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

zbMath0707.26002MaRDI QIDQ919467

A. Zitarosa, Basilio Messano, Giovanni Di Lena

Publication date: 1988

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1988__80__139_0

zbMATH Keywords

global convergenceiterative process

Mathematics Subject Classification ID

Nonlinear programming (90C30) Fixed-point and coincidence theorems (topological aspects) (54H25) Numerical computation of solutions to single equations (65H05) Iteration of real functions in one variable (26A18)

Related Items (3)

On the generalized successive approximations method ⋮ From chaos to global convergence ⋮ An extension of Chu-Moyer's theorem to two variable functions

Cites Work

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• Continuous and discrete dynamics near manifolds of equilibria
• Global convergence of the method of successive approximations on \(S^ 1\)
• Chaos in \(C^ 0-\)endomorphism of interval
• Sulla convergenza del metodo delle approssimazioni successive in \(R^ 1\).
• On the global convergence of Halley's iteration formula
• On the Behavior of Successive Approximations
• On continuous functions, commuting functions, and fixed points
• Conditions for the convergence of iterative processes on the real axis

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