A further note on "On the equation aX⁴-bY² = 2"
(2009)
Acta Arithmetica
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(2009)
Acta Arithmetica
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O'Leary, Mike (1997)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Brock, Friedemann (1999)
Journal of Inequalities and Applications [electronic only]
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Doney, R.A. (2004)
Electronic Journal of Probability [electronic only]
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Thomas Sonar (2005)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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We consider the classical Interpolating Moving Least Squares (IMLS) interpolant as defined by Lancaster and Šalkauskas [Math. Comp. 37 (1981) 141–158] and compute the first and second derivative of this interpolant at the nodes of a given grid with the help of a basic lemma on Shepard interpolants. We compare the difference formulae with those defining optimal finite difference methods and discuss their deviation from optimality.
Kečkić, Jovan D. (1983)
Publications de l'Institut Mathématique. Nouvelle Série
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Gorman, Arthur D. (1984)
International Journal of Mathematics and Mathematical Sciences
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Pathak, R.S., Pathak, S. (2004)
International Journal of Mathematics and Mathematical Sciences
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Bogoljub Stanković (1975)
Publications de l'Institut Mathématique
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Rachid Benouahboun, Abdelatif Mansouri (2005)
RAIRO - Operations Research - Recherche Opérationnelle
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We describe an interior point algorithm for convex quadratic problem with a strict complementarity constraints. We show that under some assumptions the approach requires a total of number of iterations, where is the input size of the problem. The algorithm generates a sequence of problems, each of which is approximately solved by Newton’s method.
Xia, Ye (2008)
Journal of Inequalities and Applications [electronic only]
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Szostok, Tomasz (1999)
Journal of Inequalities and Applications [electronic only]
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Guesmi, Sana, Fitouhi, Ahmed (2010)
International Journal of Mathematics and Mathematical Sciences
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