Sökning: "Quadratic Forms"

Visar resultat 1 - 5 av 20 avhandlingar innehållade orden Quadratic Forms.

1. 1. Ternary quadratic forms over algebraic integers

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

   Sammanfattning : .... LÄS MER

3. 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; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; 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

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

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

   Sammanfattning : .... LÄS MER

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

   Författare :Bengt Lindoff; Matematisk statistik; []
   Nyckelord :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

7. 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 :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