Iterated Ritz Method for solving systems of linear algebraic equations

Abstract

The paper describes research state of a new iterative method for solving systems of linear algebraic equations. The method is suitable for extremely large systems with sparse matrices. In addition to its own characteristics, it also has a feature of generality, as many iterative methods are only special cases of this approach. The algorithm was developed independently, and then implemented into the open source code program FEAP. Also, various checks were conducted, especially on practical models. Although the method has been only partially studied, good results have already been obtained.