Multidimensional Continued Fraction Inversion

Authors

George Antoniou, Montclair State UniversityFollow
Stavros J. Varoufakis, Demokritos National Centre for Scientific ResearchFollow
Paraskevas N. Paraskevopoulos, National Technical University of AthensFollow

Document Type

Article

Publication Date

12-1-1989

Abstract

A computationally simple algorithm for the inversion of multidimensional (mD) continued fraction expansions is presented. The approach is based on the interpretation of an mD continued fraction expansion as a driving-point admittance. To facilitate the inversion procedure a cyclic function Ti(z1, z2, ..., zm) is introduced. Several examples are given for inverting 3-D and 4-D systems to illustrate the efficiency of the algorithm.

Montclair State University Digital Commons Citation

Antoniou, George; Varoufakis, Stavros J.; and Paraskevopoulos, Paraskevas N., "Multidimensional Continued Fraction Inversion" (1989). Department of Computer Science Faculty Scholarship and Creative Works. 412.
https://digitalcommons.montclair.edu/compusci-facpubs/412