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Bc. Vendula Švendová

Master's thesis

Steffensenova metoda a její zobecnění

Steffensen's method and its generalization
Abstract:
Predlozena prace popisuje Steffensenovu metodu jako variantu Newtonovy metody. Uvodni kapitola nastinuje problematiku reseni soustav nelinearnich rovnic. Druha kapitola predstavuje obe metody v oboru realnych cisel. Steffensenova metoda je navic odvozena z Aitkenovy metody pro urychleni konvergence jinych iteracnich metod. Treti kapitola se zabyva teorii majorizace v Banachove prostoru. Ve ctvrte kapitole …more
Abstract:
Presented work describes the study of Steffensen's method as a variant of Newton's method. Introductory chapter foreshadows the problem of solving nonlinear equations. The second chapter introduces both methods in the field of real numbers. Additionally, Steffensen's method is derived from Aitken method for the acceleration of convergence of other iterative methods. The third chapter covers the majorization …more
 

Keywords

Steffensenova metoda Newtonova metoda Aitkenova metoda Banachuv prostor Steffensen's method Newton's method Aitken's method Banach space
 
Language used: Czech
Date on which the thesis was submitted / produced: 18. 1. 2010
Identifier: https://is.muni.cz/th/sh2y4/

Thesis defence

  • Date of defence: 14. 6. 2010
  • Supervisor: prof. RNDr. Ivanka Horová, CSc.
  • Reader: Mgr. Jiří Zelinka, Dr.

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Institution archiving the thesis and making it accessible: Masarykova univerzita, Přírodovědecká fakulta
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Masaryk University

Faculty of Science

Master programme / field:
Mathematics / Mathematical Modelling and Numeric Methods

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