Search for dissertations about: "skew-symmetric matrix"

Found 4 swedish dissertations containing the words skew-symmetric matrix.

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

    University dissertation from Umeå : Umeå universitet

    Author : Andrii Dmytryshyn; Umeå universitet.; Örebro universitet.; [2014]
    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

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

    University dissertation from Göteborg : University of Gothenburg

    Author : Ida Säfström; Göteborgs universitet.; Gothenburg University.; [2010]
    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;

    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

  3. 3. Exercising Mathematical Competence: Practising Representation Theory and Representing Mathematical Practice

    University dissertation from Göteborg : University of Gothenburg

    Author : Anna Ida Säfström; Göteborgs universitet.; Gothenburg University.; [2013]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematical competence; exercising competencies; young children; whole number arithmetic; tertiary level; proving; highest weight representation; tensor product decomposition; skew-symmetric matrix; moment map; infinite dimensional unitary representation;

    Abstract : This thesis assembles two papers in mathematics and two papers in mathematics education. In the mathematics part, representation theory is practised. Two Clebsch-Gordan type problems are addressed. READ MORE

  4. 4. Tools for Structured Matrix Computations Stratifications and Coupled Sylvester Equations

    University dissertation from Umeå : Umeå universitet

    Author : Andrii Dmytryshyn; Umeå universitet.; [2015]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : Developing theory, algorithms, and software tools for analyzing matrix pencils whose matrices have various structures are contemporary research problems. Such matrices are often coming from discretizations of systems of differential-algebraic equations. READ MORE