Media type: E-Article Title: On optimal step‐length gradient eigensolvers Contributor: Neymeyr, Klaus Published: Wiley, 2011 Published in: PAMM, 11 (2011) 1, Seite 749-750 Language: English DOI: 10.1002/pamm.201110364 ISSN: 1617-7061 Keywords: General Medicine Origination: Footnote: Description: AbstractGradient iterations for the minimization of the Rayleigh quotient are robust and (with a proper preconditioning) fast iterations to compute approximations of the smallest eigenvalue of a self‐adjoint elliptic partial differential operator. Up to now sharp convergence estimates were only known for the basic fixed‐step size preconditioned gradient iteration (also called preconditioned inverse iteration). Recently sharp convergence estimates have been proved for optimal step size (preconditioned) gradient iterations. These new estimates are compared with previous results. (© 2011 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim) Access State: Open Access