National Natural Science Foundation of China [11701577]; Natural Science Foundation of Hunan Province, China [2019JJ51002, 2020JJ5960]; Natural Science Foundation of Shaanxi Province, China [2022JQ006]
机构署名：
本校为其他机构
院系归属：
理学院
摘要：
A quasi-Newton method called the direct Broyden method is considered in this paper, which satisfies the least change principle and the direct tangent condition. The direct Broyden method can ensure that the quasi-Newton matrix equals the Jacobian matrix along step direction and accumulates more derivative information of the function. Moreover, we present an accelerated version of the new method and prove its global and superlinear convergence. Extensive numerical res...
