Sökning: "Multilinear algebra"
Hittade 5 avhandlingar innehållade orden Multilinear algebra.
1. Topics on Function Spaces and Multilinear Algebra
Sammanfattning : 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. LÄS MER
2. Topics on Harmonic analysis and Multilinear Algebra
Sammanfattning : 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. LÄS MER
3. Algorithms in data mining using matrix and tensor methods
Sammanfattning : 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. LÄS MER
4. Multivariable Orthogonal Polynomials as Coupling Coefficients for Lie and Quantum Algebra Representations
Sammanfattning : 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. LÄS MER
5. Aspects of multilinear algebra in statistical analysis of seasonal multivariate time series
Sammanfattning : 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. LÄS MER