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]

open access: yes, 2017
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
core   +2 more sources

Ball convergence of a stable fourth-order family for solving nonlinear systems under weak conditions [PDF]

open access: yes, 2017
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
core   +2 more sources

Geometric fit of a point set by generalized circles [PDF]

open access: yes, 2010
Circle location, Dimensional facility, Minisum, Polyhedral norms, 62J02, 65D10, 90C26, 90B85, 97N50,
Jack Brimberg   +9 more
core   +1 more source

Deficient quartic spline of Marsden type with minimal deviation by the data polygon

open access: yes, 2023
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
core   +1 more source

Ball convergence for combined three-step methods under generalized conditions in Banach space

open access: yes, 2020
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
core   +2 more sources

Extending the Applicability of the Super-Halley-Like Method Using ω-Continuous Derivatives and Restricted Convergence Domains

open access: yesAnnales Mathematicae Silesianae, 2019
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
doaj   +1 more source

Ball comparison for three optimal eight order methods under weak conditions

open access: yes, 2019
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
core   +2 more sources

On elliptic curves with a closed component passing through a hexagon

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
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
doaj   +1 more source

3D curve regularization

open access: yes, 2022
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
core   +1 more source

A unified local convergence for Chebyshev-Halley-type methods in Banach space under weak conditions [PDF]

open access: yes, 2015
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
core   +1 more source

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