Characterization of Rank of a Matrix Over The Symmetrized Max-Plus Algebra
n this paper, we characterize the rank of a matrix over the symmetrized max-plus algebra. This characterization is based on linearly independence of columns or rows of the matrix in balance sense. We show that the rank of such a matrix can be determined using maximum number of rows or columns which...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Deanship of Scientific Research, Yarmouk University, Irbid, Jordan.
2022
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| Subjects: | |
| Online Access: | https://repository.ugm.ac.id/278571/1/Palupi_MA.PDF |
| _version_ | 1797037308056174592 |
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| author | Suroto, Suroto Palupi, Diah Junia Eksi Suparwanto, Ari |
| author_facet | Suroto, Suroto Palupi, Diah Junia Eksi Suparwanto, Ari |
| author_sort | Suroto, Suroto |
| collection | UGM |
| description | n this paper, we characterize the rank of a matrix over the symmetrized max-plus algebra. This characterization is based on linearly independence of columns or rows of the matrix in balance sense. We show that the rank of such a matrix can be determined using maximum number of rows or columns which are
linearly independent in balance sense. This completes the discussion in [1] which only uses minors to determine rank of matrix. |
| first_indexed | 2024-03-14T00:01:24Z |
| format | Article |
| id | oai:generic.eprints.org:278571 |
| institution | Universiti Gadjah Mada |
| language | English |
| last_indexed | 2024-03-14T00:01:24Z |
| publishDate | 2022 |
| publisher | Deanship of Scientific Research, Yarmouk University, Irbid, Jordan. |
| record_format | dspace |
| spelling | oai:generic.eprints.org:2785712023-11-02T03:51:24Z https://repository.ugm.ac.id/278571/ Characterization of Rank of a Matrix Over The Symmetrized Max-Plus Algebra Suroto, Suroto Palupi, Diah Junia Eksi Suparwanto, Ari Applied Statistics n this paper, we characterize the rank of a matrix over the symmetrized max-plus algebra. This characterization is based on linearly independence of columns or rows of the matrix in balance sense. We show that the rank of such a matrix can be determined using maximum number of rows or columns which are linearly independent in balance sense. This completes the discussion in [1] which only uses minors to determine rank of matrix. Deanship of Scientific Research, Yarmouk University, Irbid, Jordan. 2022-02-27 Article PeerReviewed application/pdf en https://repository.ugm.ac.id/278571/1/Palupi_MA.PDF Suroto, Suroto and Palupi, Diah Junia Eksi and Suparwanto, Ari (2022) Characterization of Rank of a Matrix Over The Symmetrized Max-Plus Algebra. Jordan Journal of Mathematics and Statistics (JJMS), 15 (4A). pp. 843-856. ISSN 2227-5487 https://journals.yu.edu.jo/jjms/Issues/Vol15No42022PDF/4.html https://doi.org/10.47013/15.4.4 |
| spellingShingle | Applied Statistics Suroto, Suroto Palupi, Diah Junia Eksi Suparwanto, Ari Characterization of Rank of a Matrix Over The Symmetrized Max-Plus Algebra |
| title | Characterization of Rank of a Matrix Over The Symmetrized Max-Plus Algebra |
| title_full | Characterization of Rank of a Matrix Over The Symmetrized Max-Plus Algebra |
| title_fullStr | Characterization of Rank of a Matrix Over The Symmetrized Max-Plus Algebra |
| title_full_unstemmed | Characterization of Rank of a Matrix Over The Symmetrized Max-Plus Algebra |
| title_short | Characterization of Rank of a Matrix Over The Symmetrized Max-Plus Algebra |
| title_sort | characterization of rank of a matrix over the symmetrized max plus algebra |
| topic | Applied Statistics |
| url | https://repository.ugm.ac.id/278571/1/Palupi_MA.PDF |
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