• Media type: Report; Paper; Electronic Resource; E-Book
  • Title: Initializing iterative projection methods for rational symmetric eigenproblems
  • Contributor: Voß, Heinrich [Author]
  • Published: TORE TUHH Open Research (Hamburg University of Technology), 2003-10
  • Language: English
  • DOI: https://doi.org/10.15480/882.138
  • Keywords: 35P30 ; Jacobi-Davidson method ; Arnoldi method ; nonlinear spectral theory for PDO ; 35P30:Nonlinear eigenvalue problems ; Eigenwertproblem ; Iteration ; rational eigenvalue problem ; fluid-solid ; Projektionsverfahren
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  • Description: In this paper we consider sparse, symmetric eigenproblems which are rational perturbations of small rank of linear eigenproblems. Problems of this type arise in structural dynamics and in vibrations of fluid-solid structures. Taking advantage of the limit behaviour of certain parameter dependent linear eigenproblems we construct a suitable initial basis for iterative projection methods of Jacobi-Davidson or Arnoldi type.
  • Access State: Open Access
  • Rights information: In Copyright