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1 Extremum unter Nebenbedingungen
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Lagrange multipliers on Banach spaces — In the field of calculus of variations in mathematics, the method of Lagrange multipliers on Banach spaces can be used to solve certain infinite dimensional constrained optimization problems. The method is a generalization of the classical method … Wikipedia
Lagrange multiplier — Figure 1: Find x and y to maximize f(x,y) subject to a constraint (shown in red) g(x,y) = c … Wikipedia
Newton's method in optimization — A comparison of gradient descent (green) and Newton s method (red) for minimizing a function (with small step sizes). Newton s method uses curvature information to take a more direct route. In mathematics, Newton s method is an iterative method… … Wikipedia
Calculus of variations — is a field of mathematics that deals with extremizing functionals, as opposed to ordinary calculus which deals with functions. A functional is usually a mapping from a set of functions to the real numbers. Functionals are often formed as definite … Wikipedia
Knapsack problem — BKP redirects here. For other uses, see BKP (disambiguation). Example of a one dimensional (constraint) knapsack problem: which boxes should be chosen to maximize the amount of money while still keeping the overall weight under or equal to… … Wikipedia
Action (physics) — In physics, the action is a particular quantity in a physical system that can be used to describe its operation. Action is an alternative to differential equations. The action is not necessarily the same for different types of systems.The action… … Wikipedia
Hamilton's principle — In physics, Hamilton s principle is William Rowan Hamilton s formulation of the principle of stationary action (see that article for historical formulations). It states that the dynamics of a physical system is determined by a variational problem … Wikipedia