With the Lagrange multiplier method, the minimum distance of the center of a circle and a quadric surface was provided and the tangency condition of curve and surface was given.

The discrete equation set of the proposed method is due developed by means of the modified weak form functional in which the Lagrange Multiplier Method and jump function approach are used, respectively, to enforce the essential boundary conditions and.

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.

The dynamic equations were derived applying the Lagrangian multiplier method.

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.

Moreover,a weight optimization scheme for the multi-kernel was proposed by maximizing the Margin Maximization Criterion(MMC)based on the method of Lagrange multipliers.