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Bryant showed that in a space of constant sectional curvature - c2 (for c ∈ R ), there is a representation for surfaces which have constant mean curvature equal to c, abbreviated as CMC c, which is analogous to ...
Reoptimization in interior-point methods with application to integer programming
This thesis examines current reoptimization techniques for interior-point methods available in the literature and studies their efficacy in a branch-and-bound framework for 0/1 mixed integer programming problems. This work ...
Generalized billiard paths and Morse theory for manifolds with corners
A billiard path on a manifold M embedded in Euclidean space is a series of line segments connecting reflection points on M. In a generalized billiard path we also allow the path to pass through M. The two segments at a ...
Inverse spectral problems with incomplete knowledge of the spectrum
To solve an inverse spectral problem, we try to discover an operator of a certain form that has a prescribed spectrum. In this thesis we proceed in two different settings, both times considering the potential function as ...