ABSTRACT

The problem of slow convergence can be addressed by obtaining a better initial approximation or by a different root-finding method.

Most root-finding problems in engineering and science are well behaved and can be solved in a straightforward manner by one or more of the methods presented in this chapter. Consequently, each problem should be approached with the expectation of success. However, one must always be open to the possibility of unexpected difficulties and be ready and willing to pursue other approaches.