PCG METHODS APPLIED TO A SYSTEM OF NONLINEAR EQUATIONS

[摘要] In this paper, we consider a quasi-Newton iteration for solving a nonlinear equation F(x) = Ax + g(x) = 0 in R(n), where A is a symmetric positive definite matrix and g is a bounded continuous function. We discuss the PCG method with various preconditioners to solve the linear equation at each step of the iteration, estimate their condition numbers, and compare their computing time for a numerical example.

[发布日期] 1991-12-23

[关键词] NEWTON-LIKE METHOD;PCG METHOD;NONLINEAR EQUATIONS