Extension of Lanczos’ Method of Fundamental Eigenvalue Approximation

[+] Author and Article Information
H. Herman

Department of Mechanical Engineering, New Jersey Institute of Technology, Newark, N. J.

J. Appl. Mech 42(2), 484-489 (Jun 01, 1975) (6 pages) doi:10.1115/1.3423603 History: Received July 01, 1973; Online July 12, 2010


A method introduced by Lanczos for the approximate determination of fundamental eigenvalues of one-dimensional continuous systems is extended to permit the determination of higher eigenvalues as well, and a modification is introduced which yields better accuracy for the same number of approximating equations. Illustrations are presented demonstrating applications of the method to systems with discontinuities and to the frequency determination in nonlinear oscillation problems.

Copyright © 1975 by ASME
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