Search for dissertations about: "symmetric system of linear equations"
Showing result 1 - 5 of 14 swedish dissertations containing the words symmetric system of linear equations.
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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. On the Einstein-Vlasov system: Stationary Solutions and Small Data Solutions with Charged and Massless Particles
Abstract : The Vlasov matter model describes an ensemble of collisionless particles moving through space-time. These particles interact via the gravitational field which they create collectively. In the framework of General Relativity this gravitational field is described by space-time curvature. READ MORE
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3. Approaches to accelerate methods for solving systems of equations arising in nonlinear optimization
Abstract : Methods for solving nonlinear optimization problems typically involve solving systems of equations. This thesis concerns approaches for accelerating some of those methods. In our setting, accelerating involves finding a trade-off between the computational cost of an iteration and the quality of the computed search direction. 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. Harmonic morphisms, Hermitian structures and symmetric spaces
Abstract : A harmonic morphism is a map between two Riemannian manifolds with the property that its composition with a local harmonic function on the codomain is a local harmonic function on the domain. Such a map is automatically a harmonic map, satisfying an additional partial conformality condition called horizontal (weak) conformality. READ MORE