Ball convergence theorems and the convergence planes of an iterative method for nonlinear equations
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Publication:890783
DOI10.1007/s40324-015-0047-8zbMath1326.65022OpenAlexW1142087095MaRDI QIDQ890783
Ioannis K. Argyros, Ángel Alberto Magreñán
Publication date: 13 November 2015
Published in: S\(\vec{\text{e}}\)MA Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40324-015-0047-8
Numerical smoothing, curve fitting (65D10) Nonlinear programming (90C30) Numerical computation of solutions to single equations (65H05) Numerical approximation and computational geometry (primarily algorithms) (65D99)
Related Items (9)
Unified local convergence for a certain family of methods in Banach space ⋮ Extending the applicability of the MMN-HSS method for solving systems of nonlinear equations under generalized conditions ⋮ An improvement of derivative-free point-to-point iterative processes with central divided differences ⋮ Larger convergence regions for an efficient two-step iterative method ⋮ Newton-like methods with increasing order of convergence and their convergence analysis in Banach space ⋮ Local convergence of a Newton-Traub composition in Banach spaces ⋮ Local convergence of Newton-HSS methods with positive definite Jacobian matrices under generalized conditions ⋮ ON A CLASS OF EFFICIENT HIGHER ORDER NEWTON-LIKE METHODS ⋮ Local convergence for multistep high order methods under weak conditions
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