The Application of Preconditioned Jacobi-Davidson Methods in Pole-zero Analysis

  • J. Rommes
  • C. W. Bomhof
  • H. A. van der Vorst
  • E. J. W. ter Maten
Conference paper
Part of the Mathematics in Industry book series (MATHINDUSTRY, volume 4)


The application of Jacobi-Davidson style methods in electric circuit simulation will be discussed in comparison with other iterative methods (Arnoldi) and direct methods (QR, QZ). Numerical results show that the use of a preconditioner to solve the correction equation may improve the Jacobi-Davidson process, but may also cause computational and stability problems when solving the correction equation. Furthermore, some techniques to improve the stability and accuracy of the process will be given.


Iterative Method Jordan Block Correction Equation Resp Onse Restart Arnoldi Method 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • J. Rommes
    • 1
  • C. W. Bomhof
    • 2
  • H. A. van der Vorst
    • 1
  • E. J. W. ter Maten
    • 3
  1. 1.Utrecht UniversityThe Netherlands
  2. 2.Plaxis BVDelftThe Netherlands
  3. 3.Philips Research LaboratoriesEindhoven University of TechnologyThe Netherlands

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