scholarly journals A least-squares-based method for a class of nonsmooth minimization problems with applications in plasticity

1991 ◽  
Vol 24 (1) ◽  
pp. 273-288 ◽  
Author(s):  
Aharon Ben-Tal ◽  
Marc Teboulle ◽  
Wei H. Yang
Keyword(s):  
Least Squares ◽  
Minimization Problems ◽  
Nonsmooth Minimization

scholarly journals Smoothing approximations to nonsmooth optimization problems

1995 ◽  
Vol 36 (3) ◽  
pp. 274-285 ◽  
Author(s):  
X.Q. Yang
Keyword(s):  
Optimization Problems ◽  
Directional Derivative ◽  
Optimal Solution ◽  
Necessary Optimality Conditions ◽  
Second Order ◽  
Smooth Approximation ◽  
Minimization Problems ◽  
Second Order Directional Derivative ◽  
Nonsmooth Minimization ◽  
Original Objective

AbstractWe study certain types of composite nonsmooth minimization problems by introducing a general smooth approximation method. Under various conditions we derive bounds on error estimates of the functional values of original objective function at an approximate optimal solution and at the optimal solution. Finally, we obtain second-order necessary optimality conditions for the smooth approximation prob lems using a recently introduced generalized second-order directional derivative.

scholarly journals Descent gradient methods for nonsmooth minimization problems in ill-posed problems

2016 ◽  
Vol 298 ◽  
pp. 105-122 ◽  
Author(s):  
Pham Quy Muoi ◽  
Dinh Nho Hào ◽  
Peter Maass ◽  
Michael Pidcock
Keyword(s):  
Gradient Methods ◽  
Minimization Problems ◽  
Ill Posed ◽  
Nonsmooth Minimization

scholarly journals Bregman Proximal Gradient Algorithm With Extrapolation for a Class of Nonconvex Nonsmooth Minimization Problems

IEEE Access ◽  
2019 ◽  
Vol 7 ◽  
pp. 126515-126529
Author(s):  
Xiaoya Zhang ◽  
Roberto Barrio ◽  
M. Angeles Martinez ◽  
Hao Jiang ◽  
Lizhi Cheng
Keyword(s):  
Gradient Algorithm ◽  
Minimization Problems ◽  
Proximal Gradient Algorithm ◽  
Nonsmooth Minimization
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