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Trust region
Known as:
Restricted step method
, Trust region methods
Trust region is a term used in mathematical optimization to denote the subset of the region of the objective function that is approximated using a…
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Related topics
Related topics
14 relations
BOBYQA
Gauss–Newton algorithm
LINCOA
Levenberg–Marquardt algorithm
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Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
2014
2014
Using surrogate models for efficient optimization of simulated moving bed chromatography
Suzhou Li
,
Lihong Feng
,
P. Benner
,
A. Seidel-Morgenstern
Computers and Chemical Engineering
2014
Corpus ID: 40773231
2005
2005
Designing transcranial magnetic stimulation systems
K. Davey
,
M. Riehl
IEEE transactions on magnetics
2005
Corpus ID: 8334186
We explain the process of designing optimized transcranial magnetic stimulation systems and outline a method for identifying…
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2004
2004
Simulation-based design optimization methodologies applied to CFD
J. Parry
,
R. Bornoff
,
P. Stehouwer
,
L. Driessen
,
E. Stinstra
IEEE transactions on components and packaging…
2004
Corpus ID: 33618901
Finding the optimal physical design for an electronic system is extremely time-consuming. In this paper, we describe a sequential…
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2004
2004
Implementing the Levenberg-Marquardt Algorithm on-line: A Sliding Window Approach with Early Stopping
F. M. Dias
,
A. Antunes
,
José M. N. Vieira
,
A. Mota
2004
Corpus ID: 1809429
Highly Cited
2003
Highly Cited
2003
A new trust region method for nonlinear equations
Ju-Liang Zhang
,
Yong Wang
Math. Methods Oper. Res.
2003
Corpus ID: 30988337
Abstract.In this paper, a new trust region method for the system of nonlinear equations is presented in which the determining of…
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Highly Cited
1999
Highly Cited
1999
Superlinear and quadratic convergence of affine-scaling interior-point Newton methods for problems with simple bounds without strict complementarity assumption
M. Heinkenschloss
,
M. Ulbrich
,
S. Ulbrich
Mathematical programming
1999
Corpus ID: 2907572
Abstract.A class of affine-scaling interior-point methods for bound constrained optimization problems is introduced which are…
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1999
1999
Warm Start and ε-Subgradients in a Cutting Plane Scheme for Block-Angular Linear Programs
J. Gondizo
,
J. Vial
Computational optimization and applications
1999
Corpus ID: 3107374
This paper addresses the issues involved with an interior point-based decomposition applied to the solution of linear programs…
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Highly Cited
1999
Highly Cited
1999
A Trust-Region Approach to Nonlinear Systems of Equalities and Inequalities
J. Dennis
,
M. El-Alem
,
K. Williamson
SIAM Journal on Optimization
1999
Corpus ID: 207081827
In this paper, two new trust-region algorithms for the numerical solution of systems of nonlinear equalities and inequalities are…
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Highly Cited
1996
Highly Cited
1996
Robust process simulation using interval methods
C. Schnepper
,
M. Stadtherr
1996
Corpus ID: 121050191
1995
1995
Trust Region Algorithms for Solving Nonsmooth Equations
L. Qi
SIAM Journal on Optimization
1995
Corpus ID: 44288221
Two globally convergent trust region algorithms are presented for solving nonsmooth equations, where the functions are only…
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