Rank-One Modification of the Symmetric Eigenproblem.
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J.R. Bunch, C.P. Nielsen, D.C. Sorensen (1978/1979)
Numerische Mathematik
Elias Jarlebring, Heinrich Voss (2005)
Applications of Mathematics
In recent papers Ruhe suggested a rational Krylov method for nonlinear eigenproblems knitting together a secant method for linearizing the nonlinear problem and the Krylov method for the linearized problem. In this note we point out that the method can be understood as an iterative projection method. Similarly to the Arnoldi method the search space is expanded by the direction from residual inverse iteration. Numerical methods demonstrate that the rational Krylov method can be accelerated considerably...
J.H. Wilkinson, H.J. Symm (1980)
Numerische Mathematik
B. Schulzendorff (1980)
Numerische Mathematik
Rafał Zdunek (2014)
International Journal of Applied Mathematics and Computer Science
Harald K. Wimmer, Allen D. Ziebur (1975)
Czechoslovak Mathematical Journal
Putinar, Gabriela, Putinar, Mihai (2006)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
Hiroko Iguchi, Makoto Natori, Hitoshi Imai (1992)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
Stathopoulos, Andreas, Saad, Yousef (1998)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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