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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… Expand
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Papers overview

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Highly Cited
2006
Highly Cited
2006
• Math. Program.
• 2006
• Corpus ID: 7964929
In this paper, we provide theoretical analysis for a cubic regularization of Newton method as applied to unconstrained… Expand
Highly Cited
2000
Highly Cited
2000
• Appl. Math. Lett.
• 2000
• Corpus ID: 38900993
In the given method, we suggest an improvement to the iteration of Newton's method. Derivation of Newton's method involves an… Expand
Highly Cited
1997
Highly Cited
1997
• 1997
• Corpus ID: 16575682
A quasi-Newton method is used to simultaneously relax the internal coordinates and lattice parameters of crystals under pressure… Expand
Highly Cited
1996
Highly Cited
1996
• SIAM J. Sci. Comput.
• 1996
• Corpus ID: 9633121
An inexact Newton method is a generalization of Newton’s method for solving $F(x) = 0,F:\mathbb{R}^n \to \mathbb{R}^n$in which… Expand
Highly Cited
1995
Highly Cited
1995
• T. Ypma
• SIAM Rev.
• 1995
• Corpus ID: 3588766
This expository paper traces the development of the Newton-Raphson method for solving nonlinear algebraic equations through the… Expand
Highly Cited
1993
Highly Cited
1993
• Math. Program.
• 1993
• Corpus ID: 17501639
Newton's method for solving a nonlinear equation of several variables is extended to a nonsmooth case by using the generalized… Expand
Review
1992
Review
1992
• R. Battiti
• Neural Computation
• 1992
• Corpus ID: 27960650
On-line first-order backpropagation is sufficiently fast and effective for many large-scale classification problems but for very… Expand
Highly Cited
1987
Highly Cited
1987
Preface How to Get the Software 1. Introduction 2. Finding the Newton Step with Gaussian Elimination 3. Newton-Krylov Methods 4… Expand
Highly Cited
1987
Highly Cited
1987
• 1987
• Corpus ID: 11607431
Techniques from numerical analysis and crystallographic refinement have been combined to produce a variant of the Truncated… Expand
Highly Cited
1974
Highly Cited
1974
SUMMARY To define a likelihood we have to specify the form of distribution of the observations, but to define a quasi-likelihood… Expand