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SIAMMAX
2010
117views more  SIAMMAX 2010»
13 years 5 months ago
On the Convergence of Rational Ritz Values
Ruhe's rational Krylov method is a popular tool for approximating eigenvalues of a given matrix, though its convergence behavior is far from being fully understood. Under fair...
Bernhard Beckermann, Stefan Güttel, Raf Vande...
SIAMSC
2010
95views more  SIAMSC 2010»
13 years 9 months ago
Interpreting IDR as a Petrov--Galerkin Method
The IDR method of Sonneveld and van Gijzen [SIAM J. Sci. Comput., 31:1035–1062, 2008] is shown to be a Petrov-Galerkin (projection) method with a particular choice of left Krylov...
Valeria Simoncini, Daniel B. Szyld
PARA
2004
Springer
14 years 4 months ago
Rational Krylov for Large Nonlinear Eigenproblems
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...
Axel Ruhe