A NONSTATIONARY FREE-GROUP ITERATION METHOD

A.A. Maleev
VANT. Ser.: Mat. Mod. Fiz. Proc 1992. Вып.1. С. 73-76.

      A family of nonstationary iteration procedures is described designed for solving a linear system with nondegenerate complex-value matrix called Free-Group Iteration (FGI). This family is shown to include a block Jacobi method and a group relaxation method, the nonstationary Gauss-Zeidel method being the partial case of the latter. FGI convergence is proved (with some natural restrictions) for systems of linear equations with matrices having strong diagonal domination or irreducible dominant diagonal.