Algorithms for the calculation of limit and bifurcation points using lanczos methods

摘要

The computation of limit and bifurcation points in structural mechanics using iterative preoconditioned Lanczos solvers is studied. Contrary to classical imple- mentations of algorithms for the calculation of limit and bifurcation points, which depend in general strongly on observing the diagonal elements of the decomposed matrix - obtained gy a Gaub- or Cholesky decomposition -, we use an approach of determining limit and bifurcation points by examination of the subspace spanned by the iteration vectors of the Lanczoes solver.