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Published in:
1984 | OriginalPaper | Chapter
Simultaneous Newton’s Iteration for the Eigenproblem
Author : Prof. Françoise Chatelin
Published in: Defect Correction Methods
Publisher: Springer Vienna
Included in: Professional Book Archive
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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.