Operations Research Transactions ›› 2014, Vol. 18 ›› Issue (1): 69-92.

• Original Articles • Previous Articles     Next Articles

Advances in linear and nonlinear programming

DAI Yuhong1,*, LIU Xinwei2   

  1. 1. Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China; 2. Faculty of Science, Hebei University of Technology, Tianjin 300401, China
  • Online:2014-03-15 Published:2014-03-15

Abstract: Linear and nonlinear programming is a classical branch in mathematical programming. We introduce some backgrounds on linear and nonlinear programming, and some new methods and new research advances in linear programming, unconstrained and constrained optimization. The alternating direction method of multipliers is very efficient in solving some constrained optimization problems with special structure and has been attracted much attentions in recent years. Global optimization is specially important for applications of optimization. These two topics are also involved.

Key words: linear programming, nonlinear programming, unconstrained optimization, constrained optimization, alternating direction method of multipliers, global optimization

CLC Number: