### Multiplier method based on intermediate variables

LI Liang, SUN Qin

1. School of Aviation, Northwestern Polytechnic University, Xi’an 710072, China
• Online:2013-06-01 Published:2013-06-14

### 基于中间变量的乘子法

1. 西北工业大学 航空学院，西安 710072

Abstract: In order to use multiplier method to solve structural optimization problem more effectively, two kinds of intermediate variables, reciprocal variable and mixed variable, are introduced into multiplier method, and a new multiplier method based on intermediate variables is proposed. In the new method, the construction and solution of the unconstrained subproblem based on augmented Lagrange function, and the iteration and convergence of the arithmetic are all in line with intermediate variables. Only the value and gradient of objective function and constraint functions are achieved in line with original variables. Two simulation examples with high nonlinearity are adopted to test the new method, and the results show that the new method has good convergence and has faster convergence speed than common multiplier method.