Without any functional expansions, accurate orientational distribution functions are obtained by using a newly iterative method to solve the equation of equilibrium state.

By means of iterative method,the existence and convergence of the solutions are showed in case Ais invertible.

In respect to the shortest path problem of the weighed direct graph,the iterative method of minimum algebra is established.

And we will give the iterative methods for computing the weighted α β generalized inverse and the sufficient and necessary conditions are obtained.

A solution of a sort special matrix equation by iteration method;

In this paper we present a new iteration method with high accuracy for solving nonlinear equations, This method has not only 5-order convergence but also avoids the operation of derivatives.

The existence and uniqueness of the solution to the equation x=A(x,…,x) is studied in weaker condition by using the cones theory and iteration method.

Moreover,we get the conclusion that the conjugate space of Lp is Lq and, for application,the maximal and minimal solutions to a class of nonlinear integral equations in Hilbert spaces and relevant monotone iterative technique are studied.

To speed up the slow convergence rate of Landweber iteration method,a preconditioning approach is proposed to the convergence rate,i.

However,when the permittivity of the scatter becomes large,the convergence rate of Krylov subspace iterative methods slow down.