On the minimum error in addition processes of positive floating-point numbers
A. Schurmann (1973)
Applicationes Mathematicae
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A. Schurmann (1973)
Applicationes Mathematicae
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Myoungho Oh, U Jin Choi (1997)
Kybernetika
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Hermoso-Carazo, A., Linares-Pérez, J. (2009)
Mathematical Problems in Engineering
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Miroslav Křížek (1975)
Aplikace matematiky
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Ioannis Argyros, Hongmin Ren (2008)
Open Mathematics
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We re-examine a quadratically convergent method using divided differences of order one in order to approximate a locally unique solution of an equation in a Banach space setting [4, 5, 7]. Recently in [4, 5, 7], using Lipschitz conditions, and a Newton-Kantorovich type approach, we provided a local as well as a semilocal convergence analysis for this method which compares favorably to other methods using two function evaluations such as the Steffensen’s method [1, 3, 13]. Here, we provide...
J. M. Martínez (1978)
Commentationes Mathematicae Universitatis Carolinae
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El Hassane Zerrik, Hamid Bourray (2003)
International Journal of Applied Mathematics and Computer Science
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The aim of this paper is to study regional gradient observability for a diffusion system and the reconstruction of the state gradient without the knowledge of the state. First, we give definitions and characterizations of these new concepts and establish necessary conditions for the sensor structure in order to obtain regional gradient observability. We also explore an approach which allows for a regional gradient reconstruction. The developed method is original and leads to a numerical...
Zabel, Ahmed, Alghamdi, Maryam (2011)
International Journal of Mathematics and Mathematical Sciences
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