Applications of Eigenvalue Counting and Inclusion Theorems in Model Order Reduction

Yetkin E. F. , DAĞ H.

7th International Conference on Scientific Computing in Electrical Engineering, Espoo, Finland, 28 September - 03 October 2008, vol.14, pp.499-500 identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 14
  • Doi Number: 10.1007/978-3-642-12294-1_61
  • City: Espoo
  • Country: Finland
  • Page Numbers: pp.499-500

Abstract

We suggest a simple and an efficient iterative method based on both the Gerschgorin eigenvalue inclusion theorem and the deflation methods to compute a Reduced Order Model (ROM) to lower greatly the order of a given state space system. This method is especially efficient in symmetric state-space systems but it works for the other cases with some modifications.