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Rational Krylov for Large Nonlinear Eigenproblems

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3732))

Abstract

Rational Krylov is an extension of the Lanczos or Arnoldi eigenvalue algorithm where several shifts (matrix factorizations) are used in one run. It corresponds to multipoint moment matching in model reduction. A variant applicable to nonlinear eigenproblems is described.

Talk given at PARA 04, Copenhagen June 21, 2004. Partial support given by VR, the Swedish Research Council.

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Ruhe, A. (2006). Rational Krylov for Large Nonlinear Eigenproblems. In: Dongarra, J., Madsen, K., Waśniewski, J. (eds) Applied Parallel Computing. State of the Art in Scientific Computing. PARA 2004. Lecture Notes in Computer Science, vol 3732. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11558958_42

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  • DOI: https://doi.org/10.1007/11558958_42

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-29067-4

  • Online ISBN: 978-3-540-33498-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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