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The secand method in banach spaces

Die Sekantenmethode in Banach-Räumen

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Abstract

The paper concerns to solutions of the operator equationf(x)=0. Using the quotient operator the equation is solved with the iteration method. Points from a given sphere are arbitrarily chosen for quotients creating.

Zusammenfassung

Es werden Iterationsverfahren zur Bestimmung von Nullstellen nichtlinearer Operatoren in Banach-Räumen behandelt, die mit Steigungen erster Ordnung arbeiten. Zur Berechnung der Steigungen werden die Punkte auf einer Kugel beliebig gewählt.

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Authors and Affiliations

  1. Instytut Matematyki AGH, Al. Mickiewicza 30, Krakow, Poland

    W. Solak & M. Struś

Authors
  1. W. Solak
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  2. M. Struś
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Additional information

The theoretical part of the paper is due to W. Solak, and the numerial one — to M. Struś.

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Solak, W., Struś, M. The secand method in banach spaces. Computing 16, 201–209 (1976). https://doi.org/10.1007/BF02280879

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  • DOI: https://doi.org/10.1007/BF02280879

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