Published in Nuclear Engineering and Design Vol. 58 (3), pp. 339-348, 1980
doi: 10.1016/0029-5493(80)90147-8


This paper is an attempt to compare Newton and quasi-Newton methods in nonlinear structural dynamics. After a review of the classical iterative methods, several quasi-Newton updates are presented and tested. Special attention is devoted to the solution of large sparse systems for which two original procedures are described: a substructure correction and a vectorial correction.

The numerical examples presented include the dynamic analyses of geometrical, material and combined nonlinearities. All the results are assorted with a complete discussion of the different methods used, of the convergence rates and of the associated computer costs.

From the present results, Newton's methods appear to exhibit the best convergence rates when an efficient computational strategy is adopted. Nevertheless computational costs for the solution of large systems can be reduced drastically by using convenient quasi-Newton updates.

The PDF file did not load properly or your web browser does not support viewing PDF files. Download directly to your device: Download PDF document
Back to Top

Document information

Published on 27/02/19
Submitted on 19/02/19

DOI: 10.1016/0029-5493(80)90147-8
Licence: CC BY-NC-SA license

Document Score


Times cited: 3
Views 6
Recommendations 0

Share this document

claim authorship

Are you one of the authors of this document?