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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Yao, Y. R., Zhang, L. S., & Han, B. S. (2005). Newton method for solving a class of smooth convex programming. Applied Mathematics and Mechanics (English Edition), 26(11), 1491-1498. https://doi.org/10.1007/BF03246256

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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",

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AU - Han, Bo Shun

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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.

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KW - KKT multiplier

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M3 - Article

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Newton method for solving a class of smooth convex programming

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