BFGS formula(with or without line search) is an effective algorithm on numerical optimization.

A moving object tracking method was proposed based on BFGS quasi-Newton formula.

Based on this linear independence theory, a modified limited memory BFGS method is deve loped.

The paper analyses the problem on circular creep of thick - wall cylinder, and the recurrence formular of the nonlinear finite element method based on the BFGS method is given, Further more, adopting the ADINA program, the equivalent stress of the thick - wall cylinder is calculated out, which proves a better convergence and numerical stability of BFGS method than that of N - R method.

Application of BP network based on BFGS algorithm in BTP prediction;

BFGS algorithm is one of the most effective methods in solving the non-constrained optimization problems.

The advantages and disadvantages of BFGS algorithm and simulated annealing algorithm were studied and considering BFGS s good local searching ability and simulated annealing algorithm global searching ability,a mixed BFGS-SA algorithm was proposed in the paper.

According to a kind of modified BFGS method,a new algorithm of unconstrained optimization problems is given,combing with back tracking method and the condition with nonmonotone line search,and it is proved that this line search can make BFGS method with global convergence properties.

We then propose a BFGS method for solving this nonsmooth equation reformilation.

In this paper,a modified Gauss-Newton-based BFGS method based on the technique of Li and Fukushima is proposed.