Watson, Layne T.Kamat, Manohar P.Reaser, Michael H.2013-06-192013-06-191984http://hdl.handle.net/10919/19466This paper describes a hybrid method that seeks to combine the efficiency of a quasi-Newton method capable of locating stable and unstable equilibrium configurations with a robust homotopy method that is capable of tracking equilibrium paths with turning points while exploiting symmetry and sparsity of the Jacobian matrices. Numerical results are presented for a shallow arch problem.application/pdfenIn CopyrightTechnical reportCS84014-Rhttp://eprints.cs.vt.edu/archive/00000909/01/CS84014-R.pdf