小巷 发表于 2025-3-21 19:18:34

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不能和解 发表于 2025-3-21 23:58:01

G. Darai,M. Handermann,E. Hinz,H.-G. SonntagIn this chapter we give an overview of a variety of facts concerning optimality of a point relative to a neighborhood of it, in terms of ‘local’ objects such as derivatives. We first introduce the different notions of derivatives and beginning with some familiar conditions for optimality from calculus, build up various generalizations thereof.

orthodox 发表于 2025-3-22 00:25:39

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Saline 发表于 2025-3-22 04:43:56

https://doi.org/10.1007/978-3-642-15126-2This chapter is devoted to convex functions, the rock star of optimization theory. In this section, we recall their key properties that matter for convex optimization.

Silent-Ischemia 发表于 2025-3-22 10:16:12

https://doi.org/10.1007/978-3-540-72550-3Convex optimization or convex programming refers to the problem of minimizing convex functions over convex sets. Observe that we have been careful to say only minimization. Maximization of convex functions is a different kettle of fish; altogether, these problems can be extremely hard.

尖酸一点 发表于 2025-3-22 16:54:19

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尖酸一点 发表于 2025-3-22 17:36:53

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婚姻生活 发表于 2025-3-22 23:08:51

,Continuity and Existence of Optima,Optimization theory in finite dimensional spaces may be viewed as ‘applied real analysis’, since it depends on the analytic tools of the latter discipline for most of its foundations.

Adrenal-Glands 发表于 2025-3-23 04:29:17

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使出神 发表于 2025-3-23 06:53:27

Convex Sets,Recall that a convex set . is a set such that any line segment joining two distinct points in . lies entirely in ., i.e., . implies ..
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查看完整版本: Titlebook: Elementary Convexity with Optimization; Vivek S. Borkar,K. S. Mallikarjuna Rao Textbook 2023 Hindustan Book Agency 2023 optimization.condi