Search for dissertations about: "Symmetric matrices"

Showing result 1 - 5 of 41 swedish dissertations containing the words Symmetric matrices.

  2. 1. Skew-symmetric matrix pencils : stratification theory and tools

    Author : Andrii Dmytryshyn; Bo Kågström; Umeå universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : Investigating the properties, explaining, and predicting the behaviour of a physical system described by a system (matrix) pencil often require the understanding of how canonical structure information of the system pencil may change, e.g., how eigenvalues coalesce or split apart, due to perturbations in the matrix pencil elements. READ MORE

  4. 2. Asymptotics of random matrices and matrix valued processes

    Author : Stefan Israelsson; Kurt Johansson; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; 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

  5. 3. Interlaced particles in tilings and random matrices

    Author : Eric Nordenstam; Kurt Johansson; Pierre van Moerbeke; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Interlaced particles; GUE; Anti-symmetric GUE; domino tilings; lozenge tilings; Algebra; geometry and mathematical analysis; Algebra; geometri och analys;

    Abstract : This thesis consists of three articles all relatedin some way to eigenvalues of random matrices and theirprincipal minors and also to tilings of various planar regions with dominoes or rhombuses.Consider an $N\times N$ matrix $H_N=[h_{ij}]_{i,j=1}^N$ from the Gaussian unitary ensemble (GUE). READ MORE

  6. 4. Finite Element Modelling of Fluid-Structure Interaction

    Author : Göran Sandberg; Byggnadsmekanik; []
    Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; Finite Element Method; Coupled problem; fluid-structure interaction; Transient; Acoustics; Caviation; Time Stepping; Symmetric; Nonlinear acoustics; Submerged structures; finite element method; Coupled problem; Fluid-structure interaction; Transient; Acoustics; Cavitation; Time Stepping; Symmetric; Nonlinear acoustics; Submerged structures;

    Abstract : The dynamic interaction between non-viscid, compressible fluid and an elastic structure is studied. Finte element formulations, using the weighted residual method, are derived. Different primary variables in the fluid domain are used and different source functions are considered. READ MORE

  7. 5. Tensor Products of Highest Weight Representations and Skew-Symmetric Matrix Equations A+B+C=0

    Author : Ida Säfström; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Highest weight respresentation; tensor product decomposition; orthogonal algebra; skew-symmetric matrix; Horn’s conjecture; moment map; coadjoint orbit; flag manifold; general linear algebra; infinite dimensional unitary representation; general linear algebra;

    Abstract : The question of characterizing the eigenvalues for the sum of two Hermitian matrices, was solved in 1999, after almost a century of efforts. The saturation conjecture for GL_C(n) was proven by Knutson and Tao, filling in the last gap in Horn’s conjecture. READ MORE