fodlder 发表于 2025-3-25 05:29:28
Convex Analysis and Subdifferential Calculus,ic (yet subtle) calculus rules, along with their remarkable consequences. Other important theoretical and practical tools, such as the Fenchel conjugate and the Lagrange multipliers, will also be studied. These are particularly useful for solving constrained problems.尖叫 发表于 2025-3-25 10:53:13
http://reply.papertrans.cn/24/2379/237846/237846_22.png摇曳 发表于 2025-3-25 15:23:58
http://reply.papertrans.cn/24/2379/237846/237846_23.png失眠症 发表于 2025-3-25 15:55:12
Problem-Solving Strategies,ures, and discuss some abstract tools for proving their convergence. Finally, we comment some ideas that are useful to simplify or reduce the problems, in order to make them tractable or more efficiently solved.Charitable 发表于 2025-3-25 21:54:20
Keynote Iterative Methods,oit particular features of the problems, such as the structure of the feasible (or constraint) set. The choice of proximal- or gradient-type schemes depends strongly on the regularity of the objective function..Throughout this chapter, H is a real Hilbert space.树木中 发表于 2025-3-26 02:22:47
2190-8354 , which may be useful for any researcher working on related fields, as well as teachers giving graduate-level courses on the topic. It will contain a thorough revision of the extant literature including both classical and state-of-the-art references.978-3-319-13709-4978-3-319-13710-0Series ISSN 2190-8354 Series E-ISSN 2191-575XInfant 发表于 2025-3-26 05:48:18
Basic Functional Analysis, that will be needed throughout this book. A first section is devoted to general normed spaces. We begin by establishing some of their main properties, with an emphasis on the linear functions between spaces. This leads us to bounded linear functionals and the topological dual. Second, we review theApogee 发表于 2025-3-26 12:01:32
http://reply.papertrans.cn/24/2379/237846/237846_28.pngArmada 发表于 2025-3-26 15:06:10
Convex Analysis and Subdifferential Calculus,ion of their minimizers, on the other. We shall explore sufficient conditions for a convex function to be continuous, as well as several connections between convexity and differentiability. Next, we present the notion of subgradient, a generalization of the concept of derivative for nondifferentiablRuptured-Disk 发表于 2025-3-26 18:19:28
Examples,n the other, to provide useful characterizations allowing to determine them. In this chapter, we present a short selection of problems to illustrate some of those tools. We begin by revisiting some results from functional analysis concerning the maximization of bounded linear functionals and the rea