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一个新的单纯形类算法
引用本文:李炜.一个新的单纯形类算法[J].数学理论与应用,2003,23(3):118-122.
作者姓名:李炜
作者单位:东南大学数学系,南京,20096
摘    要:提出了一个求解线性规划的新单纯形类算法。它不仅无须引入人工变量,而且在第一阶段中采用无比检验。因此新算法比Arsham最近提出的push-to—pull算法效率更高。此外,本算法的数值稳定性也优于push—to—pull算法。

关 键 词:单纯形算法  线性规划  push-to—pull算法  数值稳定性  无比检验  人工变量

A New Simplex-like Algorithm for Liner Programming
Li Wei.A New Simplex-like Algorithm for Liner Programming[J].Mathematical Theory and Applications,2003,23(3):118-122.
Authors:Li Wei
Abstract:In this paper,we introduce a new simplex-like algorithm for linear progranming.It is not only artificial-free,but also ratio-test-free in the first phase.Thus ,it needs fewer computation time per iteration than push-to-pull method proposed recently by Arshan.Furthermore,the new algorithm possesses better numerical stability.Computational experiments are reported,which are very encouraging though still preliminary.
Keywords:linear programming  simplex method  push-to-pull method  
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