【Abstract】 A 2-step nonlinear conjugate gradient (NCG) method has been introduced and an-alyzed in [2]. This method can be used to solve large sparse nonlinear equations with nonsymmetric Jacobin. In this paper, we presented a parallel algorithm of precohdi-tioned 2-step nonlinear conjugate gradient method and discuss how to choose the better precondition which is more suitable for shared memory multiprocessor. Also, we ana lyze how to implement efficiently polynomial preconditioning with step NCG method on shared memory parallel computer. Numerical result on solving nonlinear equations arising from the discretization of nonlinear elliptic partial equations have been given.更多还原