M. Makino et al., AN ESTIMATION METHOD OF REGION GUARANTEEING EXISTENCE OF A SOLUTION PATH IN NEWTON TYPE HOMOTOPY METHOD, IEICE transactions on fundamentals of electronics, communications and computer science, E76A(7), 1993, pp. 1113-1116
An estimation method of region is presented, in which a solution path
of the so-called Newton type homotopy equation is guaranteed to exist,
when it is applied to a certain class of uniquely solvable nonlinear
equations. The region can be estimated a posteriori, and its upper bou
nd also can be estimated a priori.