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 |
| Published: |
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 |
| Summary: | 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. |
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