UTTER 发表于 2025-3-23 13:33:56
Nondifferentiable Optimization and Polynomial Problems978-1-4757-6015-6Series ISSN 1571-568XNIP 发表于 2025-3-23 15:13:40
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https://doi.org/10.1007/978-1-4757-6015-6Mathematica; algebra; algorithms; calculus; complexity; graph theory; optimization; programming; combinatori大猩猩 发表于 2025-3-23 23:23:25
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Elements of Information and Numerical Complexity of Polynomial Extremal Problems,ources studying an arbitrary algorithm that solves the given problem. But to get an answer for the question of how good a particular algorithm is we must find the lower bounds for computational resources, the limits that cannot be improved by the “best” algorithm among the potentially possible ones.Amorous 发表于 2025-3-24 14:33:46
Book 1998 with nonnegative entries {a;}f=l. n Denote by R(:e) monomial in n variables of the form: n R(:e) = IT :ef‘; ;=1 d(a) = 2:7=1 ai is the total degree of monomial R. Each polynomial in n variables can be written as sum of monomials with nonzero coefficients: P(:e) = L caR(:e), aEA{P) IX xHalfhearted 发表于 2025-3-24 15:44:07
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1571-568X e is that an objective function and constraints can be expressed by polynomial functions in one or several variables. Let :e = {:e 1, ... , :en} be the vector in n-dimensional real linear space Rn; n PO(:e), PI (:e), ... , Pm (:e) are polynomial functions in R with real coefficients. In general, a P