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Matrix representation of formal polynomials over max-plus algebra.
- Source :
-
Journal of Algebra & Its Applications . Nov2021, Vol. 20 Issue 11, p1-27. 27p. - Publication Year :
- 2021
-
Abstract
- This paper proposes the matrix representation of formal polynomials over max-plus algebra and obtains the maximum and minimum canonical forms of a polynomial function by standardizing this representation into a canonical form. A necessary and sufficient condition for two formal polynomials corresponding to the same polynomial function is derived. Such a matrix method is constructive and intuitive, and leads to a polynomial algorithm for factorization of polynomial functions. Some illustrative examples are presented to demonstrate the results. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ALGEBRA
*MAXIMA & minima
*ALGORITHMS
*MATRICES (Mathematics)
*FACTORIZATION
Subjects
Details
- Language :
- English
- ISSN :
- 02194988
- Volume :
- 20
- Issue :
- 11
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra & Its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 153123706
- Full Text :
- https://doi.org/10.1142/S0219498821502169