  We present examples of divergence for the BFGS and Gauss Newton methods.
These examples have objective functions with bounded level sets and other
properties concerning the examples published recently in this journal, like
unit steps and convexity along the search lines. As these other examples, the
iterates, function values and gradients in the new examples fit into the
general formulation in our previous work {\it On the divergence of line search
methods, Comput. Appl. Math. vol.26 no.1 (2007)}, which also presents an
example of divergence for Newton's method.
