Summary: Edited by A Dold and B. Eckmann
631
NumericalTreatmentof
DifferentialEquations
Proceedings, Oberwolfach, 1976
Edited by
R. Bulirsch, R. D. Grigorietf, and J.Schröder
Springer-Verlag
Berlin Heidelberg New York
SomeConvergence Results for the PEACEMAN-RACHFORDMethod
in the Noncommutative Case
G. Alefeld
1. Introduction
We consider the system of simultaneous linear equations
Au = b .
Let the matrix A be expressed as the sum
A = H + V
of two matrices H and V. Then we consider the following iteration method for
solving the system given above:
(rkI + H)x 1 = (rkI - V)Xk + b

Source: Alefeld, Götz - Institut für Angewandte und Numerische Mathematik & Fakultät für Mathematik, Universität Karlsruhe

Collections: Mathematics