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The semi‐iterative method applied to the hyper‐power iteration
Author(s) -
Chen Xuzhou,
Hartwig Robert E.
Publication year - 2005
Publication title -
numerical linear algebra with applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.02
H-Index - 53
eISSN - 1099-1506
pISSN - 1070-5325
DOI - 10.1002/nla.429
Subject(s) - power iteration , mathematics , rate of convergence , iterative method , convergence (economics) , rayleigh quotient iteration , preconditioner , power (physics) , fixed point iteration , mathematical optimization , fixed point , mathematical analysis , computer science , computer network , channel (broadcasting) , physics , quantum mechanics , economics , economic growth
The semi‐iterative method (SIM) is applied to the hyper‐power (HP) iteration, and necessary and sufficient conditions are given for the convergence of the semi‐iterative–hyper‐power (SIM–HP) iteration. The root convergence rate is computed for both the HP and SIM–HP methods, and the quotient convergence rate is given for the HP iteration. Copyright © 2005 John Wiley & Sons, Ltd.