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Matrix decomposition based approaches for model order reduction of linear systems with a large number of terminals

Matrix decomposition based approaches for model order reduction of linear systems with a large number of terminals Diploma Thesis, Task formulation The task of the diploma thesis is to find out in which way different types of reduced-rank matrix approximations are practical for system and model order reduction methods, specially for linear systems resulting from subcircuits with a large number of terminals. Here several basic approaches will be based on the idea of the singular value decomposition (the so called SVD) and a couple of variations of this idea. One important aspect is that it is possible to estimate the error of the reduction by applying these methods. For the different types of the SVDMOR idea including error estimates source codes should be implemented. Many tests should be realised to find out which approaches and parameters are suitable.