After notes on Chebyshev’s iterative method
2017 ◽
Vol 2
(1)
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pp. 1-12
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AbstractThis paper is a small review of Chebyshev’s method. The geometric interpretation as a generalization of Newton’s method is derived. Using this interpretation its global convergence is proved. Some dynamical properties are studied. As a higher order method, they are more complicated than in Newton’s method. Finally, some applications are revisited pointing out the advantages of Chebyshev’s method with respect Newton’s method.
2015 ◽
Vol 34
(2)
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pp. 197-211
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2012 ◽
Vol 220-223
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pp. 2585-2588
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1994 ◽
Vol 19
(2)
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pp. 352-389
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2014 ◽
Vol 62
(11)
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pp. 5634-5646
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2012 ◽
Vol 220-223
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pp. 2658-2661
Keyword(s):
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