Block Triangular and Skew-Hermitian Splitting Methods for Positive-Definite Linear Systems 论文

摘要

By further generalizing the concept of Hermitian (or normal) and skew-Hermitian splitting for a non-Hermitian and positive-definite matrix, we introduce a new splitting, called positive-definite and skew-Hermitian (PS) splitting, and then establish a class of positivedefinite and skew-Hermitian splitting (PSS) methods similar to the Hermitian (or normal) and skew-Hermitian splitting (HSS or NSS) method for iteratively solving the positive definite systems of linear equations. Theoretical analysis shows that the PSS method converges # Subsidized by The Special Funds For Major State Basic Research Projects G1999032803.