Comments on Rayleigh’s Quotient and Perturbation Theory for the Eigenvalue Problem-Reference-Cited by-同舟云学术

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

Published:1988-12-01 Issue:4 Volume:55 Page:986-988
ISSN:0021-8936
Container-title:Journal of Applied Mechanics
language:en
Short-container-title:

Author:

Pierre Christophe¹

Affiliation:

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

Abstract

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

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Link

http://asmedigitalcollection.asme.org/appliedmechanics/article-pdf/55/4/986/5460376/986_1.pdf

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Perturbation theory and the Rayleigh quotient;Journal of Sound and Vibration;2011-04

2. Improving the modal strain energy method for damped structures using a dyadic matrix perturbation approach;Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science;2002-12-01

3. A NEW DISCRETE APPROACH TO EIGENVALUE SENSITIVITY WITH RESPECT TO CONSTRAINT LOCATIONS;Journal of Sound and Vibration;1997-07

4. Exact Boundary Condition Perturbation Solutions in Eigenvalue Problems;Journal of Applied Mechanics;1996-03-01

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