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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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Review
2016
Review
2016
As any real-life data, data modeled by linear mixed-effects models often contain outliers or other contamination. Even little… Expand
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Highly Cited
2008
Highly Cited
2008
• J. Mach. Learn. Res.
• 2008
• Corpus ID: 42522065
Large-scale logistic regression arises in many applications such as document classification and natural language processing. In… Expand
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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
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Highly Cited
2003
Highly Cited
2003
Preface How to Get the Software 1. Introduction 2. Finding the Newton Step with Gaussian Elimination 3. Newton-Krylov Methods 4… Expand
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Highly Cited
2002
Highly Cited
2002
• SIAM J. Optimization
• 2002
• Corpus ID: 44087833
This paper addresses complementarity problems motivated by constrained optimal control problems. It is shown that the primal-dual… Expand
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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
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Highly Cited
1996
Highly Cited
1996
• SIAM J. Scientific Computing
• 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
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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… Expand
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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
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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
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