Multidimensional continued fraction inversion

George Antoniou, S. J. Varoufakis, P. N. Paraskevopoulos

Research output: Contribution to journalArticleResearchpeer-review

2 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)307-312
Number of pages6
JournalIEE proceedings. Part G. Electronic circuits and systems
Volume136
Issue number6
StatePublished - 1 Dec 1989

Cite this

Antoniou, George ; Varoufakis, S. J. ; Paraskevopoulos, P. N. / Multidimensional continued fraction inversion. In: IEE proceedings. Part G. Electronic circuits and systems. 1989 ; Vol. 136, No. 6. pp. 307-312.
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Antoniou, G, Varoufakis, SJ & Paraskevopoulos, PN 1989, 'Multidimensional continued fraction inversion', IEE proceedings. Part G. Electronic circuits and systems, vol. 136, no. 6, pp. 307-312.

Multidimensional continued fraction inversion. / Antoniou, George; Varoufakis, S. J.; Paraskevopoulos, P. N.

In: IEE proceedings. Part G. Electronic circuits and systems, Vol. 136, No. 6, 01.12.1989, p. 307-312.

Research output: Contribution to journalArticleResearchpeer-review

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T1 - Multidimensional continued fraction inversion

AU - Antoniou, George

AU - Varoufakis, S. J.

AU - Paraskevopoulos, P. N.

PY - 1989/12/1

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N2 - 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.

AB - 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.

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EP - 312

JO - IEE Proceedings G: Electronics Circuits and Systems

JF - IEE Proceedings G: Electronics Circuits and Systems

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