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A FAMILY OF THE QUASI-NEWTON METHODS

A FAMILY OF THE QUASI-NEWTON METHODS
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Quasi-Newton methods with derivatives

Calcolo, 1995
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J.M. Martínez
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Convergence of quasi-Newton method with new inexact line search

Journal of Mathematical Analysis and Applications, 2006
Quasi-Newton method is a well-known effective method for solving optimization problems. Since it is a line search method, which needs a line search procedure after determining a search direction at each iteration, we must decide a line search rule to ...
Zhen-Jun Shi
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Stochastic Quasi-Newton Methods

Proceedings of the IEEE, 2020
Large-scale data science trains models for data sets containing massive numbers of samples. Training is often formulated as the solution of empirical risk minimization problems that are optimization programs whose complexity scales with the number of elements in the data set.
Aryan Mokhtari, Alejandro Ribeiro
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A Survey of Quasi-Newton Equations and Quasi-Newton Methods for Optimization

Annals of Operations Research, 2001
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Chengxian Xu, Jianzhong Zhang 0001
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Approximate quasi-Newton methods

Mathematical Programming, 1990
Newton-like iterative methods for nonlinear equations on Banach spaces are considered. It is proved how the local convergence behaviour of the quasi-Newton method in the infinite dimensional setting is affected by the refinement strategy. Applications to boundary value problems and integral equations are included.
C. T. Kelley, Ekkehard W. Sachs
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A matrix-free quasi-Newton method for solving large-scale nonlinear systems [PDF]

Computers and Mathematics With Applications, 2011
One of the widely used methods for solving a nonlinear system of equations is the quasi-Newton method. The basic idea underlining this type of method is to approximate the solution of Newton’s equation by means of approximating the Jacobian matrix via ...
Wah June Leong
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