The paper employs alternative Lagrange multiplier method to enforce the essential boundary condition,and the penalty function is employed again in order to improve the accuracy.

Optimization of integral flange by Lagrangian method.;

In the new method,the Lagrangian method with inequality restriction is used to assign the load between the monoblock so as to increase the feasibility a.

The dynamic equations were derived applying the Lagrangian multiplier method.

Based on the ratio of middle to outside law design idea,the application target programming method is used to establish a simplification model and improvement model based on the most superior design of can shape and the size,and the simplification model is solved by the Lagrange multiplicator law.

In this paper,adopting the radar cross section as the constraint condition,a new conical aerodynamic configuration is presented using the Lagrange multiplier method,and the minimization problems are solved by the dynamic evolution method.

With Lagrange multiplier,Dirichlet boundary conditions are imposed along the essential boundaries.

With the loan s yield as the earning of financial asset and the volatility of loan as a criteria to reflect the risk of loan, a decision making model of loan risk portfolio s optimization was established through the solution of the problem of quadric program using the Lagrange multiplier with minimum risk in the feasible range.