, or neither. [ABSTRACT FROM AUTHOR] |
| Copyright of IAENG International Journal of Applied Mathematics is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 186335269 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Solution of System of Linear Balances Using Minor Rank in the Symmetrized Max-Plus Algebra. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Suroto%22">Suroto</searchLink><relatesTo>1</relatesTo><i> suroto@unsoed.ac.id</i><br /><searchLink fieldCode="AR" term="%22Wardayani%2C+Ari%22">Wardayani, Ari</searchLink><relatesTo>1</relatesTo><i> ari.wardayani@unsoed.ac.id</i><br /><searchLink fieldCode="AR" term="%22Istikaanah%2C+Najmah%22">Istikaanah, Najmah</searchLink><relatesTo>2</relatesTo><i> najmah.mtk@unsoed.ac.id</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22IAENG+International+Journal+of+Applied+Mathematics%22">IAENG International Journal of Applied Mathematics</searchLink>. Jul2025, Vol. 55 Issue 7, p1931-1939. 9p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Linear+systems%22">Linear systems</searchLink><br /><searchLink fieldCode="DE" term="%22Linear+equations%22">Linear equations</searchLink><br /><searchLink fieldCode="DE" term="%22Algebra%22">Algebra</searchLink><br /><searchLink fieldCode="DE" term="%22Matrices+%28Mathematics%29%22">Matrices (Mathematics)</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: System of linear balances in symmetrized maxplus algebra has a similar role with system of linear equations in conventional algebra. Therefore, this study aimed to discuss the solution to system of linear balances in symmetrized maxplus algebra for arbitrary coefficient matrix. The solution was characterized using minor rank of the coefficient matrix, which was partitioned to position the submatrix corresponding to minor rank in the upper-left corner. Additionally, the guaranteed existence of this balanced inverse submatrix was used to construct solution to system of linear balances. The results showed that solution to the system could be characterized based on minor rank of the coefficient matrix, such as full-row rank, full-column rank, or neither. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of IAENG International Journal of Applied Mathematics is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 9 StartPage: 1931 Subjects: – SubjectFull: Linear systems Type: general – SubjectFull: Linear equations Type: general – SubjectFull: Algebra Type: general – SubjectFull: Matrices (Mathematics) Type: general Titles: – TitleFull: Solution of System of Linear Balances Using Minor Rank in the Symmetrized Max-Plus Algebra. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Suroto – PersonEntity: Name: NameFull: Wardayani, Ari – PersonEntity: Name: NameFull: Istikaanah, Najmah IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 07 Text: Jul2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 19929978 Numbering: – Type: volume Value: 55 – Type: issue Value: 7 Titles: – TitleFull: IAENG International Journal of Applied Mathematics Type: main |
| ResultId | 1 |
