Truncated newton methods and the modeling of complex immersed elastic structures

Communications on Pure and Applied Mathematics ◽

10.1002/cpa.3160460602 ◽

1993 ◽

Vol 46 (6) ◽

pp. 787-818 ◽

Cited By ~ 58

Author(s):

Lisa J. Fauci ◽

Aaron L. Fogelson

Keyword(s):

Newton Methods ◽

Elastic Structures ◽

Truncated Newton Methods ◽

Truncated Newton

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Truncated-Newton Methods for Large-Scale Function Minimization

IFAC Proceedings Volumes ◽

10.1016/s1474-6670(17)62430-3 ◽

1983 ◽

Vol 16 (8) ◽

pp. 91-100

Author(s):

S.G. Nash

Keyword(s):

Large Scale ◽

Function Minimization ◽

Scale Function ◽

Newton Methods ◽

Truncated Newton Methods ◽

Truncated Newton

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Numerical Experiences with New Truncated Newton Methods in Large Scale Unconstrained Optimization

Computational Issues in High Performance Software for Nonlinear Optimization ◽

10.1007/978-0-585-26778-4_5 ◽

2007 ◽

pp. 71-87 ◽

Cited By ~ 1

Author(s):

Stefano Lucidi ◽

Massimo Roma

Keyword(s):

Unconstrained Optimization ◽

Large Scale ◽

Newton Methods ◽

Truncated Newton Methods ◽

Truncated Newton ◽

Large Scale Unconstrained Optimization

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On truncated-newton methods for solving the spatial price equilibrium problem

Networks ◽

10.1002/net.3230250403 ◽

1995 ◽

Vol 25 (4) ◽

pp. 177-182

Author(s):

M. Florian ◽

S. J. Thomas ◽

R. V. M. Zahar

Keyword(s):

Equilibrium Problem ◽

Newton Methods ◽

Price Equilibrium ◽

Spatial Price Equilibrium ◽

Truncated Newton Methods ◽

Spatial Price ◽

Truncated Newton ◽

Spatial Price Equilibrium Problem

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Data and performance profiles applying an adaptive truncation criterion, within linesearch-based truncated Newton methods, in large scale nonconvex optimization

Data in Brief ◽

10.1016/j.dib.2018.01.012 ◽

2018 ◽

Vol 17 ◽

pp. 246-255 ◽

Cited By ~ 8

Author(s):

Andrea Caliciotti ◽

Giovanni Fasano ◽

Stephen G. Nash ◽

Massimo Roma

Keyword(s):

Nonconvex Optimization ◽

Large Scale ◽

Newton Methods ◽

Truncated Newton Methods ◽

Performance Profiles ◽

Truncated Newton ◽

And Performance ◽

Truncation Criterion

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A survey of truncated-Newton methods

Numerical Analysis: Historical Developments in the 20th Century ◽

10.1016/b978-0-444-50617-7.50012-4 ◽

2001 ◽

pp. 265-279 ◽

Cited By ~ 1

Author(s):

Stephen G. Nash

Keyword(s):

Newton Methods ◽

Truncated Newton Methods ◽

Truncated Newton

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Block truncated-Newton methods for parallel optimization

Mathematical Programming ◽

10.1007/bf01589117 ◽

1989 ◽

Vol 45 (1-3) ◽

pp. 529-546 ◽

Cited By ~ 26

Author(s):

Stephen G. Nash ◽

Ariela Sofer

Keyword(s):

Parallel Optimization ◽

Newton Methods ◽

Truncated Newton Methods ◽

Truncated Newton

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Dynamic scaling based preconditioning for truncated Newton methods in large scale unconstrained optimization

Optimization Methods and Software ◽

10.1080/10556780410001727709 ◽

2005 ◽

Vol 20 (6) ◽

pp. 693-713 ◽

Cited By ~ 10

Author(s):

Massimo Roma

Keyword(s):

Unconstrained Optimization ◽

Large Scale ◽

Dynamic Scaling ◽

Newton Methods ◽

Truncated Newton Methods ◽

Truncated Newton ◽

Large Scale Unconstrained Optimization

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Truncated Newton Methods for Nonlinear Finite Element Analysis

Proceedings of the Third International Conference on Civil and Structural Engineering Computing ◽

10.4203/ccp.4.18.2 ◽

2009 ◽

Author(s):

M. Papadrakakis ◽

G.J. Gantes

Keyword(s):

Finite Element Analysis ◽

Finite Element ◽

Nonlinear Finite Element Analysis ◽

Nonlinear Finite Element ◽

Newton Methods ◽

Element Analysis ◽

Truncated Newton Methods ◽

Truncated Newton

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Curvilinear Stabilization Techniques for Truncated Newton Methods in Large Scale Unconstrained Optimization

SIAM Journal on Optimization ◽

10.1137/s1052623495295250 ◽

1998 ◽

Vol 8 (4) ◽

pp. 916-939 ◽

Cited By ~ 36

Author(s):

Stefano Lucidi ◽

Francesco Rochetich ◽

Massimo Roma

Keyword(s):

Unconstrained Optimization ◽

Large Scale ◽

Newton Methods ◽

Truncated Newton Methods ◽

Truncated Newton ◽

Large Scale Unconstrained Optimization

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Recent Advances in Gradient Based Unconstrained Optimization Techniques for Large Problems

Journal of Mechanisms Transmissions and Automation in Design ◽

10.1115/1.3258501 ◽

1983 ◽

Vol 105 (2) ◽

pp. 155-159 ◽

Cited By ~ 6

Author(s):

D. F. Shanno

Keyword(s):

Gradient Methods ◽

Optimization Techniques ◽

Newton Methods ◽

Variable Metric Methods ◽

Distributed Software ◽

Variable Metric ◽

Gradient Based ◽

Truncated Newton Methods ◽

Truncated Newton ◽

Theoretical Results

The paper surveys recent results in conjugate gradient methods, variable storage variable metric methods, sparse variable metric and finite difference Newton methods, and truncated Newton methods. Both computational and theoretical results will be discussed, as well as currently distributed software.

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