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Matematicheskie Zametki, 2006, Volume 79, Issue 1, Pages 45–59
DOI: https://doi.org/10.4213/mzm2673 (Mi mzm2673) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Berlekamp–Massey Algorithm, Continued Fractions, Padé Approximations, and Orthogonal Polynomials

S. B. Gashkova, I. B. Gashkovb

a M. V. Lomonosov Moscow State University
b Karlstads University
Full-text PDF (240 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm2673
Abstract: The Berlekamp–Massey algorithm (further, the BMA) is interpreted as an algorithm for constructing Padé approximations to the Laurent series over an arbitrary field with singularity at infinity. It is shown that the BMA is an iterative procedure for constructing the sequence of polynomials orthogonal to the corresponding space of polynomials with respect to the inner product determined by the given series. The BMA is used to expand the exponential in continued fractions and calculate its Pade approximations.
Received: 16.02.2005
English version:
Mathematical Notes, 2006, Volume 79, Issue 1, Pages 41–54
DOI: https://doi.org/10.1007/s11006-006-0004-z
Bibliographic databases:
UDC: 517.51
Language: Russian
Citation: S. B. Gashkov, I. B. Gashkov, “Berlekamp–Massey Algorithm, Continued Fractions, Padé Approximations, and Orthogonal Polynomials”, Mat. Zametki, 79:1 (2006), 45–59; Math. Notes, 79:1 (2006), 41–54
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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