Now showing items 1-10 of 11
Techniques for solving Nonlinear Programming Problems with Emphasis on Interior Point Methods and Optimal Control Problems
The primary focus of this work is a thorough research into the current available techniques for solving nonlinear programming problems. Emphasis is placed on interior-point methods and the connection between optimal ...
Spectral Families and Geometry Of Banach Spaces
The principal objects of study in this thesis are arbitrary spectral families, E, on a complex Banach space X. The central theme is the relationship between the geometry of X and the p-variation of E. We show that provided ...
Advances in Interior Point Methods for Large-Scale Linear Programming
This research studies two computational techniques that improve the practical performance of existing implementations of interior point methods for linear programming. Both are based on the concept of symmetric neighbourhood ...
Numerical Approximations of Stochastic Optimal Stopping and Control Problems
We study numerical approximations for the payoff function of the stochastic optimal stopping and control problem. It is known that the payoff function of the optimal stopping and control problem corresponds to the solution ...
Nonzero depolarization volumes in electromagnetic homogenization studies
The work of this thesis concerns depolarization regions in the homogenization of random, particulate composites. In conventional approaches to homogenization, the depolarization dyadics which represent the component phase ...
Using Interior Point Methods for Large-scale Support Vector Machine training
(The University of Edinburgh, 2010)
Support Vector Machines (SVMs) are powerful machine learning techniques for classification and regression, but the training stage involves a convex quadratic optimization program that is most often computationally ...
Matricial norm structures and inequalities for the Schatten p-ideals
(University of Edinburgh, 1996)
Geometric and Non-Geometric Backgrounds of String Theory
(The University of Edinburgh, 2008)
This thesis explores the geometry of string theory backgrounds and the nongeometric features of string theory that arise due to T-duality. For this reason, it is divided into two complementary parts. Part I deals with ...
Matrix near-rings and generalized-distributivity.
(University of Edinburgh, 1989)
Large sample tests of identification and specification in the linear simultaneous equations model.
(University of Edinburgh, 1983)