[1]陈希孺,吴月华.最小L_1模估计与线性规划的关系的一个问题[J].东南大学学报(自然科学版),1988,18(5):16-21.[doi:10.3969/j.issn.1001-0505.1988.05.003]
 Chert Xiru (China University of Science and Technology) Wu Yuehua (Department of Mathematics and Mechanics).A Problem about the Relationship between the Minimum L_1-Norm Estimate and Linear Programming[J].Journal of Southeast University (Natural Science Edition),1988,18(5):16-21.[doi:10.3969/j.issn.1001-0505.1988.05.003]
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最小L_1模估计与线性规划的关系的一个问题()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
18
期数:
1988年第5期
页码:
16-21
栏目:
本刊信息
出版日期:
1988-09-20

文章信息/Info

Title:
A Problem about the Relationship between the Minimum L_1-Norm Estimate and Linear Programming
作者:
陈希孺吴月华
中国科技大学数学系; 南京工学院数学力学系
Author(s):
Chert Xiru (China University of Science and Technology) Wu Yuehua (Department of Mathematics and Mechanics)
关键词:
对偶形式 等价 线性规划 线性回归 最小L1模估计 目标 约束
Keywords:
duality form equivalence linear programming linear regression. minimum L1—norm estimation object restriction
分类号:
+
DOI:
10.3969/j.issn.1001-0505.1988.05.003
摘要:
对任意有限制的有界解集的线性规划问题与从最小L_1模估计中推出的线性规划对偶形式等价性问题,虽然曾有多位作者进行过讨论,但却都未明确阐述证明中的关健步骤。本文则给出了一个严格的证明。
Abstract:
In this note a rigorous proof is given to the assertion that any definite linear programming problem with a bounded solution set is equivalent to the dual of a linear programming problem deduced from a Minimum L_1—Norm estimation problem. This assertion has been mentioned by several authors since late 1970’s, but a crucial point in the proof has never been clarified.

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 Wang Shengxiang,Zhou Jianhua.Crossed modules of Lie algebras[J].Journal of Southeast University (Natural Science Edition),2009,39(5):185.[doi:10.3969/j.issn.1001-0505.2009.01.036]

更新日期/Last Update: 2013-04-30