JournalszaaVol. 9, No. 4pp. 327–341

Convergence Statements for Projection Type Linear Iterative Methods with Relaxations

  • Dieter Schott

    Hochschule Wismar, Germany
Convergence Statements for Projection Type Linear Iterative Methods with Relaxations cover
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Abstract

To determine solutions or generalized solutions of the linear operator equation Ax=bAx = b linear iterative methods of the form xn+1=(IDn)xn+Dnbx_{n+1} = (I – D_n) x_n + D_n b are considered for which the operators Tn=IDnAT_n = I – D_nA are norm-reducing outside their fixed point set. Conditions are given which guarantee the convergence of the methods and certain properties of the limit elements.

Cite this article

Dieter Schott, Convergence Statements for Projection Type Linear Iterative Methods with Relaxations. Z. Anal. Anwend. 9 (1990), no. 4, pp. 327–341

DOI 10.4171/ZAA/405