scholarly journals Second-Order-Cone Constraints for Extended Trust-Region Subproblems

2013 ◽  
Vol 23 (1) ◽  
pp. 432-451 ◽  
Author(s):  
Samuel Burer ◽  
Kurt M. Anstreicher
Keyword(s):  
Trust Region ◽  
Second Order ◽  
Cone Constraints ◽  
Second Order Cone ◽  
Trust Region Subproblems

scholarly journals Efficient Solutions of Interval Programming Problems with Inexact Parameters and Second Order Cone Constraints

Mathematics ◽  
2018 ◽  
Vol 6 (11) ◽  
pp. 270
Author(s):  
Ali Sadeghi ◽  
Mansour Saraj ◽  
Nezam Amiri
Keyword(s):  
Objective Function ◽  
Main Idea ◽  
Efficient Solutions ◽  
Second Order ◽  
Interval Programming ◽  
Properly Efficient Solutions ◽  
Cone Constraints ◽  
Second Order Cone ◽  
Convexity Properties ◽  
Interval Valued

In this article, a methodology is developed to solve an interval and a fractional interval programming problem by converting into a non-interval form for second order cone constraints, with the objective function and constraints being interval valued functions. We investigate the parametric and non-parametric forms of the interval valued functions along with their convexity properties. Two approaches are developed to obtain efficient and properly efficient solutions. Furthermore, the efficient solutions or Pareto optimal solutions of fractional and non-fractional programming problems over R + n ⋃ { 0 } are also discussed. The main idea of the present article is to introduce a new concept for efficiency, called efficient space, caused by the lower and upper bounds of the respective intervals of the objective function which are shown in different figures. Finally, some numerical examples are worked through to illustrate the methodology and affirm the validity of the obtained results.

A novel multi-class SVM model using second-order cone constraints

2015 ◽  
Vol 44 (2) ◽  
pp. 457-469 ◽  
Author(s):  
Julio López ◽  
Sebastián Maldonado ◽  
Miguel Carrasco
Keyword(s):  
Second Order ◽  
Cone Constraints ◽  
Second Order Cone ◽  
Svm Model
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