Normal Fans of Polyhedral Convex Sets

2008 ◽  
Vol 16 (2-3) ◽  
pp. 281-305 ◽  
Author(s):  
Shu Lu ◽  
Stephen M. Robinson
Keyword(s):  
Convex Sets ◽  
Polyhedral Convex ◽  
Polyhedral Convex Sets

Outer approximation by polyhedral convex sets

OR Spectrum ◽  
1987 ◽  
Vol 9 (3) ◽  
pp. 153-159 ◽  
Author(s):  
R. Horst ◽  
Ng. V. Thoai ◽  
H. Tuy
Keyword(s):  
Convex Sets ◽  
Outer Approximation ◽  
Polyhedral Convex ◽  
Polyhedral Convex Sets

scholarly journals A ``hidden'' characterization of approximatively polyhedral convex sets in Banach spaces

2012 ◽  
Vol 210 (2) ◽  
pp. 137-157
Author(s):  
Taras Banakh ◽  
Ivan Hetman
Keyword(s):  
Banach Spaces ◽  
Convex Sets ◽  
Polyhedral Convex ◽  
Polyhedral Convex Sets

scholarly journals On two problems over polyhedral convex sets

2015 ◽  
Vol 1 (1) ◽  
pp. 9-15
Author(s):  
Tran Vu Thieu
Keyword(s):  
Convex Sets ◽  
Convex Set ◽  
Linear Constraints ◽  
Concave Programming ◽  
Linear Equality ◽  
Polyhedral Convex ◽  
Polyhedral Convex Sets ◽  
Polyhedral Convex Set

In this paper, we are concerned with the following two problems often encountered in concave programming: Given the  vertices and extreme detections of a polyhedral convex set Modefined by a system of linear constraints, determine the vertices and  extreme directions of the polyhedral convex set  obtained from M just by adding one new linear equality (or inequality) constraint.Among the constraints of a given polyhedral convex set, find those which are redundant, i.e. which can be removed without affecting the polyhedral convex set.

scholarly journals A ``hidden'' characterization of polyhedral convex sets

2011 ◽  
Vol 206 (1) ◽  
pp. 63-74
Author(s):  
Taras Banakh ◽  
Ivan Hetman
Keyword(s):  
Convex Sets ◽  
Polyhedral Convex ◽  
Polyhedral Convex Sets
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