Newton's Method for Gradient Equations Based upon the Fixed Point Map: Convergence and Complexity Study.
Joseph W. Jerome (1987)
Numerische Mathematik
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Displaying similar documents to “Convergence Analysis of the General Gauss-Newton Algorithm.”
Newton's Method for Gradient Equations Based upon the Fixed Point Map: Convergence and Complexity Study.
On Newton-like Iteration Functions: General Convergence Theorems and a Specific Algorithm.
K.M. BROWN, J.E. JR. DENNIS (1968)
Numerische Mathematik
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On Newton-Like Methods.
J.E. jr. DENNIS (1968)
Numerische Mathematik
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Convergence of Newton-Like Methods for Solving Systems of Nonlinear Equations.
J.C.P. Bus (1976/1977)
Numerische Mathematik
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Convergence of Newton-Like-Iterative Methods.
T.J. Ypma (1984)
Numerische Mathematik
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Convergence of a short-step primal-dual algorithm based on the Gauss-Newton direction.
Kruk, Serge, Wolkowicz, Henry (2003)
Journal of Applied Mathematics
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A Kantorovich-type Convergence Analysis for the Gauss-Newton-Method.
W.M. Häußler (1986)
Numerische Mathematik
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Convergence of the Newton Process to Multiple Solutions.
L.B. RALL (1966/67)
Numerische Mathematik
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Local convergence analysis of a modified Newton-Jarratt's composition under weak conditions
Ioannis K. Argyros, Santhosh George (2019)
Commentationes Mathematicae Universitatis Carolinae
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A. Cordero et. al (2010) considered a modified Newton-Jarratt's composition to solve nonlinear equations. In this study, using decomposition technique under weaker assumptions we extend the applicability of this method. Numerical examples where earlier results cannot apply to solve equations but our results can apply are also given in this study.
Comparing the radii of some balls appearing in connection to three local convergence theorems for Newton's method.
Argyros, Ioannis K. (1998)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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A Globalization Scheme for the Generalized Gauss-Newton Method.
O. Knoth (1989/90)
Numerische Mathematik
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On the semilocal convergence of a two-step Newton-like projection method for ill-posed equations
Ioannis K. Argyros, Santhosh George (2013)
Applicationes Mathematicae
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We present new semilocal convergence conditions for a two-step Newton-like projection method of Lavrentiev regularization for solving ill-posed equations in a Hilbert space setting. The new convergence conditions are weaker than in earlier studies. Examples are presented to show that older convergence conditions are not satisfied but the new conditions are satisfied.
Newton-Kantorovich method and its global convergence.
Polyak, B.T. (2004)
Journal of Mathematical Sciences (New York)
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Improved local convergence analysis of inexact Newton-like methods under the majorant condition
Ioannis K. Argyros, Santhosh George (2015)
Applicationes Mathematicae
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We present a local convergence analysis of inexact Newton-like methods for solving nonlinear equations. Using more precise majorant conditions than in earlier studies, we provide: a larger radius of convergence; tighter error estimates on the distances involved; and a clearer relationship between the majorant function and the associated least squares problem. Moreover, these advantages are obtained under the same computational cost.