Search for dissertations about: "Quasi-Newton method"
Showing result 1 - 5 of 18 swedish dissertations containing the words Quasi-Newton method.
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1. On Methods for Solving Symmetric Systems of Linear Equations Arising in Optimization
Abstract : In this thesis we present research on mathematical properties of methods for solv- ing symmetric systems of linear equations that arise in various optimization problem formulations and in methods for solving such problems.In the first and third paper (Paper A and Paper C), we consider the connection be- tween the method of conjugate gradients and quasi-Newton methods on strictly convex quadratic optimization problems or equivalently on a symmetric system of linear equa- tions with a positive definite matrix. READ MORE
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2. Numerical Algorithms for Optimization Problems in Genetical Analysis
Abstract : The focus of this thesis is on numerical algorithms for efficient solution of QTL analysis problem in genetics.Firstly, we consider QTL mapping problems where a standard least-squares model is used for computing the model fit. READ MORE
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3. Utilizing Problem Structure in Optimization of Radiation Therapy
Abstract : In this thesis, optimization approaches for intensity-modulated radiation therapy are developed and evaluated with focus on numerical efficiency and treatment delivery aspects. The first two papers deal with strategies for solving fluence map optimization problems efficiently while avoiding solutions with jagged fluence profiles. READ MORE
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4. Numerical algorithms for nonlinear eigenproblems with eigenvector nonlinearities
Abstract : Eigenproblems and their nonlinear generalizations appear as important problems in a wide variety of fields, ranging from quantum chemistry and vibration analysis to macroeconomics and data science. Hence, the development and analysis of numerical algorithms to solve such problems has a broad multiplicative effect on our ability to answer several crucial scientific questions. READ MORE
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5. Algorithms in data mining using matrix and tensor methods
Abstract : In many fields of science, engineering, and economics large amounts of data are stored and there is a need to analyze these data in order to extract information for various purposes. Data mining is a general concept involving different tools for performing this kind of analysis. READ MORE