Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/14510
Title: Smooth convex approximation and its applications
Authors: SHI SHENGYUAN
Keywords: convex optimization, non-smooth optimization, semismooth function, sum of eigenvalues
Issue Date: 31-Jan-2005
Source: SHI SHENGYUAN (2005-01-31). Smooth convex approximation and its applications. ScholarBank@NUS Repository.
Abstract: In this thesis, we consider a smooth convex approximation to the sum of the $\kappa$ largest components. To make it applicable to a wide class of applications, the study is conducted on some minmax problems. Based on a special smoothing technique, we give an efficient scheme for nonsmooth convex function. By using the composite property of $g_{\kappa}(\varepsilon; \cdot)$ and eigenvalue function $\Lambda(X)$, we find the smooth approximate function to the sum of the $\kappa$ largest eigenvalue function.
URI: http://scholarbank.nus.edu.sg/handle/10635/14510
Appears in Collections:Master's Theses (Open)

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