Search for dissertations about: "Multilinear algebra"

Found 5 swedish dissertations containing the words Multilinear algebra.

2. 1. Topics on Function Spaces and Multilinear Algebra

   Author : Mahdi Hormozi; Göteborgs universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES;

   Abstract : The present thesis consists of three different papers. Indeed, they treat two different research areas: function spaces and multilinear algebra. In paper I, a characterization of continuity of the $p$-$\Lambda$-variation function is given and Helly's selection principle for $\Lambda BV^{(p)}$ functions is established. READ MORE

4. 2. Topics on Harmonic analysis and Multilinear Algebra

   Author : Mahdi Hormozi; Göteborgs universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Generalized bounded variation; Helly s theorem; Modulus of variation; Generalized Wiener classes; Symmetry classes of tensors; Orthogonal basis; Brauer symmetry classes of tensors; Multilinear singular integrals; weighted norm inequalities; weighted bounds; local mean oscillation; Lerner s formula; Brauer symmetry classes of tensors;

   Abstract : The present thesis consists of six different papers. Indeed, they treat three different research areas: function spaces, singular integrals and multilinear algebra. In paper I, a characterization of continuity of the $p$-$\Lambda$-variation function is given and Helly's selection principle for $\Lambda BV^{(p)}$ functions is established. READ MORE

5. 3. Algorithms in data mining using matrix and tensor methods

   Author : Berkant Savas; Lars Eldén; Lieven De Lathauwer; Linköpings universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Volume; Minimization criterion; Determinant; Rank deficient matrix; Reduced rank regression; System identification; Rank reduction; Volume minimization; General algorithm; Handwritten digit classification; Tensors; Higher order singular value decomposition; Tensor approximation; Least squares; Tucker model; Multilinear algebra; Notation; Contraction; Tensor matricization; Newton s method; Grassmann manifolds; Product manifolds; Quasi-Newton algorithms; BFGS and L-BFGS; Symmetric tensor approximation; Local intrinsic coordinates; Global embedded coordinates; ; Numerical analysis; Numerisk analys;

   Abstract : In many fields of science, engineering, and economics large amounts of data are stored and there is a need to analyze these data in order to extract information for various purposes. Data mining is a general concept involving different tools for performing this kind of analysis. READ MORE

6. 4. Multivariable Orthogonal Polynomials as Coupling Coefficients for Lie and Quantum Algebra Representations

   Author : Hjalmar Rosengren; Matematik (naturvetenskapliga fakulteten); []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; higher order Hankel form; Wigner symbol; quadratic algebra; Clebsch-Gordan coefficient; quantum group; Lie group; highest weight representation; multivariable orthogonal and biorthogonal polynomials; multivariable hypergeometric and basic hypergeometric functions; algebraisk topologi; Geometry; Geometri; algebraic topology;

   Abstract : The main topic of the thesis is the connection between representation theory and special functions. We study matrix elements, coupling coefficient, and recoupling coefficients for the simplest Lie and quantum groups. READ MORE

7. 5. Aspects of multilinear algebra in statistical analysis of seasonal multivariate time series

   Author : Björn Holmquist; Statistiska institutionen; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES;

   Abstract : Representations of concepts from multivariate statistics are studied using multilinear algebra. Applications are given to the analysis of seasonal multivariate time series. The first paper concerns a class of permutation matrices which are representations of permutation operators on tensor spaces. READ MORE