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Ableitungsfreie Verfahren ohne Auflösung linearer Gleichungen. (German) Zbl 0183.43802


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[1] Altman, M.: An Optimum Cubically Convergent Iterative Method of Inverting a Linear Bounded Operator inHilbert Space. Pacific J. Math.10, 1107–1113 (1960). · Zbl 0095.09401
[2] Kantorowitsch, L. W., undG. P. Akilow: Funktionalanalysis in normierten Räumen (Übersetzung aus dem Russischen). Berlin: Akademie-Verlag. 1964.
[3] Ortega, J. M., andW. C. Rheinboldt: Local and Global Convergence of Generalized Linear Iterations. Technical Report Univ. Maryland. November 1968, 68–82.
[4] Petryshyn, W. V.: On the Inversion of Matrices and Linear Operators. Proc. Amer. Math. Soc.16, 893–901 (1965). · Zbl 0151.19301
[5] Schmidt, J. W.: Eine Übertragung der Regula falsi auf Gleichungen inBanach-Räumen. Z. Angew. Math. Mech.41, T 61-T 63 (1961);43, 1–8, 97–100 (1963).
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[7] Traub, J. F.: Iterative Methods for the Solution of Equations. Englewood Cliffs, New Jersey: Prentice Hall. 1964. · Zbl 0121.11204
[8] Ulm, S.: Über Iterationsverfahren mit sukzessiver Approximation des inversen Operators (russ.). Izv. Akad. Nauk Est. SSR16, 403–411 (1967).
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