用Schubert方法求解奇异问题

Schubert Method at Singnlar Point

本文对R上的一类奇异的非线性算子方程,给出了Schubert方法的收敛充分条件及其敛速估计.

For a Class of nonlinear eguation F(x)= 0, in Rn, with the Jac-obian F' being singular at root x*, Schubert method is Shown to yield a Sequence that Conuerges Linearlg to x*, if the initial gues is Chosen in a Special region the asgmptotic Linear rate is (5 - 1) /2.