论文部分内容阅读
Quasi-Newton (QN) equation plays a core role in contemporary nonlinear optimization. The traditional QN equation employs only the gradients, but ignores thefunction value information, which seems unreasonable. In this paper, we consider a classof DFP method with new QN equations which use both gradient and function value infor-mation and ask very little additional computation. We give the condition of convergenceand superlinear convergence for these methods. We also prove that under some line searchconditions the DFP method with new QN equations is convergent and superlinearly con-vergent.