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A modified Newton's method for solving trajectory optimization problems.

AIAA Journal, 1968
Modified Newton method for solution of simultaneous nonlinear equations applied to variational two point boundary value problems in trajectory ...
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A Modified Generalized Newton Method for Absolute Value Equations

Journal of Optimization Theory and Applications, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Avoiding Modified Matrix Factorizations in Newton-like Methods

Journal of Information and Optimization Sciences, 1988
Abstract When Newton’s method is applied to the minimization of a non-convex function, the search direction is often obtained from a modified quadratic model, where the Hessian matrix has been boosted to obtain a nearby positive-definite matrix. This paper describes a number of techniques for avoiding modifications to the Hessian, and indicates some ...
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A fifth-order family of modified Newton methods

BIT, 1971
Addition of a correction term every other Newton iteration provides a fifth-order method for finding simple zeros of nonlinear functions. A two-parameter family of such methods is developed. Each family member requires the given function and its derivative to be evaluated at two points per step.
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Accelerating and damping the modified Newton-Raphson method

Computers & Structures, 1984
Abstract The paper compares a number of different methods for accelerating and damping the modified Newton-Raphson method. For the purposes of the paper, “acceleration” is defined as a process whereby information currently available as part of the standard iterative process (although not necessarily normally stored) is used to modify the standard ...
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An efficient and robust monolithic approach to phase-field quasi-static brittle fracture using a modified Newton method

Computer Methods in Applied Mechanics and Engineering, 2021
Olivier Lampron   +2 more
exaly  

Newton and modified Newton methods for a class of integro-differential equations

2007
In this paper we apply Newton's method and its modified version to discrete equations obtained by applying a collocation method to a class of nonlinear integro-differential equations. We prove the convergence of these methods in some Sobolev type spaces.
Capobianco M.R.   +2 more
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Estimating ultrasonic time-of-flight through echo signal envelope and modified Gauss Newton method

Measurement: Journal of the International Measurement Confederation, 2016
Zhenkun Lu
exaly  

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