Search for dissertations about: "convex"
Showing result 11 - 15 of 333 swedish dissertations containing the word convex.
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11. A convex optimization approach to complexity constrained analytic interpolation with applications to ARMA estimation and robust control
Abstract : Analytical interpolation theory has several applications in systems and control. In particular, solutions of low degree, or more generally of low complexity, are of special interest since they allow for synthesis of simpler systems. READ MORE
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12. Non-Convex Methods for Compressed Sensing and Low-Rank Matrix Problems
Abstract : In this thesis we study functionals of the type \( \mathcal{K}_{f,A,\b}(\x)= \mathcal{Q}(f)(\x) + \|A\x - \b \| ^2 \), where \(A\) is a linear map, \(\b\) a measurements vector and \( \mathcal{Q} \) is a functional transform called \emph{quadratic envelope}; this object is a very close relative of the \emph{Lasry-Lions envelope} and its use is meant to regularize the functionals \(f\). Carlsson and Olsson investigated in earlier works the connections between the functionals \( \mathcal{K}_{f,A,\b}\) and their unregularized counterparts \(f(\x) + \|A\x - \b \| ^2 \). READ MORE
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13. Envelopes of holomorphy for bounded holomorphic functions
Abstract : Some problems concerning holomorphic continuation of the class of bounded holomorphic functions from bounded domains in Cn that are domains of holomorphy are solved. A bounded domain of holomorphy Ω in C2 with nonschlicht H°°-envelope of holomorphy is constructed and it is shown that there is a point in D for which Gleason’s Problem for H°°(Ω) cannot be solved. READ MORE
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14. Optimization of Maintenance Planning for Multi-Component Systems, and Primal-Dual Convergence Characterizations in Convex Optimization
Abstract : This thesis considers two topics within mathematical programming. The first topic is an investigation into the behaviour of primal-dual subgradient algorithms with primal ergodic averaging in the case where it is not known a priori whether the primal program is consistent or not. READ MORE
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15. Point processes and convex sets : applications in fatigue
Abstract : .... READ MORE