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The Rational Krylov Algorithm for Nonlinear Matrix Eigenvalue Problems

✍ Scribed by A. Ruhe


Book ID
110419663
Publisher
Springer US
Year
2003
Tongue
English
Weight
222 KB
Volume
114
Category
Article
ISSN
1573-8795

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We present an efficient inexact implicitly restarted Arnoldi algorithm to find a few eigenpairs of large unitary matrices. The approximating Krylov spaces are built using short-term recurrences derived from Gragg's isometric Arnoldi process. The implicit restarts are done by the Krylov-Schur methodo