Zur Konvergenz von Iterationsverfahren mit affinen Operatoren
Dieter Schott
Hochschule Wismar, Germany
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Abstract
Many well-known numerical procedures for the iterative solution of linear equations in Banach spaces have the form
with affine operators . If the operators possess common fixed points, then there often exist affine projectors with the property
In this paper some convergence theorems are proved for iteration methods having such operator sequences.
Cite this article
Dieter Schott, Zur Konvergenz von Iterationsverfahren mit affinen Operatoren. Z. Anal. Anwend. 2 (1983), no. 2, pp. 145–157
DOI 10.4171/ZAA/56