Thiele-Type Algorithm of Generalized Inverse Complex Function-Valued Pade Approximation and its Three-Term Recurrence Relation

摘要

We define a complex function-valued Pade approximation by means of a generalized function-value inverse. To compute the approximants efficiently, a new Thiele-type continued fraction algorithm is obtained and its three-term recurrence relation is presented. An example of Fredholm integral equations of the second kind is given to compute its approximation solution by Pade method in this paper.