Improved Convergence for Linear Systems Using Three-Part Splittings.

摘要

A survey is presented of the author's theory of 3-part splittings and to its advantages over the 'classical' 2-part splittings (e.g. Gauss-Seidel, SOR). In particular - analysis is made for the case when the 2-part iteration matrix B has real spectrum, and pure complex spectrum. M. Neumann's work on 3-part splittings for rectangular matrices is part of the section of open problems.