大小 发表于 2025-3-21 17:46:07
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Piecewise , Extremal Functions should exhibit “corners,” and it is natural to wonder whether cornered curves . and . such as those shown in Figure 7.1 might not give improved results for other problems. Such curves are represented readily by functions which are ., or ..Agnosia 发表于 2025-3-22 03:58:37
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Sufficient Conditions for a Minimumve also seen in §7.6 that a minimizing function . must necessarily satisfy the Weierstrass condition ℰ(. .(.),.(.) ≥ 0, ∀ . ∈ ℝ., . ∈ [.], where ℰ(.). .(.) - .(.)- .(.)⋅(.),(1)and this is recognized as a convexity statement for .(. . .) along a trajectory in ℝ. defined by ..incarcerate 发表于 2025-3-22 17:51:02
Necessary Conditions for Optimalitythe adjoint equation (a necessary condition) can be used to suggest sufficient conditions for optimality. Finally, in §11.3, we extend our control-theory approach to more general problems involving Lagrangian inequality constraints, and in Theorem 11.20 we obtain a Lagrangian multiplier rule of the Kuhn-Tucker type.青少年 发表于 2025-3-22 23:11:16
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Standard Optimization Problemshen “best” can be assessed numerically, then this assessment may be regarded as a real valued function of the method under consideration which is to be optimized—either maximized or minimized. We are interested not only in the optimum values which can be achieved, but also in the method (or methods)Compatriot 发表于 2025-3-23 08:41:12
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