Combining Trust Region and Affine Scaling for Linearly Constrained Nonconvex Minimization

Applied Optimization - Advances in Nonlinear Programming ◽

10.1007/978-1-4613-3335-7_10 ◽

1998 ◽

pp. 219-250 ◽

Author(s):

Thomas F. Coleman ◽

Yuying Li

Keyword(s):

Trust Region ◽

Affine Scaling ◽

Nonconvex Minimization ◽

Linearly Constrained

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Global and local convergence of a new affine scaling trust region algorithm for linearly constrained optimization

Acta Mathematica Sinica English Series ◽

10.1007/s10114-016-4513-8 ◽

2016 ◽

Vol 32 (10) ◽

pp. 1203-1213 ◽

Author(s):

Chao Gu ◽

De Tong Zhu

Keyword(s):

Constrained Optimization ◽

Local Convergence ◽

Trust Region ◽

Affine Scaling ◽

Linearly Constrained Optimization ◽

Trust Region Algorithm ◽

Linearly Constrained ◽

Global And Local

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A trust-region and affine scaling algorithm for linearly constrained optimization

Science in China Series A Mathematics ◽

10.1007/bf02880033 ◽

2002 ◽

Vol 45 (11) ◽

pp. 1390-1397 ◽

Author(s):

Chen Zhongwen ◽

Zhang Xiangsun

Keyword(s):

Constrained Optimization ◽

Trust Region ◽

Affine Scaling ◽

Linearly Constrained Optimization ◽

Affine Scaling Algorithm ◽

Linearly Constrained

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Trust region affine scaling algorithms for linearly constrained convex and concave programs

Mathematical Programming ◽

10.1007/bf01581170 ◽

1998 ◽

Vol 80 (3) ◽

pp. 283-313 ◽

Author(s):

Renato D. C. Monteiro ◽

Yanhui Wang

Keyword(s):

Trust Region ◽

Affine Scaling ◽

Linearly Constrained ◽

Concave Programs ◽

Scaling Algorithms

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A trust region and affine scaling interior point method for nonconvex minimization with linear inequality constraints

Mathematical Programming ◽

10.1007/pl00011369 ◽

2000 ◽

Vol 88 (1) ◽

pp. 1-31 ◽

Author(s):

Thomas F. Coleman ◽

Yuying Li

Keyword(s):

Interior Point ◽

Interior Point Method ◽

Linear Inequality ◽

Trust Region ◽

Inequality Constraints ◽

Point Method ◽

Affine Scaling ◽

Nonconvex Minimization ◽

Linear Inequality Constraints

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A Proximal Alternating Direction Method of Multiplier for Linearly Constrained Nonconvex Minimization

SIAM Journal on Optimization ◽

10.1137/19m1242276 ◽

2020 ◽

Vol 30 (3) ◽

pp. 2272-2302

Author(s):

Jiawei Zhang ◽

Zhi-Quan Luo

Keyword(s):

Alternating Direction Method ◽

Nonconvex Minimization ◽

Alternating Direction ◽

Linearly Constrained ◽

Proximal Alternating Direction Method

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Partial Affine-Scaling for Linearly Constrained Minimization

Mathematics of Operations Research ◽

10.1287/moor.20.3.678 ◽

1995 ◽

Vol 20 (3) ◽

pp. 678-694 ◽

Author(s):

Paul Tseng

Keyword(s):

Constrained Minimization ◽

Affine Scaling ◽

Linearly Constrained

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Global Convergence of a a of Trust-Region Methods for Nonconvex Minimization in Hilbert Space

IMA Journal of Numerical Analysis ◽

10.1093/imanum/8.2.231 ◽

1988 ◽

Vol 8 (2) ◽

pp. 231-252 ◽

Author(s):

PH. L. TOINT

Keyword(s):

Hilbert Space ◽

Global Convergence ◽

Trust Region ◽

Trust Region Methods ◽

Nonconvex Minimization

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A Regularized Affine-Scaling Trust-Region Method for Parametric Imaging of Dynamic PET Data

SIAM Journal on Imaging Sciences ◽

10.1137/20m1336370 ◽

2021 ◽

Vol 14 (1) ◽

pp. 418-439

Author(s):

S. Crisci ◽

M. Piana ◽

V. Ruggiero ◽

M. Scussolini

Keyword(s):

Trust Region Method ◽

Trust Region ◽

Affine Scaling ◽

Parametric Imaging ◽

Dynamic Pet ◽

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A Trust Region Method for Finding Second-Order Stationarity in Linearly Constrained Nonconvex Optimization

SIAM Journal on Optimization ◽

10.1137/19m1256415 ◽

2020 ◽

Vol 30 (3) ◽

pp. 2501-2529

Author(s):

Maher Nouiehed ◽

Meisam Razaviyayn

Keyword(s):

Nonconvex Optimization ◽

Trust Region Method ◽

Trust Region ◽

Second Order ◽

Region Method ◽

Linearly Constrained

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An Affine Scaling Interior Trust-Region Algorithm Combining Backtracking Line Search with Filter Technique for Nonlinear Constrained Optimization

Numerical Functional Analysis and Optimization ◽

10.1080/01630563.2015.1043371 ◽

2015 ◽

Vol 36 (8) ◽

pp. 1046-1066 ◽

Author(s):

Yonggang Pei ◽

Detong Zhu

Keyword(s):

Constrained Optimization ◽

Line Search ◽

Trust Region ◽

Affine Scaling ◽

Nonlinear Constrained Optimization ◽

Trust Region Algorithm ◽

Filter Technique ◽

Backtracking Line Search

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