Search for dissertations about: "polynomial sequence"

Showing result 1 - 5 of 33 swedish dissertations containing the words polynomial sequence.

2. 1. The Symmetric Meixner-Pollaczek polynomials

   Author : Tsehaye Araaya; Sten Kaijser; Svante Janson; Hjalmar Rosengren; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematical analysis; Meixner-Pollaczek polynomial; Orthogonal polynomial; Polynomial operator; Inner product; Umbral calculus; Sheffer polynomial; Convolution type polynomial; Connection and linearization problem; 33C45; 05A40; 33D45; Matematisk analys; Mathematical analysis; Analys; matematik; Mathematics;

   Abstract : The Symmetric Meixner-Pollaczek polynomials are considered. We denote these polynomials in this thesis by pn(λ)(x) instead of the standard notation pn(λ) (x/2, π/2), where λ > 0. READ MORE

4. 2. Topics in polynomial sequences defined by linear recurrences

   Author : INNOCENT NDIKUBWAYO; Boris Shapiro; Rikard Bøgvad; Tamás Forgács; Stockholms universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; recurrence relation; q-discriminant; generating function; polynomial sequence; support; real zeros; matematik; Mathematics;

   Abstract : This licentiate consists of two papers treating polynomial sequences defined by linear recurrences.In paper I, we establish necessary and sufficient conditions for the reality of all the zeros in a polynomial sequence {P_i} generated by a three-term recurrence relation P_i(x)+ Q_1(x)P_{i-1}(x) +Q_2(x) P_{i-2}(x)=0 with the standard initial conditions P_{0}(x)=1, P_{-1}(x)=0, where Q_1(x) and Q_2(x) are arbitrary real polynomials. READ MORE

5. 3. Polynomial Sequences Generated by Linear Recurrences : Location and Reality of Zeros

   Author : Innocent Ndikubwayo; Boris Shapiro; Rikard Bögvad; Tamás Forgacs; Stockholms universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; real-rooted polynomials; generating functions; discriminants; Tran s conjecture; Toeplitz matrices; Mathematics; matematik;

   Abstract : In this thesis, we study the problem of location of the zeros of individual polynomials in sequences of polynomials generated by linear recurrence relations.In paper I, we establish the necessary and sufficient conditions that guarantee hyperbolicity of all the polynomials generated by a three-term recurrence of length 2, whose coefficients are arbitrary real polynomials. READ MORE

6. 4. Polynomial expansion for orientation and motion estimation

   Author : Gunnar Farnebäck; Gösta Granlund; Linköpings universitet; []
   Keywords : TECHNOLOGY; TEKNIKVETENSKAP;

   Abstract : This thesis introduces a new signal transform, called polynomial expansion, and based on this develops novel methods for estimation of orientation and motion. The methods are designed exclusively in the spatial domain and can be used for signals of any dimensionality. READ MORE

7. 5. Numerical Methods for Geometric Vision: From Minimal to Large Scale Problems

   Author : Martin Byröd; Matematik LTH; []
   Keywords : Minimal Problems; Bundle Adjustment; Computer Vision; Polynomial Equations;

   Abstract : This thesis presents a number of results and algorithms for the numerical solution of problems in geometric computer vision. In geometric computer vision one tries to extract geometric information about the world and the observer from a sequence of images. READ MORE