An Algorithm for solving Equation Set Based on Approximate Inverse

AbstractEquation Set has a wide range of applications in scientific research and engineering design, which has two main solving methods: direct approach and iteration method. In this article, a fast method for computing matrix with approximate inverse is proposed, and based on which, a Fast iterative algorithm for linear equation set is given. Theoretical analysis is shown that the algorithm converge to zero with exponential order, then the results of numerical experiments also show the features of fast convergence speed, easily control precision and favorable effect.