Weird Convex Cones and Geometric Properties of Ill-posed Conic Problems
|Affiliation:||Collaborative Research Network, Federation University Australia|
|Room:||Mathematics and Computer Building (MC) 5168|
I will present several results related to the structural properties of finite- dimensional convex cones. I will focus on a recently discovered example of a four-dimensional cone that is facially exposed, but not facially dual complete (or nice), that disproves an earlier conjecture that these two properties are equivalent, and on a dual characterization of generalized Goldman-Tucker partition for ill-posed feasibility problems on multifold cones.
200 University Avenue West
Waterloo, ON N2L 3G1