Please use this identifier to cite or link to this item: https://scholarbank.nus.edu.sg/handle/10635/14510
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dc.titleSmooth convex approximation and its applications
dc.contributor.authorSHI SHENGYUAN
dc.date.accessioned2010-04-08T10:43:54Z
dc.date.available2010-04-08T10:43:54Z
dc.date.issued2005-01-31
dc.identifier.citationSHI SHENGYUAN (2005-01-31). Smooth convex approximation and its applications. ScholarBank@NUS Repository.
dc.identifier.urihttps://scholarbank.nus.edu.sg/handle/10635/14510
dc.description.abstractIn 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.
dc.language.isoen
dc.subjectconvex optimization, non-smooth optimization, semismooth function, sum of eigenvalues
dc.typeThesis
dc.contributor.departmentMATHEMATICS
dc.contributor.supervisorSUN DEFENG
dc.description.degreeMaster's
dc.description.degreeconferredMASTER OF SCIENCE
dc.identifier.isiutNOT_IN_WOS
Appears in Collections:Master's Theses (Open)

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