標題: Titlebook: Convex Analysis and Monotone Operator Theory in Hilbert Spaces; Heinz H. Bauschke,Patrick L. Combettes Book 2017Latest edition Springer In [打印本頁] 作者: ODE 時間: 2025-3-21 17:54
書目名稱Convex Analysis and Monotone Operator Theory in Hilbert Spaces影響因子(影響力)
書目名稱Convex Analysis and Monotone Operator Theory in Hilbert Spaces影響因子(影響力)學科排名
書目名稱Convex Analysis and Monotone Operator Theory in Hilbert Spaces網絡公開度
書目名稱Convex Analysis and Monotone Operator Theory in Hilbert Spaces網絡公開度學科排名
書目名稱Convex Analysis and Monotone Operator Theory in Hilbert Spaces被引頻次
書目名稱Convex Analysis and Monotone Operator Theory in Hilbert Spaces被引頻次學科排名
書目名稱Convex Analysis and Monotone Operator Theory in Hilbert Spaces年度引用
書目名稱Convex Analysis and Monotone Operator Theory in Hilbert Spaces年度引用學科排名
書目名稱Convex Analysis and Monotone Operator Theory in Hilbert Spaces讀者反饋
書目名稱Convex Analysis and Monotone Operator Theory in Hilbert Spaces讀者反饋學科排名
作者: 拾落穗 時間: 2025-3-21 21:02
1613-5237 hers in engineering, data science, machine learning, physics, decision sciences, economics, and inverse problems. The second edition of Convex Analysis and Monotone Operator Theory in Hilbert Spaces greatly exp978-3-319-83911-0978-3-319-48311-5Series ISSN 1613-5237 Series E-ISSN 2197-4152 作者: BOON 時間: 2025-3-22 04:08 作者: 搬運工 時間: 2025-3-22 06:32
Heinz H. Bauschke,Patrick L. CombettesTight interplay among the key notions of convexity, monotonicity, and nonexpansiveness.Accessible to a broad audience.Coverage of many applications of interest to practitioners in finite- and infinite作者: Immunoglobulin 時間: 2025-3-22 12:04
CMS Books in Mathematicshttp://image.papertrans.cn/c/image/237829.jpg作者: exhibit 時間: 2025-3-22 16:57
https://doi.org/10.1057/9781137508416This chapter reviews basic definitions, facts, and notation from topology and set-valued analysis that will be used throughout the book.作者: exhibit 時間: 2025-3-22 19:58 作者: 地牢 時間: 2025-3-22 22:30
Critical Criminological PerspectivesIn this chapter, we develop basic results concerning support points, including the Bishop–Phelps theorem and the representation of a nonempty closed convex set as the intersection of the closed half-spaces containing it. Polar sets are also studied.作者: Expurgate 時間: 2025-3-23 01:39
Exploratory and Drift VandalismConvex functions, which lie at the heart of modern optimization, are introduced in this chapter. We study operations that preserve convexity and the interplay between various continuity properties.作者: Iniquitous 時間: 2025-3-23 05:51 作者: ligature 時間: 2025-3-23 10:30
Vandalism and Anti-Social BehaviourIn this chapter we present variants of the notion of convexity for functions. The most important are the weaker notion of quasiconvexity and the stronger notions of uniform and strong convexity.作者: Decrepit 時間: 2025-3-23 14:40 作者: Coma704 時間: 2025-3-23 21:12
https://doi.org/10.1057/9781137519269This chapter is devoted to a fundamental convexity-preserving operation for functions: the infimal convolution..Special attention is given to the Moreau envelope and the proximity operator.作者: 思考而得 時間: 2025-3-24 01:18
Virtual Worlds as Philosophical ToolsOf central importance in convex analysis are conditions guaranteeing that the conjugate of a sum is the infimal convolution of the conjugates. The main result in this direction is a theorem due to Attouch and Brézis. In turn, it gives rise to the Fenchel–Rockafellar duality framework for convex optimization problems.作者: 衰弱的心 時間: 2025-3-24 02:59 作者: Jargon 時間: 2025-3-24 10:18 作者: 單色 時間: 2025-3-24 14:12 作者: 即席 時間: 2025-3-24 17:21
Support Functions and Polar Sets,In this chapter, we develop basic results concerning support points, including the Bishop–Phelps theorem and the representation of a nonempty closed convex set as the intersection of the closed half-spaces containing it. Polar sets are also studied.作者: 使入迷 時間: 2025-3-24 20:27
Convex Functions,Convex functions, which lie at the heart of modern optimization, are introduced in this chapter. We study operations that preserve convexity and the interplay between various continuity properties.作者: 有節(jié)制 時間: 2025-3-25 03:07 作者: insular 時間: 2025-3-25 04:01 作者: 多產魚 時間: 2025-3-25 08:11 作者: frivolous 時間: 2025-3-25 12:19 作者: Feedback 時間: 2025-3-25 18:44
,Fenchel–Rockafellar Duality,Of central importance in convex analysis are conditions guaranteeing that the conjugate of a sum is the infimal convolution of the conjugates. The main result in this direction is a theorem due to Attouch and Brézis. In turn, it gives rise to the Fenchel–Rockafellar duality framework for convex optimization problems.作者: 剝削 時間: 2025-3-25 21:58 作者: 慢慢沖刷 時間: 2025-3-26 02:59
Convex Analysis and Monotone Operator Theory in Hilbert Spaces978-3-319-48311-5Series ISSN 1613-5237 Series E-ISSN 2197-4152 作者: MIRTH 時間: 2025-3-26 05:23
https://doi.org/10.1057/9781137508416asserts that every nonempty closed convex subset . of . is a Chebyshev set, i.e., that every point in . possesses a unique best approximation from ., and which provides a characterization of this best approximation.作者: collateral 時間: 2025-3-26 08:47
https://doi.org/10.1057/9781137508416lems in nonlinear analysis reduce to finding fixed points of nonexpansive operators. In this chapter, we discuss nonexpansiveness and several variants. The properties of the fixed point sets of nonexpansive operators are investigated, in particular in terms of convexity.作者: 偽書 時間: 2025-3-26 15:50
https://doi.org/10.1057/9781137508416quences possess attractive properties that simplify the analysis of their asymptotic behavior. In this chapter, we provide the basic theory for Fejér monotone sequences and apply it to obtain in a systematic fashion convergence results for various classical iterations involving (quasi)nonexpansive operators.作者: sinoatrial-node 時間: 2025-3-26 19:23 作者: Confess 時間: 2025-3-26 22:06 作者: 誘惑 時間: 2025-3-27 04:48
https://doi.org/10.1007/978-3-319-48311-5Convex analysis; monotone operator; nonexpansive operator; proximal algorithm; fixed point algorithm; ope作者: 清唱劇 時間: 2025-3-27 08:12 作者: grudging 時間: 2025-3-27 12:39 作者: 不能逃避 時間: 2025-3-27 15:56 作者: Communal 時間: 2025-3-27 19:29 作者: CHANT 時間: 2025-3-28 00:15
https://doi.org/10.1057/9781137508416y fruitful in many branches of nonlinear analysis. For instance, closed convex cones provide decompositions analogous to the well-known orthogonal decomposition based on closed linear subspaces. They also arise naturally in convex analysis in the local study of a convex set via the tangent cone and 作者: gait-cycle 時間: 2025-3-28 05:32
https://doi.org/10.1057/9781137519269ysis, the most suitable notion of a transform is the Legendre transform, which maps a function to its Fenchel conjugate. This transform is studied in detail in this chapter. In particular, it is shown that the conjugate of an infimal convolution is the sum of the conjugates. The key result of this c作者: endocardium 時間: 2025-3-28 08:45 作者: Defense 時間: 2025-3-28 14:29 作者: anus928 時間: 2025-3-28 14:37
Introduction: Video Games and Storytelling related to each other. In this chapter, we provide fundamental results on these relationships, as well as basic results on the steepest descent direction, the Chebyshev center, and the max formula that relates the directional derivative to the support function of the subdifferential at a given poin作者: 笨拙處理 時間: 2025-3-28 21:23
https://doi.org/10.1057/9781137525055is chapter, we study the interplay between primal and dual problems in the context of Fenchel–Rockafellar duality and, more generally, for bivariate functions. The latter approach leads naturally to saddle points and Lagrangians. Special attention is given to minimization under equality constraints 作者: 具體 時間: 2025-3-28 23:22
Convex Sets,asserts that every nonempty closed convex subset . of . is a Chebyshev set, i.e., that every point in . possesses a unique best approximation from ., and which provides a characterization of this best approximation.作者: CRACK 時間: 2025-3-29 04:32 作者: 項目 時間: 2025-3-29 10:46
,Fejér Monotonicity and Fixed Point Iterations,quences possess attractive properties that simplify the analysis of their asymptotic behavior. In this chapter, we provide the basic theory for Fejér monotone sequences and apply it to obtain in a systematic fashion convergence results for various classical iterations involving (quasi)nonexpansive operators.作者: 險代理人 時間: 2025-3-29 13:23 作者: 大吃大喝 時間: 2025-3-29 17:07 作者: acrophobia 時間: 2025-3-29 20:50
Convex Cones and Generalized Interiors,omposition based on closed linear subspaces. They also arise naturally in convex analysis in the local study of a convex set via the tangent cone and the normal cone operators, and they are central in the analysis of various extensions of the notion of an interior that will be required in later chapters.作者: 最小 時間: 2025-3-30 00:04
Conjugation,detail in this chapter. In particular, it is shown that the conjugate of an infimal convolution is the sum of the conjugates. The key result of this chapter is the Fenchel–Moreau theorem, which states that the proper convex lower semicontinuous functions are precisely those functions that coincide with their biconjugates.作者: 伙伴 時間: 2025-3-30 07:18 作者: Mingle 時間: 2025-3-30 10:58
Virtual Worlds as Philosophical Tools positively homogeneous functions are also presented. Also discussed are the Moreau–Rockafellar theorem, which characterizes coercivity in terms of an interiority condition, and the Toland–Singer theorem, which provides an appealing formula for the conjugate of a difference.作者: 彎曲的人 時間: 2025-3-30 14:42 作者: concise 時間: 2025-3-30 17:10 作者: 谷類 時間: 2025-3-31 00:00
https://doi.org/10.1057/9781137508416omposition based on closed linear subspaces. They also arise naturally in convex analysis in the local study of a convex set via the tangent cone and the normal cone operators, and they are central in the analysis of various extensions of the notion of an interior that will be required in later chapters.作者: AND 時間: 2025-3-31 03:34
https://doi.org/10.1057/9781137519269detail in this chapter. In particular, it is shown that the conjugate of an infimal convolution is the sum of the conjugates. The key result of this chapter is the Fenchel–Moreau theorem, which states that the proper convex lower semicontinuous functions are precisely those functions that coincide with their biconjugates.作者: Classify 時間: 2025-3-31 06:01 作者: 柔美流暢 時間: 2025-3-31 11:00 作者: 積極詞匯 時間: 2025-3-31 16:35
Convex Sets,asserts that every nonempty closed convex subset . of . is a Chebyshev set, i.e., that every point in . possesses a unique best approximation from ., and which provides a characterization of this best approximation.作者: gerontocracy 時間: 2025-3-31 20:43 作者: Anecdote 時間: 2025-3-31 23:55 作者: 案發(fā)地點 時間: 2025-4-1 05:17
Convex Cones and Generalized Interiors,y fruitful in many branches of nonlinear analysis. For instance, closed convex cones provide decompositions analogous to the well-known orthogonal decomposition based on closed linear subspaces. They also arise naturally in convex analysis in the local study of a convex set via the tangent cone and
