希尔伯特空间中的凸分析与单调算子理论
Convex Analysis and Monotone Operator Theory in Hilbert Spaces
Heinz H. Bauschke · 初版 2011 年
2人推荐
2位读者提及
2次提及
本书在希尔伯特空间（Hilbert spaces）的背景下，相对自成体系地阐述了凸分析、单调算子理论以及非扩张算子理论的主要成果。与现有文献不同，本书的独创之处及其核心主线，在于凸性、单调性与非扩张性等核心概念之间的紧密相互作用。其论述深入浅出，适合广泛读者阅读，并尤其致力于面向应用科学与工程学界，在这些领域中上述数学工具已变得不可或缺。研究生以及科研人员……
Hacker News 上怎么说
正在加载完整评论……
…（1982），但打下了扎实的基础 - S. Boyd 和 L. Vandenberghe 的《Convex Optimization》：学习凸优化的标准教材（作者网站上还提供免费 PDF）- H. H. Bauschke 和 P. L. Combettes 的《Convex Analysis and Monotone Operator Theory in Hilbert Spaces》：涵盖了数值优化中一个更细分的领域，但符号体系很优美（个人拙见），而且对于近期的算子研究等是个很有用的参考文献…
…(1982), but provides a solid foundation - "Convex Optimization" by S. Boyd and L. Vandenberghe: the standard for learning convex optimization (also available as a free PDF from the author's website) - "Convex Analysis and Monotone Operator Theory in Hilbert Spaces" by H. H. Bauschke and P. L. Combettes: covers a more specialized area of numerical optimization, but the notation is beautiful (IMO) and it acts as a useful reference for recent research on, e.g., operator…
…为一门课程做讲座。[0] https://web.stanford.edu/~boyd/cvxbook/bv_cvxbook.pdf 《Convex Optimization》，Boyd 和 Vandenberghe 著 [1] 《An Introduction to Multivariate Statistical Analysis》，Anderson 著 [2] 《Convex Analysis and Monotone Operator Theory in Hilbert Spaces》，Bauschke-Combettes 著 [3] 《Theory of Multivariate Statistics》，Bilodeau-Brenner 著 [4] 《The Elements of Integration and Lebesgue Measure》，Bartle 著 [5] 《Probability: Theory and Examples》，Durrett 著
…give a lecture for a course. [0] https://web.stanford.edu/~boyd/cvxbook/bv_cvxbook.pdf Convex Optimization, Boyd and Vandenberghe [1] An Introduction to Multivariate Statistical Analysis, Anderson [2] Convex Analysis and Monotone Operator Theory in Hilbert Spaces, Bauschke-Combettes [3] Theory of Multivariate Statistics, Bilodeau-Brenner [4] The Elements of Integration and Lebesgue Measure, Bartle [5] Probability: Theory and Examples, Durrett