Search for dissertations about: "rational Krylov"
Found 5 swedish dissertations containing the words rational Krylov.
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1. An implementation of a parallel rational Krylov algorithm
Abstract : .... READ MORE
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2. Model Order Reduction with Rational Krylov Methods
Abstract : Rational Krylov methods for model order reduction are studied. A dual rational Arnoldi method for model order reduction and a rational Krylov method for model order reduction and eigenvalue computation have been implemented. It is shown how to deflate redundant or unwanted vectors and how to obtain moment matching. READ MORE
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3. Krylov Subspace Methods for Linear Systems, Eigenvalues and Model Order Reduction
Abstract : New variants of Krylov subspace methods for numerical solution of linear systems, eigenvalue, and model order reduction problems are described. A new method to solve linear systems of equations with several right-hand sides is described. READ MORE
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4. Eigenfrequency Analysis FE-Adaptivity and a Nonlinear Eigenproblem Algorithm
Abstract : Engineering often pose the problem of computing the frequencies with which a system oscillates and the corresponding displacement patterns the system forms, and in case damping is present then the rates of which the amplitudes of the displacement patterns decay are also required. It is necessary to compute these quantities within a prescribed accuracy and the effort required for the computations should be minimised. READ MORE
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5. Numerical methods for Sylvester-type matrix equations and nonlinear eigenvalue problems
Abstract : Linear matrix equations and nonlinear eigenvalue problems (NEP) appear in a wide variety of applications in science and engineering. Important special cases of the former are the Lyapunov equation, the Sylvester equation, and their respective generalizations. These appear, e.g. READ MORE