Augmented Lagrangians which are quadratic in the multiplier

1980 ◽  
Vol 31 (1) ◽  
pp. 17-26 ◽  
Author(s):  
P. T. Boggs ◽  
J. W. Tolle
Keyword(s):  
Augmented Lagrangians

Local Saddle Points Theory of a New Augmented Lagrangians

2010 ◽  
Vol 121-122 ◽  
pp. 123-127
Author(s):  
Wen Ling Zhao ◽  
Jing Zhang ◽  
Jin Chuan Zhou
Keyword(s):  
Saddle Point ◽  
Augmented Lagrangian ◽  
Saddle Points ◽  
Optimal Solution ◽  
Inequality Constraints ◽  
Lagrangian Function ◽  
Augmented Lagrangians ◽  
Augmented Lagrangian Function ◽  
Primal Problem ◽  
Local Optimal Solution

In connection with Problem (P) with both the equality constraints and inequality constraints, we introduce a new augmented lagrangian function. We establish the existence of local saddle point under the weaker sufficient second order condition, discuss the relationships between local optimal solution of the primal problem and local saddle point of the augmented lagrangian function.

Addressing the greediness phenomenon in Nonlinear Programming by means of Proximal Augmented Lagrangians

2009 ◽  
Vol 46 (2) ◽  
pp. 229-245 ◽  
Author(s):  
Emerson V. Castelani ◽  
André L. M. Martinez ◽  
J. M. Martínez ◽  
B. F. Svaiter
Keyword(s):  
Nonlinear Programming ◽  
Augmented Lagrangians
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