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, Finlandiya, 28 Eylül - 03 Ekim 2008, cilt.14, ss.499-500 identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 14
  • Doi Numarası: 10.1007/978-3-642-12294-1_61
  • Basıldığı Şehir: Espoo
  • Basıldığı Ülke: Finlandiya
  • Sayfa Sayıları: ss.499-500


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.