Newton-type iterations as approximations of Chebyshev's method.
Ezquerro, J.A., Hernández, M.A. (1998)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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Displaying similar documents to “Newton, Chebyshev, and Halley Basins of Attraction; A Complete Geometric Approach”
Newton-type iterations as approximations of Chebyshev's method.
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2000 Mathematics Subject Classification: 65H10. Here we give methodological survey of contemporary methods for solving nonlinear systems of equations in Rn. The reason of this review is that many authors in present days rediscovered such classical methods. In particular, we consider Newton’s-type algorithms with sparse Jacobian. Method for which the inverse matrix of the Jacobian is replaced by the inverse matrix of the Vandermondian is proposed. A number of illustrative numerical...
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As a counterpart to best approximation, the concept of best coapproximation was introduced in normed linear spaces by C. Franchetti and M. Furi in 1972. Subsequently, this study was taken up by many researchers. In this paper, we discuss some results on the existence and uniqueness of best approximation and best coapproximation when the underlying spaces are metric linear spaces
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