Local convergence of Newton’s method under majorant condition

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2010.08.038 ◽

2011 ◽

Vol 235 (5) ◽

pp. 1515-1522 ◽

Author(s):

O.P. Ferreira

Keyword(s):

Newton’S Method ◽

Local Convergence ◽

Newton's Method ◽

Majorant Condition

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A robust semi-local convergence analysis of Newton’s method for cone inclusion problems in Banach spaces under affine invariant majorant condition

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2014.11.019 ◽

2015 ◽

Vol 279 ◽

pp. 318-335 ◽

Author(s):

O.P. Ferreira

Keyword(s):

Convergence Analysis ◽

Banach Spaces ◽

Newton’S Method ◽

Local Convergence ◽

Newton's Method ◽

Affine Invariant ◽

Inclusion Problems ◽

Majorant Condition ◽

Local Convergence Analysis

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Local convergence of Newton's method under a majorant condition in Riemannian manifolds

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drr048 ◽

2012 ◽

Vol 32 (4) ◽

pp. 1696-1713 ◽

Author(s):

O. P. Ferreira ◽

R. C. M. Silva

Keyword(s):

Riemannian Manifolds ◽

Newton’S Method ◽

Local Convergence ◽

Newton's Method ◽

Majorant Condition

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Improved local convergence of Newton’s method under weak majorant condition

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2011.10.021 ◽

2012 ◽

Vol 236 (7) ◽

pp. 1892-1902 ◽

Author(s):

Ioannis K. Argyros ◽

Saïd Hilout

Keyword(s):

Newton’S Method ◽

Local Convergence ◽

Newton's Method ◽

Majorant Condition

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Local convergence of Newton’s method on the Heisenberg group

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2015.12.025 ◽

2016 ◽

Vol 300 ◽

pp. 217-232

Author(s):

Béchir Dali ◽

Chong Li ◽

Jinhua Wang

Keyword(s):

Heisenberg Group ◽

Newton’S Method ◽

Local Convergence ◽

Newton's Method

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Local convergence of Newton’s method in the classical calculus of variations

Optimization ◽

10.1080/02331934.2013.811664 ◽

2013 ◽

Vol 64 (4) ◽

pp. 957-980 ◽

Author(s):

Mark Gockenbach ◽

Chang Liu

Keyword(s):

Calculus Of Variations ◽

Newton’S Method ◽

Local Convergence ◽

Newton's Method ◽

Classical Calculus

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A Unifying Local Convergence Result for Newton's Method in Riemannian Manifolds

Foundations of Computational Mathematics ◽

10.1007/s10208-006-0221-6 ◽

2006 ◽

Vol 8 (2) ◽

pp. 197-226 ◽

Author(s):

F. Alvarez ◽

J. Bolte ◽

J. Munier

Keyword(s):

Riemannian Manifolds ◽

Newton’S Method ◽

Local Convergence ◽

Newton's Method ◽

Convergence Result

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General local convergence theory for a class of iterative processes and its applications to Newton’s method

Journal of Complexity ◽

10.1016/j.jco.2008.05.006 ◽

2009 ◽

Vol 25 (1) ◽

pp. 38-62 ◽

Author(s):

Petko D. Proinov

Keyword(s):

Newton’S Method ◽

Local Convergence ◽

Newton's Method ◽

Convergence Theory ◽

Iterative Processes

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Local convergence of Newton’s method for solving generalized equations with monotone operator

Applicable Analysis ◽

10.1080/00036811.2017.1299860 ◽

2017 ◽

Vol 97 (7) ◽

pp. 1094-1105 ◽

Author(s):

Gilson N. Silva

Keyword(s):

Monotone Operator ◽

Newton’S Method ◽

Local Convergence ◽

Newton's Method ◽

Generalized Equations

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Local convergence of Newton’s method for subanalytic variational inclusions

10.1007/s11117-007-2155-x ◽

2008 ◽

Vol 12 (3) ◽

pp. 525-533 ◽

Author(s):

Catherine Cabuzel ◽

Alain Pietrus

Keyword(s):

Newton’S Method ◽

Local Convergence ◽

Newton's Method ◽

Variational Inclusions

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Robinson’s Strong Regularity Implies Robust Local Convergence of Newton’s Method

Applied Optimization - Optimal Control ◽

10.1007/978-1-4757-6095-8_6 ◽

1998 ◽

pp. 116-129 ◽

Author(s):

S. P. Dokov ◽

A. L. Dontchev

Keyword(s):

Newton’S Method ◽

Local Convergence ◽

Newton's Method ◽

Strong Regularity

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