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Showing result 1 - 5 of 8 swedish dissertations matching the above criteria.
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1. Skew-symmetric matrix pencils : stratification theory and tools
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
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2. Tensor Products of Highest Weight Representations and Skew-Symmetric Matrix Equations A+B+C=0
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
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3. Exercising Mathematical Competence: Practising Representation Theory and Representing Mathematical Practice
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
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4. Tensor products of highest weight representations and skew-symmetric matrix equations A+B+C=0
Abstract : .... READ MORE
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5. Tools for Structured Matrix Computations : Stratifications and Coupled Sylvester Equations
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