Nonlinear rescaling vs. smoothing technique in convex optimization

Roman A. Polyak

doi:10.1007/s101070100293

Nonlinear rescaling vs. smoothing technique in convex optimization

Mathematical Programming ◽

10.1007/s101070100293 ◽

2002 ◽

Vol 92 (2) ◽

pp. 197-235 ◽

Cited By ~ 33

Author(s):

Roman A. Polyak

Keyword(s):

Convex Optimization ◽

Smoothing Technique ◽

Nonlinear Rescaling

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Combining Lagrangian decomposition and excessive gap smoothing technique for solving large-scale separable convex optimization problems

Computational Optimization and Applications ◽

10.1007/s10589-012-9515-6 ◽

2012 ◽

Vol 55 (1) ◽

pp. 75-111 ◽

Cited By ~ 13

Author(s):

Quoc Tran Dinh ◽

Carlo Savorgnan ◽

Moritz Diehl

Keyword(s):

Convex Optimization ◽

Large Scale ◽

Optimization Problems ◽

Smoothing Technique ◽

Lagrangian Decomposition ◽

Convex Optimization Problems ◽

Separable Convex Optimization

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On the acceleration of the double smoothing technique for unconstrained convex optimization problems

Optimization ◽

10.1080/02331934.2012.745530 ◽

2012 ◽

Vol 64 (2) ◽

pp. 265-288 ◽

Cited By ~ 6

Author(s):

Radu Ioan Boţ ◽

Christopher Hendrich

Keyword(s):

Convex Optimization ◽

Optimization Problems ◽

Smoothing Technique ◽

Convex Optimization Problems ◽

Double Smoothing

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A double smoothing technique for solving unconstrained nondifferentiable convex optimization problems

Computational Optimization and Applications ◽

10.1007/s10589-012-9523-6 ◽

2012 ◽

Vol 54 (2) ◽

pp. 239-262 ◽

Cited By ~ 11

Author(s):

Radu Ioan Boţ ◽

Christopher Hendrich

Keyword(s):

Convex Optimization ◽

Optimization Problems ◽

Smoothing Technique ◽

Convex Optimization Problems ◽

Double Smoothing

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Double Smoothing Technique for Large-Scale Linearly Constrained Convex Optimization

SIAM Journal on Optimization ◽

10.1137/110826102 ◽

2012 ◽

Vol 22 (2) ◽

pp. 702-727 ◽

Cited By ~ 37

Author(s):

Olivier Devolder ◽

François Glineur ◽

Yurii Nesterov

Keyword(s):

Convex Optimization ◽

Large Scale ◽

Smoothing Technique ◽

Constrained Convex Optimization ◽

Linearly Constrained ◽

Double Smoothing ◽

Linearly Constrained Convex Optimization

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Nonlinear rescaling and proximal-like methods in convex optimization

Mathematical Programming ◽

10.1007/bf02614440 ◽

1997 ◽

Vol 76 (2) ◽

pp. 265-284 ◽

Cited By ~ 21

Author(s):

Roman Polyak ◽

Marc Teboulle

Keyword(s):

Convex Optimization ◽

Nonlinear Rescaling

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On a new smoothing technique for non-smooth, non-convex optimization

Numerical Algebra Control & Optimization ◽

10.3934/naco.2020004 ◽

2019 ◽

Vol 0 (0) ◽

pp. 0-0

Author(s):

Nurullah Yilmaz ◽

◽

Ahmet Sahiner

Keyword(s):

Convex Optimization ◽

Smoothing Technique

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Proximal point nonlinear rescaling method for convex optimization

Numerical Algebra Control & Optimization ◽

10.3934/naco.2011.1.283 ◽

2011 ◽

Vol 1 (2) ◽

pp. 283-299 ◽

Cited By ~ 1

Author(s):

Igor Griva ◽

◽

Roman A. Polyak ◽

Keyword(s):

Convex Optimization ◽

Proximal Point ◽

Nonlinear Rescaling

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Primal-Dual Nonlinear Rescaling Method for Convex Optimization

Journal of Optimization Theory and Applications ◽

10.1023/b:jota.0000041733.24606.99 ◽

2004 ◽

Vol 122 (1) ◽

pp. 111-156 ◽

Cited By ~ 22

Author(s):

R. Polyak ◽

I. Griva

Keyword(s):

Convex Optimization ◽

Nonlinear Rescaling ◽

Primal Dual

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Application of a Smoothing Technique to Decomposition in Convex Optimization

IEEE Transactions on Automatic Control ◽

10.1109/tac.2008.2007159 ◽

2008 ◽

Vol 53 (11) ◽

pp. 2674-2679 ◽

Cited By ~ 107

Author(s):

Ion Necoara ◽

Johan A. K. Suykens

Keyword(s):

Convex Optimization ◽

Smoothing Technique

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Nonlinear Rescaling as Interior Quadratic Prox Method in Convex Optimization

Computational Optimization and Applications ◽

10.1007/s10589-006-9759-0 ◽

2006 ◽

Vol 35 (3) ◽

pp. 347-373 ◽

Cited By ~ 3

Author(s):

Roman A. Polyak

Keyword(s):

Convex Optimization ◽

Nonlinear Rescaling

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