In this paper, a Gauss-Newton-based Broyden’s class method for parameters of regression problems is presented. The global convergence of this given method will be established under suitable conditions. Numerical resu...In this paper, a Gauss-Newton-based Broyden’s class method for parameters of regression problems is presented. The global convergence of this given method will be established under suitable conditions. Numerical results show that the proposed method is interesting.展开更多
Abstract In this paper, the Broyden class of quasi-Newton methods for unconstrained optimization is investigated. Non-monotone linesearch procedure is introduced, which is combined with the Broyden's class. Under ...Abstract In this paper, the Broyden class of quasi-Newton methods for unconstrained optimization is investigated. Non-monotone linesearch procedure is introduced, which is combined with the Broyden's class. Under the convexity assumption on objective function, the global convergence of the Broyden's class is proved.展开更多
Generalized Broyden’s class methods Presented by this paper is a new class Newton-like method. The global and superlinear convergence Of the method with inexact and exact line search are proved, when applied to a uni...Generalized Broyden’s class methods Presented by this paper is a new class Newton-like method. The global and superlinear convergence Of the method with inexact and exact line search are proved, when applied to a uniformly convex objection function.展开更多
文摘In this paper, a Gauss-Newton-based Broyden’s class method for parameters of regression problems is presented. The global convergence of this given method will be established under suitable conditions. Numerical results show that the proposed method is interesting.
基金Partly supported by the National Natural Sciences Foundation of China (No. 19731001)National 973 Information Technology and High-Performance Software Program of China (No.G1998030401)K.C.Wong Education Foundation, Hong Kong.
文摘Abstract In this paper, the Broyden class of quasi-Newton methods for unconstrained optimization is investigated. Non-monotone linesearch procedure is introduced, which is combined with the Broyden's class. Under the convexity assumption on objective function, the global convergence of the Broyden's class is proved.
文摘Generalized Broyden’s class methods Presented by this paper is a new class Newton-like method. The global and superlinear convergence Of the method with inexact and exact line search are proved, when applied to a uniformly convex objection function.
