ABSTRACT
The ratios of determinants studied in the preceding sections and the recursive algorithms for their computation have applications in the general interpolation problem and in sequence transformations (which are extrapolation methods) used in numerical analysis to accelerate the convergence. Such sequence transformations, which can also be considered as projection methods, can be used to construct fixed point iterations, an ancient approach which has recently received much attention [114, 166, 167, 180, 181, 183]. As we shall see now all these methods and algorithms are direct applications of the results given in the previous sections.
