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Original Articles

Restarting projection methods for rational eigenproblems arising in fluid‐solid vibrations

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Pages 171-182 | Received 01 Sep 2005, Published online: 14 Oct 2010

References

  • Betcke , M.M. 2007 . Iterative Projection Methods for Symmetric Nonlinear Eigenvalue Problems with Applications , Hamburg University of Technology . Ph.D. thesis
  • Betcke , M.M. , Lochmann , V. and Voss , H. 2007 . Computing interior eigenvalues of nonlinear symmetric eigenvalue problems , Technical Report Institute of Numerical Simulation, Hamburg University of Technology .
  • Conca , C. , Planchard , J. and Vanninathan , M. 1995 . Fluid and Periodic Structures , Paris : Masson, Research in Applied Mathematics 24 .
  • Mehrmann , V. and Voss , H. 2004 . Nonlinear eigenvalue problems: A challenge for modern eigenvalue methods . GAMM Mitteilungen , 27 : 121 – 152 .
  • Voss , H. 2003 . Initializing iterative projection methods for rational symmetric eigenproblems . Online Proceedings of the Dagstuhl Seminar Theoretical and Computational Aspects of Matrix Algorithms, Schloss Dagstuhl . 2003 . ftp://ftp.dagstuhl.de/pub/Proceedings/03/03421/03421.VoszHeinrich.Other.pdf
  • Voss , H. 2004 . An Arnoldi method for nonlinear eigenvalue problems . BIT Numerical Mathematics , 44 : 387 – 401 .
  • Voss , H. and Werner , B. 1982 . A minimax principle for nonlinear eigenvalue problems with applications to nonoverdamped systems . Math. Meth. Appl. Sci. , 4 : 415 – 424 .

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