Convergence theorems for parallel multisplitting two-stage iterative methods for mildly nonlinear systems Original Research Article

For the system of mildly nonlinear equations Ax=F(x), where image is an n-by-n sparse real matrix and image a general nonlinear mapping, both local and global convergence properties of the multisplitting two-stage iterative method (Numer. Algorithms 15 (1997) 347) are further studied in depth when image is symmetric positive definite and its multiple splittings are symmetric P-regular.