Research On Splitting Iterative Methods Of Non-hermitian Positive Definite Linear Systems

Solving Large linear algebraic equations plays a more and more important role in various modern scientific project filed,such as in the filed of fluid mechanics, optimization problem, electromagnetics and reservoir simulation.Hence,the study of how to solve large spare linear equations becomes one of the impotent task in modern engineering research study,and has major theoretic value and wide-ranging application.In this paper,we give a new splitting scheme based on the study of the coefficient matrix of non-Hermitian positive definite equations.By using the new method we constructed a single splitting convergence theory of non-hermitian positive definite equations, the result is satisfactory with some precision.Besides,the application of the new method in preprocessing calculate provide a better splitting form, and obtain feasible convergence theory.The new method we studied in this paper relaxed the conditions of HSS splitting, making the calculation easier and the treatment quicker, hence the new method is feasible and efficient.The experimental results indicate that, the algorithm method cut down iteration times, and further improved and developed the single splitting iteration method of large linear equations.