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11	A Multi-Grid Method for Generalized Lyapunov Equations Penzl, Thilo 07 September 2005 (has links) We present a multi-grid method for a class of structured generalized Lyapunov matrix equations. Such equations need to be solved in each step of the Newton method for algebraic Riccati equations, which arise from linear-quadratic optimal control problems governed by partial differential equations. We prove the rate of convergence of the two-grid method to be bounded independent of the dimension of the problem under certain assumptions. The multi-grid method is based on matrix-matrix multiplications and thus it offers a great potential for a parallelization. The efficiency of the method is demonstrated by numerical experiments. info:eu-repo/classification/ddc/510 ddc:510 Algebraische Riccati-Gleichung Lineares System Ljapunov-Gleichung Multi-level-Verfahren Multi-grid method
12	The Geometry of the Milnor Number / Die Geometrie der Milnorzahl Szawlowski, Adrian 19 April 2012 (has links) No description available. 510 Mathematik EBEB 050 Mathematics and Computer Science Milnorzahl Singularitäten Volumenerhaltende Geometry Normalform Lineares System Equisingularität Milnor Number Singularities Volume-Preserving Geometry Normal Form Pencils Equisingularity 31.43