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A refined subspace iteration algorithm for large sparse eigenproblems

โœ Scribed by Zhongxiao Jia


Book ID
108415956
Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
138 KB
Volume
32
Category
Article
ISSN
0168-9274

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When the matrix in question is uns)xnmetric, the approximate eigenvectors or Ritz vectors obtained by orthogonal projection methods including Arnoldi's method and the block Arnoldi method cannot be guaranteed to converge in theory even if the corresponding approximate eigenvalues or Ritz values do.

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## The shift-and-invert Arnoldi method has been popularly used for computing a number of eigenvalues close to a given shift and/or the associated eigenvectors of a large unsymmetric matrix pair, but there is no guarantee for the approximate eigenvectors, Ritz vectors, obtained by this method to co