Evaluation schemes in the ring of quaternionic polynomials-Reference-Cited by-同舟云学术

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Evaluation schemes in the ring of quaternionic polynomials

Published:2017-06-19 Issue:1 Volume:58 Page:51-72
ISSN:0006-3835
Container-title:BIT Numerical Mathematics
language:en
Short-container-title:Bit Numer Math

Author:

Falcão M. Irene^ORCID,Miranda Fernando^ORCID,Severino Ricardo,Soares M. Joana^ORCID

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Computer Networks and Communications,Software

Link

http://link.springer.com/article/10.1007/s10543-017-0667-8/fulltext.html

Reference23 articles.

1. Clenshaw, C.W.: A note on the summation of Chebyshev series. Math. Comput. 9(51), 118–120 (1955)

2. Davis, P.J.: Interpolation and Approximation. Blaisdell Publishing Co. Ginn and Co., New York (1963)

3. Falcão, M.I., Miranda, F.: Quaternions: a Mathematica package for quaternionic analysis. Lect. Notes Comput. Sci. 6784, 200–214 (2011)

4. Gentleman, W.M.: An error analysis of Goertzel’s (Watt’s) method for computing Fourier coefficients. Comput. J. 12, 160–165 (1969)

5. Goertzel, G.: An algorithm for the evaluation of finite trigonometric series. Am. Math. Mon. 65, 34–35 (1958)

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1. On the Leonardo quaternions sequence;Hacettepe Journal of Mathematics and Statistics;2024-08-27

2. Factorization and root-finding for polynomials over division quaternion algebras;Proceedings of the 2023 International Symposium on Symbolic and Algebraic Computation;2023-07-24

3. A Two-Step Quaternionic Root-Finding Method;Computational Science and Its Applications – ICCSA 2023 Workshops;2023

4. A Modified Quaternionic Weierstrass Method;Computational Science and Its Applications – ICCSA 2022 Workshops;2022

5. The number of zeros of unilateral polynomials over coquaternions revisited;Linear and Multilinear Algebra;2018-03-20

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