Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/14493
Title: The smoothing function of the nonsmooth matrix valued function
Authors: ZHAO JINYE
Keywords: smoothing function convolution strong semismoothness
Issue Date: 25-Feb-2005
Source: ZHAO JINYE (2005-02-25). The smoothing function of the nonsmooth matrix valued function. ScholarBank@NUS Repository.
Abstract: The smoothing functions of nonsmooth matrix valued functions play an important role in the smoothing Newton method. In this thesis, we introduce a generalized smoothing function of the nonsmooth matrix valued function on the base of the smoothing function of the scalar valued function. we first study the properties of the smoothing function of the vector valued function defined via convolution. We discuss the directional differentiability, semismoothness and strong semismoothness of the smoothing function of the vector valued function. The smoothing function of the matrix valued function inherits the properties of the corresponding smoothing function of the scalar valued function.
URI: http://scholarbank.nus.edu.sg/handle/10635/14493
Appears in Collections:Master's Theses (Open)

Show full item record
Files in This Item:
File Description SizeFormatAccess SettingsVersion 
zjythesis.pdf240.77 kBAdobe PDF

OPEN

NoneView/Download

Page view(s)

181
checked on Dec 11, 2017

Download(s)

126
checked on Dec 11, 2017

Google ScholarTM

Check


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.