Sökning: "Quadratic Forms"

Visar resultat 1 - 5 av 19 avhandlingar innehållade orden Quadratic Forms.

  1. 1. Ternary quadratic forms over algebraic integers

    Författare :Elise Björkholdt; Göteborgs universitet; Göteborgs universitet; Gothenburg University; []
    Nyckelord :ternary quadratic form; quaternion order; even Clifford algebra; quaternation algebra; embedding number; quaternion order;

    Sammanfattning : .... LÄS MER

  2. 2. Quaternion Orders and Ternary Quadratic Forms Orders of Class Number One and Representations of Algebraic Integers by Quadratic Forms

    Författare :Elise Björkholdt; Göteborgs universitet; Göteborgs universitet; Gothenburg University; []
    Nyckelord :quaternion order; ternary quadratic form; class number; even Clifford algebra; quaternion algebra; embedding number; 11E12; 16H05; 11E20; 11E25; 11E88; even Clifford algebra;

    Sammanfattning : Let R be the ring of integers in a totally real quadratic field K. The purpose of the thesis is to study totally definite quaternion R-orders and representations of elements in R by totally positive definite integral ternary quadratic forms. The thesis consists of three papers. LÄS MER

  3. 3. Some problems in the theory of quadratic forms

    Författare :Lars Arnér; Stockholms universitet; []
    Nyckelord :NATURAL SCIENCES; NATURVETENSKAP;

    Sammanfattning : .... LÄS MER

  4. 4. On Parameter Estimation and Control of Time-Varying Stochastic Systems

    Författare :Bengt Lindoff; Matematisk statistik; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Statistics; Adaptive Predictive Control; Adaptive Stochastic Control; Dual Control; Convergence Analysis; Quadratic Forms; Forgetting Factor; Recursive Least Squares; Recursive Estimation; Linear Systems; Time-Varying Stochastic Systems; operations research; programming; actuarial mathematics; Statistik; operationsanalys; programmering; aktuariematematik;

    Sammanfattning : This thesis is about parameter estimation and control of time-varying stochastic systems. It can be divided into two parts. The first part deals with an estimation algorithm commonly used when estimating parameters in time-varying stochastic systems, the Recursive Least Squares (RLS) algorithm with forgetting factor. LÄS MER

  5. 5. Tools for Control System Design : Stratification of Matrix Pairs and Periodic Riccati Differential Equation Solvers

    Författare :Stefan Johansson; Bo Kågström; Erik Elmroth; Paul Van Dooren; Umeå universitet; []
    Nyckelord :NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; control system design; stratification; controllability; observability; matrix pair; canonical forms; linear quadratic regulator; periodic systems; periodic Riccati differential equation; Computer science; Datavetenskap; Numerical Analysis; numerisk analys;

    Sammanfattning : Modern control theory is today an interdisciplinary area of research. Just as much as this can be problematic, it also provides a rich research environment where practice and theory meet. This Thesis is conducted in the borderline between computing science (numerical analysis) and applied control theory. LÄS MER