Search for dissertations about: "interior-point methods"

Showing result 1 - 5 of 22 swedish dissertations containing the words interior-point methods.

  2. 1. Approaches to accelerate methods for solving systems of equations arising in nonlinear optimization

    Author : David Ek; Anders Forsgren; Jacek Gondzio; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Nonlinear optimization; mathematical programming; interior-point methods; approximate solutions to systems of linear equations; method of conjugate gradients; quasi-Newton methods; modified Newton methods; Ickelinjär optimering; matematisk programmering; inre-punktsmetoder; approximativa lösningar till linjära ekvationssystem; konjugerade gradientmetoden; kvasi-Newtonmetoder; modifierade Newtonmetoder.; Optimization and Systems Theory; Optimeringslära och systemteori;

    Abstract : Methods for solving nonlinear optimization problems typically involve solving systems of equations. This thesis concerns approaches for accelerating some of those methods. In our setting, accelerating involves finding a trade-off between the computational cost of an iteration and the quality of the computed search direction. READ MORE

  4. 2. A Structure Utilizing Inexact : Primal-Dual Interior-Point Method for Analysis of Linear Differential Inclusions

    Author : Janne Harju Johansson; Anders Hansson; Ulf Jönsson; Linköpings universitet; []
    Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; Automatic control; Optimization; systems theory; Automatic control; Reglerteknik;

    Abstract : The ability to analyze system properties for large scale systems is an important part of modern engineering. Although computer power increases constantly, there is still need to develop tailored methods that are able to handle large scale systems, since sometimes standard methods cannot handle the large scale problems that occur. READ MORE

  5. 3. On design of low order H-infinity controllers

    Author : Daniel Ankelhed; Anders Hansson; Anders Helmersson; Jakob Stoustrup; Linköpings universitet; []
    Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; H-infinity synthesis; linear systems; linear matrix inequalities; rank constraints; optimization; rational constraints; interior point methods; Automatic control; Reglerteknik;

    Abstract : When designing controllers with robust performance and stabilization requirements, H-infinity synthesis is a common tool to use. These controllers are often obtained by solving mathematical optimization problems. The controllers that result from these algorithms are typically of very high order, which complicates implementation. READ MORE

  6. 4. On low order controller synthesis using rational constraints

    Author : Daniel Ankelhed; Anders Hansson; Anders Helmersson; Anders Forsgren; Linköpings universitet; []
    Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; H-infinity synthesis; Linear Matrix Inequalities; rank constraints; polynomial constraints; interior point methods; Automatic control; Reglerteknik;

    Abstract : In order to design robust controllers, H-infinity synthesis is a common tool to use. The controllers that result from these algorithms are typically of very high order, which complicates implementation. READ MORE

  7. 5. Automated radiation therapy treatment planning by increased accuracy of optimization tools

    Author : Lovisa Engberg; Anders Forsgren; Marina A. Epelman; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Optimization; intensity-modulated radiation therapy; radiation therapy treatment planning; automated radiation therapy treatment planning; interior-point methods; Optimering; intensitetsmodulerad strålbehandling; dosplanering; automatiserad dosplanering; inrepunktsmetoder; Mathematics; Matematik;

    Abstract : Every radiation therapy treatment is preceded by a treatment planning phase. In this phase, a treatment plan that specifies exactly how to irradiate the patient is designed by the treatment planner. READ MORE