Abstract
For an ill-conditioned eigenproblem (close eigenvalues and/or almost parallel eigenvectors) it is advisable to group some eigenvalues and to compute a basis of the corresponding invariant subspace. We show how Newton’s method may be used for the iterative refinement of an approximate invariant subspace.
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© 1984 Springer-Verlag
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Chatelin, F. (1984). Simultaneous Newton’s Iteration for the Eigenproblem. In: Böhmer, K., Stetter, H.J. (eds) Defect Correction Methods. Computing Supplementum, vol 5. Springer, Vienna. https://doi.org/10.1007/978-3-7091-7023-6_4
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DOI: https://doi.org/10.1007/978-3-7091-7023-6_4
Publisher Name: Springer, Vienna
Print ISBN: 978-3-211-81832-9
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