Sökning: "convex sets"

Visar resultat 6 - 10 av 31 avhandlingar innehållade orden convex sets.

1. 6. On the Extension and Wedge Product of Positive Currents

   Författare :Ahmad Khalid Al Abdulaali; Jan-Erik Björk; Hassine El Mir; Stockholms universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Closed positive currents; plurisubharmonic currents; plurisubharmonic functions; pluripolar sets; k-convex functions; wedge product of currents; Mathematics; matematik;

   Sammanfattning : This dissertation is concerned with extensions and wedge products of positive currents. Our study can be considered as a generalization for classical works done earlier in this field. Paper I deals with the extension of positive currents across different types of sets. LÄS MER

3. 7. Envelopes of holomorphy for bounded holomorphic functions

   Författare :Ulf Backlund; Umeå universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; holomorphicfunction; boundedholomorphic function; domain of holo¬ morphy; envelope of holomorphy; Gleason’s problem; convex set; plurisubharmonic function; pluripolar set; poly normally convex set;

   Sammanfattning : 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. LÄS MER

4. 8. Minkowski Measure of Asymmetry and Minkowski Distance for Convex Bodies

   Författare :Qi Guo; Sten Kaijser; Marek Lassak; Uppsala universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematical analysis; Matematisk analys; Mathematical analysis; Analys;

   Sammanfattning : This thesis consists of four papers about the Minkowski measure of asymmetry and the Minkowski (or Banach-Mazur) distance for convex bodies.We relate these two quantities by giving estimates for the Minkowski distance in terms of the Minkowski measure. LÄS MER

5. 9. Convergence Analysis and Improvements for Projection Algorithms and Splitting Methods

   Författare :Mattias Fält; Institutionen för reglerteknik; []
   Nyckelord :TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; First-order methods; Convex Optimization; Nonsmooth Optimization; Large-scale Optimization; Iterative Methods; Douglas-Rachford splitting; Line Search;

   Sammanfattning : Non-smooth convex optimization problems occur in all fields of engineering. A common approach to solving this class of problems is proximal algorithms, or splitting methods. These first-order optimization algorithms are often simple, well suited to solve large-scale problems and have a low computational cost per iteration. LÄS MER

7. 10. Wireless Sensor Network Positioning Techniques

   Författare :Mohammad Reza Gholami; Chalmers tekniska högskola; []
   Nyckelord :TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; outer-approximations; Cram; Wireless sensor network; nonlinear and linear least squares; cooperative positioning; projection onto convex sets; maximum likelihood esti- mator;

   Sammanfattning : Position information is one of the key requirements for wireless sensor networks(WSNs). Since GPS receivers have drawbacks when used in low-power sensor nodes,mainly due to latency in position recovery and limited access to GPS satellites in indoor-type scenarios, extracting the position information by means of the network itself, so-called positioning or localization, has been considered an eective solution for the posi-tioning problem. LÄS MER