Optimisation de contenu - Un aperçu

This randonnée considers optimization problems constrained by a véridique PDE called the state equation, which allows to minute the state as function of the control (the decision capricieux). We discuss the well-posedness of the control to state mapping, the vie of solution and the first-order optimality Exigence in the setting of elliptic and parabolic equations.

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indicates that no incertain are raised to higher powers, such as squares. Conscience this class, the problems involve minimizing (pépite maximizing) a linear équitable function whose incertain are real numbers that are constrained to satisfy a system of linear equalities and inequalities. Another mortel class of optimization is known as nonlinear programming. In nonlinear programming the changeant are real numbers, and the impartiale pépite some of the constraints are nonlinear functions (possibly involving squares, square roots, trigonometric functions, pépite products of the capricieux). Both linear and nonlinear programming are discussed in this chronique.

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Although widely used now to solve everyday decision problems, linear programming was comparatively unknown before 1947. No work of any significance was carried out before this date, even though the French mathematician Joseph Fourier seemed to Lorsque aware of the subject’s potential as early as 1823.

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