2-D Roger-Ramanujan continued fraction and inversion

George Antoniou, P. A. Katsalis

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

1 Citation (Scopus)

Abstract

In this paper the generalized numerical Rogers - Ramanujan continued fraction expansion is extended to twodimensions(2-D). A new fast algorithm is proposed for the inversion of the 2-D Rogers - Ramanujan continued fraction expansion. The algorithm is based on matrix formulations. The simplicity and efficiency of the algorithm are illustrated by step-by-step examples.

Original languageEnglish
Title of host publication2009 International Symposium on Signals, Circuits and Systems, ISSCS 2009
DOIs
StatePublished - 19 Nov 2009
Event2009 International Symposium on Signals, Circuits and Systems, ISSCS 2009 - Iasi, Romania
Duration: 9 Jul 200910 Jul 2009

Other

Other2009 International Symposium on Signals, Circuits and Systems, ISSCS 2009
CountryRomania
CityIasi
Period9/07/0910/07/09

Cite this

Antoniou, G., & Katsalis, P. A. (2009). 2-D Roger-Ramanujan continued fraction and inversion. In 2009 International Symposium on Signals, Circuits and Systems, ISSCS 2009 [5206204] https://doi.org/10.1109/ISSCS.2009.5206204
Antoniou, George ; Katsalis, P. A. / 2-D Roger-Ramanujan continued fraction and inversion. 2009 International Symposium on Signals, Circuits and Systems, ISSCS 2009. 2009.
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Antoniou, G & Katsalis, PA 2009, 2-D Roger-Ramanujan continued fraction and inversion. in 2009 International Symposium on Signals, Circuits and Systems, ISSCS 2009., 5206204, 2009 International Symposium on Signals, Circuits and Systems, ISSCS 2009, Iasi, Romania, 9/07/09. https://doi.org/10.1109/ISSCS.2009.5206204

2-D Roger-Ramanujan continued fraction and inversion. / Antoniou, George; Katsalis, P. A.

2009 International Symposium on Signals, Circuits and Systems, ISSCS 2009. 2009. 5206204.

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

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N2 - In this paper the generalized numerical Rogers - Ramanujan continued fraction expansion is extended to twodimensions(2-D). A new fast algorithm is proposed for the inversion of the 2-D Rogers - Ramanujan continued fraction expansion. The algorithm is based on matrix formulations. The simplicity and efficiency of the algorithm are illustrated by step-by-step examples.

AB - In this paper the generalized numerical Rogers - Ramanujan continued fraction expansion is extended to twodimensions(2-D). A new fast algorithm is proposed for the inversion of the 2-D Rogers - Ramanujan continued fraction expansion. The algorithm is based on matrix formulations. The simplicity and efficiency of the algorithm are illustrated by step-by-step examples.

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Antoniou G, Katsalis PA. 2-D Roger-Ramanujan continued fraction and inversion. In 2009 International Symposium on Signals, Circuits and Systems, ISSCS 2009. 2009. 5206204 https://doi.org/10.1109/ISSCS.2009.5206204