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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… Expand

Highly Cited

2000

Highly Cited

2000

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

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

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

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

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

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

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