Local convergence analysis of inexact Newton-like methods.
Argyros, Ioannis K., Hilout, Said (2009)
The Journal of Nonlinear Sciences and its Applications
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Argyros, Ioannis K., Hilout, Said (2009)
The Journal of Nonlinear Sciences and its Applications
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Argyros, Ioannis K., Hilout, Saäid (2008)
The Journal of Nonlinear Sciences and its Applications
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Czernous, Wojciech (2005)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Ioannis Argyros (2000)
Applicationes Mathematicae
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In this study we are concerned with the problem of approximating a solution of a nonlinear equation in Banach space using Newton-like methods. Due to rounding errors the sequence of iterates generated on a computer differs from the sequence produced in theory. Using Lipschitz-type hypotheses on the mth Fréchet derivative (m ≥ 2 an integer) instead of the first one, we provide sufficient convergence conditions for the inexact Newton-like method that is actually generated on the computer....
Wanka, A. (1989)
Séminaire Lotharingien de Combinatoire [electronic only]
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Alimohammady, M., Shahmari, A. (2009)
The Journal of Nonlinear Sciences and its Applications
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Xue Zhiqun (2006)
Kragujevac Journal of Mathematics
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Xingbao Wu (1995)
Annales Polonici Mathematici
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A nonlinear differential equation of the form (q(x)k(x)u')' = F(x,u,u') arising in models of infiltration of water is considered, together with the corresponding differential equation with a positive parameter λ, (q(x)k(x)u')' = λF(x,u,u'). The theorems about existence, uniqueness, boundedness of solution and its dependence on the parameter are established.
Svatoslav Staněk (1993)
Annales Polonici Mathematici
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A differential equation of the form (q(t)k(u)u')' = F(t,u)u' is considered and solutions u with u(0) = 0 are studied on the halfline [0,∞). Theorems about the existence, uniqueness, boundedness and dependence of solutions on a parameter are given.
Hua, Jun, Moseley, James L. (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Olusegun O. Owojori (2008)
Kragujevac Journal of Mathematics
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Tronin, S.N. (2002)
Sibirskij Matematicheskij Zhurnal
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Ziomek, Marcin (2006)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Meirmanov, A.M. (2007)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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