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A truncated Newton–Lanczos method for overcoming limit and bifurcation points

✍ Scribed by M. Papadrakakis

Publisher
John Wiley and Sons
Year
1990
Tongue
English
Weight
701 KB
Volume
29
Category
Article
ISSN
0029-5981

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✦ Synopsis

In this study procedures for overcoming limit and bifurcation points in large-scale structural analysis problems are described and evaluated. The methods are based on Newton's method for the outer iterations, while for the linearized problem in each iteration the preconditioned truncated Lanczos method is employed. Special care is placed upon line search routines for accelerating the convergence properties and enhancing the stability of the outer method. The proposed methodology retains all characteristics of an iterative method by avoiding the factorization of the current stiffness matrix. The necessary eigenvalue information is retained in the tridiagonal matrix of the Lanczos approach.

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