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
This paper presents a new decomposition method for solving large-scale systems of nonlinear equations. The new method is of superlinear convergence speed and has rather less computa tional complexity than the Newton-t...This paper presents a new decomposition method for solving large-scale systems of nonlinear equations. The new method is of superlinear convergence speed and has rather less computa tional complexity than the Newton-type decomposition method as well as other known numerical methods, Primal numerical experiments show the superiority of the new method to the others.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.
文摘This paper presents a new decomposition method for solving large-scale systems of nonlinear equations. The new method is of superlinear convergence speed and has rather less computa tional complexity than the Newton-type decomposition method as well as other known numerical methods, Primal numerical experiments show the superiority of the new method to the others.
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.
