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Titlebook: Dimension Reduction of Large-Scale Systems; Proceedings of a Wor Peter Benner,Danny C. Sorensen,Volker Mehrmann Conference proceedings 2005

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Balanced Truncation Model Reduction for Large-Scale Systems in Descriptor Formirst give a brief overview of the basic concepts from linear system theory and then present balanced truncation model reduction methods for descriptor systems and discuss their algorithmic aspects. The efficiency of these methods is demonstrated by numerical experiments.
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A File Format for the Exchange of Nonlinear Dynamical ODE Systemscretization. The syntax of the format is similar to a . [Mat] .m file. It supports both dense and sparse matrices as well as certain macros for special matrices like zero and unity matrices. The main feature is that nonlinear functions are allowed, and that nonlinear coupling between the state variables or to an external input can be represented.
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1439-7358 systems, control design, circuit simulation, structural dynamics, CFD, and many other disciplines dealing with complex physical models. The aim of this book is to survey some of the most successful model reduction methods in tutorial style articles and to present benchmark problems from several app
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Inter- und supranationale Sozialpolitiktional tool of most of the discussed algorithms for computing reduced-order models. Implementations for large-scale problems based on parallelization or formatted arithmetic will also be discussed. This chapter can also serve as a tutorial on Gramian-based model reduction using spectral projection methods.
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