Results 11 to 20 of about 73 (67)
Extended local convergence analysis of inexact Gauss-Newton method for singular systems of equations under weak conditions [PDF]
A new local convergence analysis of the Gauss-Newton method for solving some optimization problems is presented using restricted convergence domains. The results extend the applicability of the Gauss-Newton method under the same computational cost given ...
ARGYROS , Ioannis K., GEORGE, Santhosh
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Ball convergence of a stable fourth-order family for solving nonlinear systems under weak conditions [PDF]
We present a local convergence analysis of fourth-order methods in order to approximate a locally unique solution of a nonlinear equation in Banach space setting.
KANWAR, Vinay +2 more
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Geometric fit of a point set by generalized circles [PDF]
Circle location, Dimensional facility, Minisum, Polyhedral norms, 62J02, 65D10, 90C26, 90B85, 97N50,
Jack Brimberg +9 more
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Deficient quartic spline of Marsden type with minimal deviation by the data polygon
In this work we construct the deficient quartic spline with the knots following the Marsden’s scheme and prove the existence and uniqueness of the deficient quartic spline with minimal deviation by the data polygon.
Diana Curila Popescu +1 more
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Ball convergence for combined three-step methods under generalized conditions in Banach space
We give a local convergence analysis for an eighth-order convergent method in order to approximate a locally unique solution of nonlinear equation for Banach space valued operators. In contrast to the earlier studies using hypotheses up to the seventh Fr´
MOTSA, Sandile S. +3 more
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We present a local convergence analysis of the super-Halley-like method in order to approximate a locally unique solution of an equation in a Banach space setting.
Argyros Ioannis K., George Santhosh
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Ball comparison for three optimal eight order methods under weak conditions
We considered three optimal eighth order method for solving nonlinear equations. In earlier studies Taylors expansions and hypotheses reaching up to the eighth derivative are used to prove the convergence of these methods.
ARGYROS, Ioannis K., GEORGE, Santhosh
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On elliptic curves with a closed component passing through a hexagon
In general, there exists an ellipse passing through the vertices of a convex pentagon, but any ellipse passing through the vertices of a convex hexagon does not have to exist.
Kureš Miroslav
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In this paper, we study the regularization of 3D curves connecting two points. We propose an energy-based formulation which is an extension to 3D of the geodesic active contours introduced in 2D by Caselles et al. in 1997.
Alvarez, Luis, Luis Alvarez
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A unified local convergence for Chebyshev-Halley-type methods in Banach space under weak conditions [PDF]
We present a unified local convergence analysis for Chebyshev-Halley- type methods in order to approximate a solution of a nonlinear equation in a Banach space setting. Our methods include the Chebyshev; Halley; super-Halley and other high order methods.
ARGYROS, Ioannis K., GEORGE, Santhosh
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