Hybrid Proximal Gradient Algorithm and Convergence Theorem for The Split DC Program in Finite Dimensional Real Hilbert Space

碩士 === 國立嘉義大學 === 應用數學系研究所 === 106 === In this paper, we consider the split DC program (split minimization problems for DC functions): (SDCP) Find x 2 H1 such that x 2 arg min x2H1 f1(x) and Ax 2 arg min y2H2 f2(y); where H1 and H2 are real Hilbert spaces, A : H1 ! H2 is a linear and bounded mapping...

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Main Author:	楊佩蓉
Other Authors:	莊智升
Format:	Others
Language:	en_US
Published:	2018
Online Access:	http://ndltd.ncl.edu.tw/handle/xu8ee7

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spelling	ndltd-TW-106NCYU55070032019-09-05T03:29:23Z http://ndltd.ncl.edu.tw/handle/xu8ee7 Hybrid Proximal Gradient Algorithm and Convergence Theorem for The Split DC Program in Finite Dimensional Real Hilbert Space SDCP問題的混合型梯度算法及其收斂定理楊佩蓉碩士國立嘉義大學應用數學系研究所 106 In this paper, we consider the split DC program (split minimization problems for DC functions): (SDCP) Find x 2 H1 such that x 2 arg min x2H1 f1(x) and Ax 2 arg min y2H2 f2(y); where H1 and H2 are real Hilbert spaces, A : H1 ! H2 is a linear and bounded mapping with adjoint A, f1 = g1 莊智升 2018 學位論文 ; thesis 29 en_US
collection	NDLTD
language	en_US
format	Others
sources	NDLTD
description	碩士 === 國立嘉義大學 === 應用數學系研究所 === 106 === In this paper, we consider the split DC program (split minimization problems for DC functions): (SDCP) Find x 2 H1 such that x 2 arg min x2H1 f1(x) and Ax 2 arg min y2H2 f2(y); where H1 and H2 are real Hilbert spaces, A : H1 ! H2 is a linear and bounded mapping with adjoint A, f1 = g1
author2	莊智升
author_facet	莊智升楊佩蓉
author	楊佩蓉
spellingShingle	楊佩蓉 Hybrid Proximal Gradient Algorithm and Convergence Theorem for The Split DC Program in Finite Dimensional Real Hilbert Space
author_sort	楊佩蓉
title	Hybrid Proximal Gradient Algorithm and Convergence Theorem for The Split DC Program in Finite Dimensional Real Hilbert Space
title_short	Hybrid Proximal Gradient Algorithm and Convergence Theorem for The Split DC Program in Finite Dimensional Real Hilbert Space
title_full	Hybrid Proximal Gradient Algorithm and Convergence Theorem for The Split DC Program in Finite Dimensional Real Hilbert Space
title_fullStr	Hybrid Proximal Gradient Algorithm and Convergence Theorem for The Split DC Program in Finite Dimensional Real Hilbert Space
title_full_unstemmed	Hybrid Proximal Gradient Algorithm and Convergence Theorem for The Split DC Program in Finite Dimensional Real Hilbert Space
title_sort	hybrid proximal gradient algorithm and convergence theorem for the split dc program in finite dimensional real hilbert space
publishDate	2018
url	http://ndltd.ncl.edu.tw/handle/xu8ee7
work_keys_str_mv	AT yángpèiróng hybridproximalgradientalgorithmandconvergencetheoremforthesplitdcprograminfinitedimensionalrealhilbertspace AT yángpèiróng sdcpwèntídehùnhéxíngtīdùsuànfǎjíqíshōuliǎndìnglǐ
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Hybrid Proximal Gradient Algorithm and Convergence Theorem for The Split DC Program in Finite Dimensional Real Hilbert Space

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