Newton's method

Known as: Newtonian iteration, Newton-Raphson Algorithm, Newton Rhapson 
In numerical analysis, Newton's method (also known as the Newton–Raphson method), named after Isaac Newton and Joseph Raphson, is a method for… (More)
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1957-2018
020040019572017

Papers overview

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Highly Cited
2006
Highly Cited
2006
In this paper, we provide theoretical analysis for a cubic regularization of Newton method as applied to unconstrained… (More)
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Highly Cited
2004
Highly Cited
2004
A fast Newton method, that suppresses input space features, is proposed for a linear programming formulation of support vector… (More)
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Highly Cited
1999
Highly Cited
1999
We analyze a trust region version of Newton’s method for bound-constrained problems. Our approach relies on the geometry of the… (More)
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Highly Cited
1996
Highly Cited
1996
An inexact Newton method is a generalization ofNewton's method for solving F(x) 0, F n _ _ in, in which, at the kth iteration… (More)
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Highly Cited
1996
Highly Cited
1996
We propose a new algorithm, a reflective Newton method, for the minimization of a quadratic function of many variables subject to… (More)
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Highly Cited
1995
Highly Cited
1995
This expository paper traces the development of the Newton-Raphson method for solving nonlinear algebraic equations through the… (More)
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Highly Cited
1994
Highly Cited
1994
Inexact Newton methods for finding a zero of F 1 1 are variations of Newton's method in which each step only approximately… (More)
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Highly Cited
1993
Highly Cited
1993
Newton's method for solving a nonlinear equation of several variables is extended to a nonsmooth case by using the generalized… (More)
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Highly Cited
1989
Highly Cited
1989
We study the numerical performance of a limited memory quasi Newton method for large scale optimization which we call the L BFGS… (More)
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Highly Cited
1988
Highly Cited
1988
The main motivation for this work was the idea that there should exist an easily understood polynomial time algorithm for linear… (More)
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