Some Numerical Algorithms For Large Sparse Linear Systems

Large sparse linear systems have a wide range of applications in science and engineer. In this paper we analyze some new methods for solving some special linear algebra equations.In the first part, we present some parametric methods for solving five-diagonal equations. Compared with the LU decomposition method, it turns out to be more robust.In the second part, we establish the generalized symmetric SOR method (GSSOR) for solving the large sparse augmented systems of linear equations, and also give the convergence of the GSSOR method.In the third part, we describe a mingle method to solve the linear systems, and then give the analysis of their convergence for some assumptions on the original matrix.