In this paper,the operator is evaluated with energy norm for the non-symmetric and indefinite elliptic problem without regularity assumption,then the convergence of multigrid algorithm is proved based on the Richardson iteration and two base assumptions.

Richardson iterative method for solving system of linear equations with the positive definite coefficient matrix is considered,and a new constant step length rule only depending on the minimal diagonal element and the maximum eigenvalue is proposed.

Improved iterative compensation method for diffraction in SAW filters;

A fast iterative algorithm for very large Fibonacci numbers;

Curvilinear synthetic aperture radar iterative algorithm;

High-precision and fast square root algorithm based on Newton iteration method;

An iteration method to seek the matrix inversion;

Finite element iteration method for stability safety factor of known sliding surface;

Error grade iterative method of BP neural networks;

While seeking maximum flux on pipeline , we must consider the infection of pumps with each other, and use the iterative method.

The perturbation vector of original structure is processed by the Padé approximation to get the increasing perturbation solution of the transitional structure, and to achieve an accurate result with iterative method, furthermore, the combination of the results.