Search for dissertations about: "Polynomial Equations"
Showing result 1 - 5 of 52 swedish dissertations containing the words Polynomial Equations.
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1. Perturbed Renewal Equations with Non-Polynomial Perturbations
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
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2. Nonlinearly Perturbed Renewal Equations : asymptotic Results and Applications
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
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3. Local Polynomial Regression with Application on Lidar Measurements
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
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4. Tools for Structured Matrix Computations : Stratifications and Coupled Sylvester Equations
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
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5. Methods for Optimal Model Fitting and Sensor Calibration
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