Strict convex regularizations, proximal points and augmented lagrangians

2000 ◽  
Vol 34 (3) ◽  
pp. 283-303 ◽  
Author(s):  
Carlos Humes Jr. ◽  
Paulo Jose Da Silva E Silva
2010 ◽  
Vol 121-122 ◽  
pp. 123-127
Author(s):  
Wen Ling Zhao ◽  
Jing Zhang ◽  
Jin Chuan Zhou

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.


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

HortScience ◽  
2010 ◽  
Vol 45 (6) ◽  
pp. 887-893 ◽  
Author(s):  
Yuval Cohen ◽  
Stanley Freeman ◽  
Aida Zveibil ◽  
Rachel Ben Zvi ◽  
Yaakov Nakache ◽  
...  

Severe damage has been observed in Israeli date palm (Phoenix dactylifera L.) plantations of the Medjool cultivar as a result of drying and dropping of fruit bunches. Both fractures and rot occurred during peduncle (fruit stalk) development at proximal points located deep within the crown. The phenomenon has been previously described as “cross–cut” or “V-cut.” The present study aimed to characterize the phenomenon and identify the main causal factors. Annual surveys have revealed high levels of fruit bunch drop in all ‘Medjool’ cultivation areas in Israel. Arenipses sabella and other insects were only occasionally detected in the damaged fruit stalks. Similar damage levels observed in insecticide-treated and untreated plots suggested that insects were not directly responsible for this phenomenon. Tissue decay was detected in many of the freshly fallen fruit stalks. The pathogenic fungus, Fusarium proliferatum, was detected in most of the necrotic fruit stalks. Fusarium proliferatum isolates from infected fruit stalks generated necrotic lesions in fruit stalk tissue in vitro. However, fungicide treatments on trees in the orchards were ineffective in reducing bunch drop. On the other hand, restraining the growth rate of the fruit stalk, by reducing irrigation levels (to 20%) during the period of fruit stalk development and growth, significantly reduced bunch drop levels in most of the examined plots. These data suggest that bunch drop in ‘Medjool’ date palm is caused mainly by physiological disorders related to fruit stalk development and growth.


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