Abstract
SUMMARYThis paper presents high‐order, single‐point, iterative methods for the numerical solution of the general non‐linear equilibrium equation. The methods are designed so that the approximations provided by the iterative process alternate about the targeted root, thus providing progressively better upper, as well as lower bounds on the sought root, which is thus numerically bracketed ever tighter. The effectiveness of the proposed methods is demonstrated by applying them to obtain close bounds on the extreme eigenvalues of the finite elements global stiffness matrix of the hanging string. Copyright © 2013 John Wiley & Sons, Ltd.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: International Journal for Numerical Methods in Engineering
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
