Sökning: "Eigenvalue distribution"

Visar resultat 1 - 5 av 15 avhandlingar innehållade orden Eigenvalue distribution.

  1. 1. Contributions to High–Dimensional Analysis under Kolmogorov Condition

    Författare :Jolanta Maria Pielaszkiewicz; Dietrich von Rosen; Martin Singul; Thomas Holgersson; Linköpings universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Eigenvalue distribution; free moments; free Poisson law; Marchenko-Pastur law; random matrices; spectral distribution; Wishart matrix; Mathematics; Matematik;

    Sammanfattning : This thesis is about high–dimensional problems considered under the so{called Kolmogorov condition. Hence, we consider research questions related to random matrices with p rows (corresponding to the parameters) and n columns (corresponding to the sample size), where p > n, assuming that the ratio  converges when the number of parameters and the sample size increase. LÄS MER

  3. 2. Eigenfrequency Analysis FE-Adaptivity and a Nonlinear Eigenproblem Algorithm

    Författare :Patrik Hager; Chalmers tekniska högskola; []
    Nyckelord :TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; nonlinear eigenvalue; finite element; adaptivity; superconvergent patch recovery; rational krylov;

    Sammanfattning : Engineering often pose the problem of computing the frequencies with which a system oscillates and the corresponding displacement patterns the system forms, and in case damping is present then the rates of which the amplitudes of the displacement patterns decay are also required. It is necessary to compute these quantities within a prescribed accuracy and the effort required for the computations should be minimised. LÄS MER

  4. 3. Some numerical and analytical methods for equations of wave propagation and kinetic theory

    Författare :Eva Mossberg; Alexander Bobylev; Giovanni Russo; Karlstads universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; wave propagation; finite difference metods high order methods; Landau-Fokker-Planck equation; Monte-Carlo simulations; Boltzmann equation; hard sphere model; eigenvalue problem; MATHEMATICS; MATEMATIK; Matematik; Mathematics;

    Sammanfattning : This thesis consists of two different parts, related to two different fields in mathematical physics: wave propagation and kinetic theory of gases. Various mathematical and computational problems for equations from these areas are treated. LÄS MER

  5. 4. Distributed Detection in Cognitive Radio Networks

    Författare :Ahti Ainomäe; Mats Bengtsson; Tõnu Trump; Olav Tirkkonen; KTH; []
    Nyckelord :TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; Cognitive Radio; distributed estimation; distributed detection; Diffusion LMS; Diffusion Networks; Adaptive Networks; Spectrum Sensing; Energy Detection; Random Matrix; Largest Eigenvalue Detection.; Electrical Engineering; Elektro- och systemteknik;

    Sammanfattning : One of the problems with the modern radio communication is the lack of availableradio frequencies. Recent studies have shown that, while the available licensed radiospectrum becomes more occupied, the assigned spectrum is significantly underutilized. LÄS MER

  7. 5. Some asymptotic results in dependence modelling

    Författare :Jens Svensson; Boualem Djehiche; Allan Gut; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematical statistics; Matematisk statistik;

    Sammanfattning : This thesis consists of two papers, both devoted to the study of asymptotics in dependence modelling. The first paper studies large deviation probabilities for a sum of dependent random variables, where the dependence stems from a few underlying random variables, so-called factors. LÄS MER