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Global convergence of the method of successive approximations on \(S^ 1\)

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Publication:1059230
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DOI10.1016/0022-247X(85)90143-XzbMath0566.39008OpenAlexW2069768526MaRDI QIDQ1059230

Giovanni Di Lena

Publication date: 1985

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(85)90143-x


zbMATH Keywords

fixed pointrecurrencerecursionperiodic points


Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05) Iteration theory, iterative and composite equations (39B12) Iteration of real functions in one variable (26A18)


Related Items

On the iterative process \(x_{n+1}=f(x_ n,x_{n-1})\)



Cites Work

  • Sulla convergenza del metodo delle approssimazioni successive in \(R^ 1\).
  • The fundamental theorem of algebra and complexity theory
  • Periodic Orbits of Continuous Mappings of the Circle
  • Period Three Implies Chaos
  • On continuous functions, commuting functions, and fixed points
  • Conditions for the convergence of iterative processes on the real axis
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