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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 determinantList of numerical analysis topicsNewton's method

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2020
2020
Numerical verification for asymmetric solutions of the Hénon equation on the unit square
The H\'enon equation, a generalized form of the Emden equation, admits symmetry-breaking bifurcation for a certain ratio of the… 
2016
2016
Semi-analytical solutions for buckling and post-buckling of composite plates: Application to stiffened Panels
This MSc thesis addresses the study of buckling and post-buckling of composite plates with elastic restraints at the edges and… 
2015
2015
Extended convergence results for the Newton-Kantorovich iteration
2010
2010
Extending the Newton-Kantorovich hypothesis for solving equations
2008
2008
Hahn–Banach extension theorems for multifunctions revisited
Several generalizations of the Hahn–Banach extension theorem to K-convex multifunctions were stated recently in the literature… 
2008
2008
ON THE NEWTON-KANTOROVICH AND MIRANDA THEOREMS
Abstract. We recently showed in [5] a semilocal convergence theoremthat guarantees convergence of Newton’s method to a locally… 
1997
1997
On the convergence of two-step methods generated by point-to-point operators
1992
1992
THE KANTOROVICH THEOREM FOR NONLINEAR COMPLEMENTARITY PROBLEMS
Nonlinear complementarity problems (NCP) are a kind of important problem presenting in mathematical physics and economic… 
1986
1986
A Kantorovich-type convergence analysis for the Gauss-Newton-Method
SummaryWe present a (semilocal) “Kantorovich-type” convergence analysis for the Gauss-Newton-Method which reduces to the… 
1970
1970
THE KANTOROVICH THEOREM AND ERROR ESTIMATES FOR NEWTON'S METHOD.
Abstract : In this note the authors derive a simple recurrence relation for the best possible error estimates the Kantorovich… 
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