Search for dissertations about: "polynomial equations"

Showing result 1 - 5 of 52 swedish dissertations containing the words polynomial equations.

2. 1. Perturbed Renewal Equations with Non-Polynomial Perturbations

   Author : Ying Ni; Dmitrii Silvestrov; Anatoliy Malyarenko; Yuri Belyaev; Mälardalens högskola; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Renewal equation; perturbed renewal equation; non-polynomial perturbation; exponential asymptotic expansion; risk process; ruin probability; Mathematical statistics; Matematisk statistik; Mathematics Applied Mathematics; matematik tillämpad matematik;

   Abstract : This thesis deals with a model of nonlinearly perturbed continuous-time renewal equation with nonpolynomial perturbations. The characteristics, namely the defect and moments, of the distribution function generating the renewal equation are assumed to have expansions with respect to a non-polynomial asymptotic scale: $\{\varphi_{\nn} (\varepsilon) =\varepsilon^{\nn \cdot \w}, \nn \in \mathbf{N}_0^k\}$  as $\varepsilon \to 0$, where $\mathbf{N}_0$ is the set of non-negative integers, $\mathbf{N}_0^k \equiv \mathbf{N}_0 \times \cdots \times \mathbf{N}_0, 1\leq k . READ MORE

4. 2. Nonlinearly Perturbed Renewal Equations : asymptotic Results and Applications

   Author : Ying Ni; Dmitrii Silvestrov; Anatoliy Malyarenko; Mats Gyllenberg; Mälardalens högskola; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Nonlinearly perturbed renewal equation; perturbed renewal equation; nonlinear perturbation; non-polynomial perturbation; perturbed risk process; perturbed storage process; Mathematical statistics; Matematisk statistik; Mathematics Applied Mathematics; matematik tillämpad matematik;

   Abstract : In this thesis we investigate a model of nonlinearly perturbed continuous-time renewal equation. Some characteristics of the renewal equation are assumed to have non-polynomial perturbations, more specifically they can be expanded with respect to a non-polynomial asymptotic scale. READ MORE

5. 3. Local Polynomial Regression with Application on Lidar Measurements

   Author : Torgny Lindström; Matematisk statistik; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik; differential equations; Funktioner; differentialekvationer; variance-function estimation.; spatial dependence; nonparametric; local polynomial regression; local bandwidth selection; lidar; heteroscedasticity; Bivariate estimation; differential absorption; Functions;

   Abstract : This thesis deals with the problem of estimating a function or one of its derivatives from a set of measurements, mainly of a bivariate or spatial nature which is so common in environmental applications. In this work particular attention has been on the lidar (light detection and ranging) application which is a versatile technique for measurement of among other things atmospheric trace gases. READ MORE

6. 4. Tools for Structured Matrix Computations : Stratifications and Coupled Sylvester Equations

   Author : Andrii Dmytryshyn; Bo Kågström; Volker Mehrmann; Umeå universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES;

   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

7. 5. Methods for Optimal Model Fitting and Sensor Calibration

   Author : Erik Ask; Matematik LTH; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Model Fitting; Sensor Networks; Computer Vision; Polynomial Equations; Action Matrix Methods;

   Abstract : The problem of fitting models to measured data has been studied extensively, not least in the field of computer vision. A central problem in this field is the difficulty in reliably find corresponding structures and points in different images, resulting in outlier data. READ MORE