由于被迫长成一个二次函数的样子，于是很多算法在μ-strongly convex + L-Lipschiz下都有比较好的表现。
3. 非强凸Convex 上面我们利用强凸公式替换后面的 \|\bigtriangledown f(x_k)\| ,这里不能用强凸公式,我们仍旧利用lower bound来替换前面半部分。 \begin{aligned} f(x_{k+1}) - f(x^*) &\leq f(x_k)- f(x^*) - \frac{1}{2L} \|\bigtriangledown f(x_k) \|^2 & L-smooth \\ ...
在第一部分, 設D是n維歐氏複空間(n>1)中具平滑邊界之有界擬凸域(bounded pseudoconvex domain).我們首先證明,若邊界上之 "無窮型"(point of infi... 張世標,ShihBiau Jang - 《理學院 - College of》 被引量: 0发表: 1998年 Commutators of Weighted Lipschitz Functions and Multilinear Singular Integrals...
Motzkin decomposition of closed convex sets Theodore Motzkin proved, in 1936, that any polyhedral convex set can be expressed as the (Minkowski) sum of a polytope and a polyhedral convex cone. This p... A M.,Goberna,and,... - 《Journal of Mathematical Analysis & Applications》 被引量: ...
’瘫二亩分Ban目￡h空间可光滑地重新赋范,即存在一个等价的光滑范数. “光滑”的对偶性质是严格凸(stricUy convex):任何不恒为零的连续线性泛函在闭单位球上至多在一个点上取得最大值,或等价地,闭单位球上不同的边界点有不同的支撑超平面.对线性赋范空间万,如果对偶空间X’是光滑的(分别地,严格凸),则X...
In this paper we obtain new characterizations of the uniformly convex and smooth Banach spaces. These characterizations are established by using Lp-boundedness properties of Littlewood-Paley functions and area integrals associated with heat semigroups and involving fractional derivatives. Our results apply...
All continuous SL(n)-covariant $L_p$-Minkowski valuations defined on convex bodies are completely classified. The $L_p$-moment body operators turn out to b... P Lukas - 《Journal of the London Mathematical Society》 被引量: 105发表: 0年 ...
We introduce a class of adaptive non-smooth convex variational problems for image denoising in terms of a common data fitting term and a support functional... Frank,Lenzen,Florian,... - 《Computational Optimization & Applications》 被引量: 39发表: 2013年 An alternating direction method for total...
They are, namely, greedy algorithms, iterative algorithms, and convex program. The former two algorithms are easy to be implemented but not stable; on the other hand, the last method is stable but difficult to be implemented as practical channel estimation problems be-cause of computational ...
infinite uniformly normed operators convex TYPE SPACES Hausdorff bedded dense DOI: 10.1016/S0252-9602(18)30327-8 年份: 1989 收藏 引用 批量引用 报错 分享 全部来源 求助全文 全文购买 Elsevier 维普期刊专业版 知网 知网 维普网 查看更多 相似文献...