The approximation of generalized turning points\newline by Krylov subspace methods

Abstract

Certain types of singular solutions of nonlinear parameter-dependent operator equations were characterized by Griewank and Reddien [5, 6] as regular solutions of suitable augmented systems. For their numerical approximation an approach based on the use of Krylov subspaces is here presented. The application to boundary value problems is illustrated by numerical examples. Mathematics Subject Classification (1991): 65J15