Matrix representation of formal polynomials over max-plus algebra
Keyword(s):
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.
2018 ◽
Vol 6
(5)
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pp. 459-472
1966 ◽
Vol 62
(4)
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pp. 673-677
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2013 ◽
Vol 765-767
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pp. 667-669
2021 ◽
2019 ◽
Vol 35
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pp. 503-510
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