Newton method for solving a class of smooth convex programming

Yi Rong Yao; Lian Sheng Zhang; Bo Shun Han

doi:10.1007/BF03246256

Newton method for solving a class of smooth convex programming

Yi Rong Yao^*, Lian Sheng Zhang, Bo Shun Han

^*此作品的通讯作者

Shanghai University

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

An algorithm for solving a class of smooth convex programming is given. Using smooth exact multiplier penalty function, a smooth convex programming is minimized to a minimizing strongly convex function on the compact set was reduced. Then the strongly convex function with a Newton method on the given compact set was minimized.

源语言	英语
页（从-至）	1491-1498
页数	8
期刊	Applied Mathematics and Mechanics (English Edition)
卷	26
期	11
DOI	https://doi.org/10.1007/BF03246256
出版状态	已出版 - 11月 2005
已对外发布	是

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@article{d1c8e39531bb41ed8a1867f47a6032f5,

title = "Newton method for solving a class of smooth convex programming",

abstract = "An algorithm for solving a class of smooth convex programming is given. Using smooth exact multiplier penalty function, a smooth convex programming is minimized to a minimizing strongly convex function on the compact set was reduced. Then the strongly convex function with a Newton method on the given compact set was minimized.",

keywords = "Convex programming, KKT multiplier, Newton method",

author = "Yao, {Yi Rong} and Zhang, {Lian Sheng} and Han, {Bo Shun}",

year = "2005",

month = nov,

doi = "10.1007/BF03246256",

language = "English",

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journal = "Applied Mathematics and Mechanics (English Edition)",

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T1 - Newton method for solving a class of smooth convex programming

AU - Yao, Yi Rong

AU - Zhang, Lian Sheng

AU - Han, Bo Shun

PY - 2005/11

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N2 - An algorithm for solving a class of smooth convex programming is given. Using smooth exact multiplier penalty function, a smooth convex programming is minimized to a minimizing strongly convex function on the compact set was reduced. Then the strongly convex function with a Newton method on the given compact set was minimized.

AB - An algorithm for solving a class of smooth convex programming is given. Using smooth exact multiplier penalty function, a smooth convex programming is minimized to a minimizing strongly convex function on the compact set was reduced. Then the strongly convex function with a Newton method on the given compact set was minimized.

KW - Convex programming

KW - KKT multiplier

KW - Newton method

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U2 - 10.1007/BF03246256

DO - 10.1007/BF03246256

M3 - Article

AN - SCOPUS:30044433132

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JO - Applied Mathematics and Mechanics (English Edition)

JF - Applied Mathematics and Mechanics (English Edition)

IS - 11

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Newton method for solving a class of smooth convex programming

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