Iterative methods for large continuation problems (Q1591183)

This is a nice summary of continuation methods for nonlinear parameter dependent problems and implicitly restarted block-Lanczos method for computation of a few eigenvalues and the associated eigenvectors of a symmetric matrix. By combining these techniques the authors developed algorithms for path following around a turning point, detecting singular points on the solution path and for branch switching at a bifurcation point. The algorithms are proposed for large continuation problems and are illustrated by numerical examples.