Browsing Theses by Author "Myklebust, Tor Gunnar Josefsson Jay"
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Geometry of convex sets arising from hyperbolic polynomials
Myklebust, Tor Gunnar Josefsson Jay (University of Waterloo, 2008-09-09)This thesis focuses on convex sets and convex cones defined using hyperbolic polynomials. We first review some of the theory of convex sets in $\R^d$ in general. We then review some classical algebraic theorems concerning ... -
On primal-dual interior-point algorithms for convex optimisation
Myklebust, Tor Gunnar Josefsson Jay (2015-09-29)This thesis studies the theory and implementation of interior-point methods for convex optimisation. A number of important problems from mathematics and engineering can be cast naturally as convex optimisation ... -
On primal-dual interior-point algorithms for convex optimisation
Myklebust, Tor Gunnar Josefsson Jay (2015-09-25)This thesis studies the theory and implementation of interior-point methods for convex optimisation. A number of important problems from mathematics and engineering can be cast naturally as convex optimisation ...