seroma
发表于 2025-3-28 16:39:57
Duality Theory,development of computational algorithms. In particular, after a short discussion on the general motivation of duality, we give some basic result on . and, under appropriate assumptions, we obtain new interpretations of the KKT multipliers. We also present the Wolfe’s duality theory, which is at the
Dawdle
发表于 2025-3-28 22:41:32
Optimality Conditions Based on Theorems of the Alternative,based on ., i.e., theorems stating that exactly one of two systems has solution. These latter are reported in the appendix where, in particular, optimality conditions for linear programming are proved using only an algebraic approach. We first consider problems with only inequality constraints and w
lesion
发表于 2025-3-28 23:26:41
Line Search Methods,rict our attention to .. . extensions will be considered in Chap. .. Here, after a short introduction, we first analyze methods employing derivatives of the objective function and then we describe some derivative-free extensions.
智力高
发表于 2025-3-29 03:36:49
Gradient Method,titutes the prototype of a globally convergent algorithm. In particular, here we consider the standard monotone version, also known as ., based on line searches, and a version with .. We prove global convergence and we report some estimates of the convergence rate. We show also that finite convergen
夜晚
发表于 2025-3-29 11:14:40
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affluent
发表于 2025-3-29 12:14:50
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眼界
发表于 2025-3-29 17:35:20
Trust Region Methods, by minimizing a (possibly nonconvex) quadratic model of the objective function over a suitable neighborhood of the current point. Global convergence results are reported and methods for the solution of the constrained quadratic subproblem are described. We present a globalization strategy for Newto
burnish
发表于 2025-3-29 20:19:39
Methods for Nonlinear Equations, on the use of optimization techniques. In particular, we describe globalization algorithms that take into account the structure of the problem. Non monotone globalization techniques will be defined later.
innovation
发表于 2025-3-30 01:49:49
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accomplishment
发表于 2025-3-30 06:16:43
Derivative-Free Methods for Unconstrained Optimization,e consider unconstrained minimization problems and we describe some of the best known derivative-free methods. Then we study a class of globally convergent methods based on the inexact derivative-free linesearch techniques already introduced in Chap. .. Finally, we describe some techniques employing