Comments on Rayleigh’s Quotient and Perturbation Theory for the Eigenvalue Problem

[+] Author and Article Information
Christophe Pierre

Department of Mechanical Engineering and Applied Mechanics, The University of Michigan, Ann Arbor, MI 48109-2125

J. Appl. Mech 55(4), 986-988 (Dec 01, 1988) (3 pages) doi:10.1115/1.3173753 History: Received September 18, 1987; Revised June 27, 1988; Online July 21, 2009


The connection between Rayleigh’s quotient and perturbation theory for the eigenvalue problem is studied. Equivalence of these techniques is proven under certain conditions.

Copyright © 1988 by ASME
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