Sökning: "convex sets"

Visar resultat 11 - 15 av 31 avhandlingar innehållade orden convex sets.

  1. 11. The Use of Landweber Algorithm in Image Reconstruction

    Författare :Touraj Nikazad; Tommy Elfving; George Baravdish; Linköpings universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; convex feasibility; projection methods; simultaneous algorithms; iterative methods; stopping rules; semi-convergence; Numerical analysis; Numerisk analys;

    Sammanfattning : Ill-posed sets of linear equations typically arise when discretizing certain types of integral transforms. A well known example is image reconstruction, which can be modelled using the Radon transform. After expanding the solution into a finite series of basis functions a large, sparse and ill-conditioned linear system arises. LÄS MER

  3. 12. Convexity, Currents, and Lelong numbers

    Författare :Aron Lagerberg; Göteborgs universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; complex analysis; convex analysis; currents; Lelong numbers; tropical geometry; L^2-estaimtes; Legendre transform; intersection theory; real Monge-Ampere operators; plurisubharmonic functions; integrability index; L^2-estaimtes;

    Sammanfattning : This thesis treats different aspects of convexity, both real and complex. On the real side, we study convexity in relation with certain currents. On the complex side, we study the singularities of plurisubharmonic functions. LÄS MER

  4. 13. Some Applications of Integral Formulas in Several Complex Variables

    Författare :Jörgen Boo; Göteborgs universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : The thesis gives three examples of how integral formulas can be used in complex analysis. We say that a set S in Cn is quadratically convex if through any point in its complement there is a quadratic hypersurface that does not intersect S. LÄS MER

  5. 14. A study of the operation of infimal convolution

    Författare :Thomas Strömberg; Luleå tekniska universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Matematik; Mathematics;

    Sammanfattning : This thesis consists of five papers (A-E), which examine the operation of infimal convolution and discuss its close connections to unilateral analysis, convex analysis, inequalities, approximation, and optimization. In particular, we attempt to provide a detailed investigation for both the convex and the non-convex case, including several examples. LÄS MER

  7. 15. Control of Constrained Dynamical Systems with Performance Guarantees: With Application to Vehicle motion Control

    Författare :Ankit Gupta; Chalmers tekniska högskola; []
    Nyckelord :TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; Linear matrix inequalities; Robust control; Invariant set; Semi-definite program; Linear parameter varying system; Linear fractional transformation;

    Sammanfattning : In control engineering, models of the system are commonly used for controller design. A standard control design problem consists of steering the given system output (or states) towards a predefined reference. Such a problem can be solved by employing feedback control strategies. LÄS MER