Abstract
In this paper we propose a GMRES-type method for the solution of linear systems with a p-cyclic coefficient matrix. These p-cyclic matrices arise in the periodic steady state simulation of circuits, assuming that the DAE is discretized in the time domain. The method has similarities with existing GMRES approaches for p-cyclic matrices, but in contrast to these methods the method is efficiently parallelizable, even if the p-cyclic matrix has a small block size. However, the serial costs of the method may be somewhat higher. Numerical experiments demonstrate the effectiveness of the method.
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Bomhof, W., van der Vorst, H.A. (2001). A Parallelizable GMRES-type Method for p-cyclic Matrices, with Applications in Circuit Simulation. In: van Rienen, U., Günther, M., Hecht, D. (eds) Scientific Computing in Electrical Engineering. Lecture Notes in Computational Science and Engineering, vol 18. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56470-3_30
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DOI: https://doi.org/10.1007/978-3-642-56470-3_30
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-42173-3
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