lagrange function การใช้

• Incomplete lagrange function and optimality in nonlinear programming
• Approximation of lagrange function
• Incomplete lagrange function and saddle point optimality criteria for a class of nondifferentiable generalized fractional programming
• Based on the computed steering angles this paper builds lunar rover ’ s mathematic model using lagrange function
• Wenxue li put forward a sufficient condition of conditional extreme value with lagrange function , but his proof is wrong
• Firstly , the first kind of lagrange function is used to obtain the dynamics model of the space robot , which final expressions are hybrid differential - algebraic equation
• This text derives out the sufficient condition again no using lagrange function , but direct eliminating a variable from the side condition to transform conditional extreme value into the unconditional extreme value
• It is proven that these modified dual algorithms still have the same convergence results as those of the conceptional dual algorithms in chapter 2 and chapter 3 . secondly , a dual algorithm is constructed for general constrained nonlinear programming problems and the local convergence theorem is established accordingly . the condition number of modified lagrange function ' s hessian is estimated , which also depends on the penalty parameter
• In this thesis , by means of the lagrange function , the finite element dynamic equations of the beam element are deduced . then all the element dynamic equations are assembled into the system dynamic equation through using the kineto - elastodynamics theory . the dissipation force derived from joint damping is applied as excitation force of the linkage system
• The solution methods of support vector machine , including quadratic programming method , chunking method , decomposing method , sequential minimization optimization method , iterative solution method named lagrange support vector machine based on lagrange function and newton method based on the smoothing technique , are studied systematically
• In this paper , by means of the euler systems on the symplectic manifold , the bargmann system and the neumann system for the 4f / lorder eigenvalue problems : are gained . then the lax pairs for them are nonlinearized respectively under the bargmann constraint and the neumann constraint . by means of this and based on the euler - lagrange function and legendre transformations , the reasonable jacobi - ostrogradsky coordinate systems are found , which can also be realized
• Chapter 2 establishes the theoretical framework of a class of dual algorithms for solving nonlinear optimization problems with inequality constraints . we prove , under some mild assumptions , the local convergence theorem for this class of dual algorithms and present the error bound for approximate solutions . the modified barrier function methods of polyak ( 1992 ) and the augmented lagrange function method of bertsekas ( 1982 ) are verified to be the special cases of the class of dual algorithms