The Cholesky Decomposition of Matrices over the Symmetrized Max-Plus Algebra
This paper discusses the Cholesky decomposition in the symmetrized max-plus algebra. By using a link between the conventional algebra and the symmetrized max-plus algebra, we show the existence of the Cholesky decomposition of a matrix over the symmetrized max-plus algebra. A matrix has the Cholesky...
| Main Authors: | , , |
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| Format: | Other |
| Language: | English |
| Published: |
IAENG International Journal of Applied Mathematics
2022
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| Subjects: | |
| Online Access: | https://repository.ugm.ac.id/284441/1/Suroto.pdf |
| Summary: | This paper discusses the Cholesky decomposition in the symmetrized max-plus algebra. By using a link between the conventional algebra and the symmetrized max-plus algebra, we show the existence of the Cholesky decomposition of a matrix over the symmetrized max-plus algebra. A matrix has the Cholesky decomposition if it is symmetric and has principal leading submatrices whose determinant are positive. The results can be used to determine the solution of linear balance systems. © 2022, IAENG International Journal of Applied Mathematics. All Rights Reserved. |
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