Modification of the Kantorovich assumptions for semilocal convergence of the Chebyshev method

By M. A. Hernández, M. A. Salanova. 2000

118 citations recorded by the source corpus.

Subfields: Modeling and Simulation, Numerical Analysis, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/035526461cbae7232629b12191e89990e7e9639d

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In Modeling and Simulation

1. Xintao Ye
2. Chong Li

In Numerical Analysis

1. Xintao Ye
2. Chong Li

In Statistics and Probability

1. Xintao Ye
2. Chong Li

Citations in the corpus

• Convergence of the family of the deformed Euler-Halley iterations under the Hölder condition of the second derivative (2006, methodology): “The important cubical generalizations of the Newton method are the well-known Chebyshev method (or Euler method) [1,3,15, 16 ] and the Halley method [4,2,12,15].”