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On the Polynomial Multiplication in Chebyshev Form
Date
2012-04-01
Author
Akleylek, Sedat
Cenk, Murat
Özbudak, Ferruh
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We give an efficient multiplication method for polynomials in Chebyshev form. This multiplication method is different from the previous ones. Theoretically, we show that the number of multiplications is at least as good as Karatsuba-based algorithm. Moreover, using the proposed method, we improve the number of additions slightly. We remark that our method works efficiently for any N and it is easy to implement. To the best of our knowledge, the proposed method has the best multiplication and addition complexity for the N-term polynomial multiplication in Chebyshev form with 3 <= N <= 13.
Subject Keywords
Chebyshev polynomials
,
Theory of computation
,
Multiplication of polynomials
,
Arithmetic complexity
URI
https://hdl.handle.net/11511/32195
Journal
IEEE TRANSACTIONS ON COMPUTERS
DOI
https://doi.org/10.1109/tc.2011.38
Collections
Graduate School of Applied Mathematics, Article
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S. Akleylek, M. Cenk, and F. Özbudak, “On the Polynomial Multiplication in Chebyshev Form,”
IEEE TRANSACTIONS ON COMPUTERS
, pp. 584–587, 2012, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/32195.