Journal Article FZJ-2012-00908

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Dissecting the FEAST algorithm for generalized eigenproblems

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2013
North-Holland Amsterdam [u.a.]

Journal of computational and applied mathematics 244, 1 - 9 () [10.1016/j.cam.2012.11.014]

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Abstract: We analyze the FEAST method for computing selected eigenvalues and eigenvectors of large sparse matrix pencils. After establishing the close connection between FEAST and the well-known Rayleigh–Ritz method, we identify several critical issues that influence convergence and accuracy of the solver: the choice of the starting vector space, the stopping criterion, how the inner linear systems impact the quality of the solution, and the use of FEAST for computing eigenpairs from multiple intervals. We complement the study with numerical examples, and hint at possible improvements to overcome the existing problems.

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Contributing Institute(s):
  1. Jülich Supercomputing Center (JSC)

Appears in the scientific report 2013
Database coverage:
Medline ; Current Contents - Social and Behavioral Sciences ; JCR ; NationallizenzNationallizenz ; SCOPUS ; Science Citation Index ; Science Citation Index Expanded ; Thomson Reuters Master Journal List ; Web of Science Core Collection
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 Record created 2012-12-21, last modified 2022-11-09


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