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›› 2005, Vol. 22 ›› Issue (1): 51-58.DOI: 10.7523/j.issn.2095-6134.2005.1.008

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Proof of the Non-Optimality of JPA and MJPA for Mult-i Formal Laurent Series

Wang Quanlong, Dai Zongduo   

  1. State Key Laboratory of Information Security, Graduate School of the Chinese Academy of Sciences, Beijing 100049, China
  • Received:2004-04-06 Online:2005-01-15

Abstract:

Based on the theory of multidimensional continued fraction, this paper verifies by example that neither JPA nor MJPA can guarantee opt imal rational approximation for mult-i formal Laurent series in general

Key words: multidimensional continued fraction transform( m-CFT), Jacob-i Perron algorithm ( JPA ), modified Jacob-i Perron algorithm(MJPA), opt imal rational approximation

CLC Number: