Roots of Lambda Matrices

[+] Author and Article Information
G. A. Thurston

Department of Mechanical Engineering, University of Colorado at Denver, Denver, Colo. 80202

J. Appl. Mech 45(4), 859-863 (Dec 01, 1978) (5 pages) doi:10.1115/1.3424432 History: Received October 01, 1977; Revised January 01, 1978; Online July 12, 2010


A numerical method is outlined for computing roots of determinants of lambda matrices. Convergence of the method is quadratic as long as the derivative of the determinant does not vanish at the root. When the derivative is zero, the method may still converge in special cases. Three examples of mechanics problems giving rise to lambda matrices are included.

Copyright © 1978 by ASME
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