Search for dissertations about: "matrices mathematics"

Showing result 1 - 5 of 108 swedish dissertations containing the words matrices mathematics.

  2. 1. Generalized Vandermonde matrices and determinants in electromagnetic compatibility

    Author : Karl Lundengård; Sergei Silvestrov; Dietrich von Rosen; Mälardalens högskola; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; Mathematics Applied Mathematics; matematik tillämpad matematik;

    Abstract : Matrices whose rows (or columns) consists of monomials of sequential powers are called Vandermonde matrices and can be used to describe several useful concepts and have properties that can be helpful for solving many kinds of problems. In this thesis we will discuss this matrix and some of its properties as well as a generalization of it and how it can be applied to curve fitting discharge current for the purpose of ensuring electromagnetic compatibility. READ MORE

  4. 2. Extreme points of the Vandermonde determinant in numerical approximation, random matrix theory and financial mathematics

    Author : Asaph Keikara Muhumuza; Sergei Silvestrov; Anatoliy Malyarenko; Karl Lundengård; Milica Rancic; Olga Liivapuu; Mälardalens högskola; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; Mathematics Applied Mathematics; matematik tillämpad matematik;

    Abstract : This thesis discusses the extreme points of the Vandermonde determinant on various surfaces, their applications in numerical approximation, random matrix theory and financial mathematics. Some mathematical models that employ these extreme points such as curve fitting, data smoothing, experimental design, electrostatics, risk control in finance and method for finding the extreme points on certain surfaces are demonstrated. READ MORE

  5. 3. Asymptotics of random matrices and matrix valued processes

    Author : Stefan Israelsson; Kurt Johansson; Uppsala universitet; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; Mathematics; Random matrices; singular interaction; spectral distribution; fluctuation limit; distribution valued processes; MATEMATIK; MATHEMATICS; MATEMATIK; matematisk statistik; Mathematical Statistics;

    Abstract : This thesis contains three parts. In the first two papers we consider spectral properties of symmetric matrices with elements consisting of independent Ornstein Uhlenbeck processes. The eigenvalues behave as a particle system on the real line with singular interaction consisting of electrostatic repulsion and a linear restoring force. READ MORE

  6. 4. On the ring of commuting matrices

    Author : Freyja Hreinsdóttir; Ragnar Buchweitz; Stockholms universitet; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; MATHEMATICS; MATEMATIK; matematik; Mathematics;

    Abstract : .... READ MORE

  7. 5. Matrix-Less Methods for Computing Eigenvalues of Large Structured Matrices

    Author : Sven-Erik Ekström; Maya Neytcheva; Stefano Serra-Capizzano; Carlo Garoni; Lothar Reichel; Uppsala universitet; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; Toeplitz matrices; eigenvalues; eigenvalue asymptotics; polynomial interpolation; extrapolation; generating function and spectral symbol; Beräkningsvetenskap med inriktning mot numerisk analys; Scientific Computing with specialization in Numerical Analysis;

    Abstract : When modeling natural phenomena with linear partial differential equations, the discretized system of equations is in general represented by a matrix. To solve or analyze these systems, we are often interested in the spectral behavior of these matrices. READ MORE