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Kantorovich theorem
Known as:
Newton-Kantorovich theorem
The Kantorovich theorem is a mathematical statement on the convergence of Newton's method. It was first stated by Leonid Kantorovich in 1940. Newton…
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Related topics
Related topics
3 relations
Jacobian matrix and determinant
List of numerical analysis topics
Newton's method
Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
2017
2017
Extended and Unified Local Convergence for Newton-Kantorovich Method Under w-Conditions with Applications
I. Argyros
,
S. George
2017
Corpus ID: 6704271
The goal of this paper is to present a local convergence analysis of Newton’s method for approximating a locally unique solution…
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2016
2016
Semi-analytical solutions for buckling and post-buckling of composite plates: Application to stiffened Panels
E. Talens
2016
Corpus ID: 125242649
This MSc thesis addresses the study of buckling and post-buckling of composite plates with elastic restraints at the edges and…
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2014
2014
AN INTERMEDIATE NEWTON ITERATIVE SCHEME AND GENERALIZED ZABREJKO-NGUEN AND KANTOROVICH EXISTENCE THEOREMS FOR NONLINEAR EQUATIONS
L. Uko
2014
Corpus ID: 15155729
We revisit a one-step intermediate Newton iterative scheme that was used by Uko and Velásquez in [17] for the constructive…
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2013
2013
Cycling in Newton’s Method
E. MikheevSerge
2013
Corpus ID: 212586102
Cycling in Newton’s method for systems of nonlinear equations in multi-dimensional spaces is researched. The functions of the…
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Review
2009
Review
2009
AN IMPROVED NEWTON{KANTOROVICH THEOREM AND INTERIOR POINT METHODS
I. Argyros
2009
Corpus ID: 55881312
Abstract. We use an improved Newton{Kantorovich theorem intro-duced in [2] to analyze interior point methods. Our approach…
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2008
2008
ON THE NEWTON-KANTOROVICH AND MIRANDA THEOREMS
I. Argyros
2008
Corpus ID: 67808666
Abstract. We recently showed in [5] a semilocal convergence theoremthat guarantees convergence of Newton’s method to a locally…
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1992
1992
THE KANTOROVICH THEOREM FOR NONLINEAR COMPLEMENTARITY PROBLEMS
Shu-Zi Zhou
,
Qin Yan
1992
Corpus ID: 117057427
Nonlinear complementarity problems (NCP) are a kind of important problem presenting in mathematical physics and economic…
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1987
1987
A convergence theorem for Newton-like methods in Banach spaces
Tetsuro Yamamoto
1987
Corpus ID: 189777482
SummaryA convergence theorem for Newton-like methods in Banach spaces is given, which improves results of Rheinboldt [27], Dennis…
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1986
1986
A Kantorovich-type convergence analysis for the Gauss-Newton-Method
W. Häußler
1986
Corpus ID: 189767633
SummaryWe present a (semilocal) “Kantorovich-type” convergence analysis for the Gauss-Newton-Method which reduces to the…
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1970
1970
THE KANTOROVICH THEOREM AND ERROR ESTIMATES FOR NEWTON'S METHOD.
L. B. Rall
,
R. Tapia
1970
Corpus ID: 118386765
Abstract : In this note the authors derive a simple recurrence relation for the best possible error estimates the Kantorovich…
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