Clusters, preconditioners, convergence

We present a technique that relates the existence of a cluster of singular values to the existence of a cluster of eigenvalues. We also analyze some geometrical properties of eigenvalue clusters and their clusterization speed.

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Bibliographic Details
Published in:Linear algebra and its applications Vol. 263; pp. 25 - 48
Main Authors: Tyrtyshnikov, E.E., Yeremin, A.Yu, Zamarashkin, N.L.
Format: Journal Article
Language:English
Published: Elsevier Inc 15-09-1997
Online Access:Get full text
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Description
Summary:We present a technique that relates the existence of a cluster of singular values to the existence of a cluster of eigenvalues. We also analyze some geometrical properties of eigenvalue clusters and their clusterization speed.
ISSN:0024-3795
1873-1856
DOI:10.1016/S0024-3795(96)00445-4