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Monotony by some Newton-like methods

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Publication:1159952
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DOI10.1007/BF01849610zbMath0476.65039MaRDI QIDQ1159952

S. H. Smith

Publication date: 1981

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)


zbMATH Keywords

Banach latticeBanach spaceNewton-like methodsuccessive approximationspartial orderingmonotone behaviour


Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)


Related Items (1)

Iterative Einschließung von Lösungen nichtlinearer Operatorgleichungen und Bestimmung von Startnäherungen



Cites Work

  • Unnamed Item
  • Unnamed Item
  • On Newton-like methods
  • Die Regula falsi in Banach-Räumen. (The regula falsi in Banach spaces)
  • Monotoniesätze für Regula-falsi- und Newton-Verfahren. (Monotonicy theorems for regula-falsi and Newton method)


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