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.
Problems and solutions by the application of Julia set theory to one-dot and multi-dots numerical methods.
Tomova, Anna (2001)
International Journal of Mathematics and Mathematical Sciences
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Strict Chebyshev Approximation for General Systems of Linear Equations.
J.P., Thiry, S. Thiran (1987)
Numerische Mathematik
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On the Alternants Appearing in Chebyshev's Best Approximation Problem.
F. BRIONES (1964)
Numerische Mathematik
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On a Class of Chebyshev Approximation Problems Which Arise in Connection with a Conjugate Gradient Type Method.
Stephan Ruscheweyh, Roland Freund (1986)
Numerische Mathematik
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A general Approach to Methods with a Sparse Jacobian for Solving Nonlinear Systems of Equations
Kyurkchiev, Nikolay, Iliev, Anton (2007)
Serdica Mathematical Journal
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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...
On the Numerical Determination of the Best Approximations in the Chebyshev Sense.
L. VEIDINGER (1960)
Numerische Mathematik
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On weak Chebyshev subspaces and Chebyshev approximation by their elements
R. Smarzewski (1979)
Applicationes Mathematicae
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Some Remarks on M-convexity and Best Approximation
T. D. Narang (1985)
Publications de l'Institut Mathématique
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Transformed Rational Chebyshev Approximation. II.
CH.B. DUNHAM (1968)
Numerische Mathematik
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A result on Chebyshev centres
T. D. Narang (1986)
Matematički Vesnik
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Proximinality and co-proximinality in metric linear spaces
T.D. Narang, Sahil Gupta (2015)
Annales UMCS, Mathematica
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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
Remarks on Chebyshev coordinates.
Burago, Yu.D., Ivanov, S.V., Malev, S.G. (2005)
Journal of Mathematical Sciences (New York)
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An extension of Chebyshev's inequality
K. Sarkadi (1969)
Applicationes Mathematicae
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Handbook Series Methods of Approximation. Rational Chebyshev Approximation.
J. STOER, H. WERNER, W. BOMMAS (1967)
Numerische Mathematik
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Handbook Series Methods of Approximation. Rational Chebyshev Approximation Using Linear Equations.
W.J. CODY, W. FRASER, J.F. HART (1968)
Numerische Mathematik
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