5.2 Modeling with the exponential cone 利用指数锥扩展圆锥优化工具箱,可以获得新类型的约束构件和新类型的可表示集合。本节将列出指数锥的基本操作。 5.2.1 Exponential 上镜图(epigraph)t≥ex是Kexp的一个部分: 5.2.2 Logarithm 同样,我们也可以表示下镜图t≤logx,x≥0: ...
5 Exponential cone optimization¶So far we discussed optimization problems involving the major “polynomial” families of cones: linear, quadratic and power cones. In this chapter we introduce a single new object, namely the three-dimensional exponential cone, together with examples and applications....
Exponential-cone optimizationInterior-point methodsA new primal-dual interior-point algorithm applicable to nonsymmetric conic optimization is proposed. It is a generalization of the famous algorithm suggested by Nesterov and Todd for the symmetric conic case, and uses primal-dual scalings for ...
選擇「接受」將啟用追蹤技術,以支持「我們及合作夥伴處理資料以提供」部分所載的之目的;而選擇「全部拒絕」或撤銷同意將停用這些技術。如停用追蹤器,您看到的部分內容和廣告可能會與您不太相關。您可以隨時點擊網頁底部的「管理偏好設定」連結或在網頁底部左下方的浮動圖示(如適用),再次顯示選單,以更改您的選擇或...
摘要: The main results of the thesis are: 1) The construction of a compact base for the convex cone of all conditionally exponential convex functions. 2) The determination of the extreme parts of this cone. Some supplementary lemmas are proved for this purpose. (author). 8 refs...
Exponential nonnegativity on the ice cream cone Stern RJ, Wolkowicz H (1991a) Exponential nonnegativity on the ice cream cone. SIAM J Matrix Anal Appl 12:160–165Stern, R., Wolkowicz, H.: ... RJ Stern,H Wolkowicz - 《Siam Journal on Matrix Analysis & Applications》...
float DirectionalInscatteringExponent Controls the size of the directional inscattering cone, which is used to approximate inscattering from a directional light. FLinearColor DirectionalInscatteringLuminance Controls the color of the directional inscattering, which is used to approximate inscattering from ...
The Pick functions evidently form a convex cone—for instance, if 𝛼 and 𝛽 are positive numbers and 𝑓(𝑧) and 𝑔(𝑧) are two Pick functions, then the function 𝛼𝑓(𝑧)+𝛽𝑔(𝑧) is also a Pick function. A simple example is that tan(𝑧) is a Pick function. ...
RegisterLog in Sign up with one click: Facebook Twitter Google Share on Facebook waveform (redirected fromtruncated exponential waveform) Thesaurus Medical Encyclopedia wave·form (wāv′fôrm′) n. The mathematical representation of a wave, especially a graph obtained by plotting a characteristic of...
Robust exponential l2 l ∞ control for discrete-time switched system: A cone complement linearization method SUMMARY The robust exponential l2 l ∞ control problem is considered in this paper for discrete-time switched systems with both time-varying delay and nor... L Hou,G Zong,Y Wu - 《Opt...