Chaotic dynamics of a third-order Newton-type method

Iterative Methods for the Solution of Equations.

David M. Young, J. F. Traub · American Mathematical Monthly · 1967 · 2.2K citations

Natural Sciences, Mathematics, Algorithms +15

Geometric constructions of iterative functions to solve nonlinear equations

Sergio Amat, Sonia Busquier, J.M. Gutiérrez · Journal of Computational and Applied Mathematics · 2003 · 294 citations · Full text

Natural Sciences, Computer Science, Mathematics +11

Quadratic equations and applications to Chandrasekhar's and related equations

Ioannis K. Argyros · Bulletin of the Australian Mathematical Society · 1985 · 196 citations · Full text

Natural Sciences, Mathematics, Applied Mathematics +6

Third-order iterative methods under Kantorovich conditions

Sergio Amat, Sonia Busquier · Journal of Mathematical Analysis and Applications · 2007 · 83 citations

Computing, Computer Science, Optimization +8

Newton's Method, Circle Maps, and Chaotic Motion

Donald G. Saari, John B. Urenko · American Mathematical Monthly · 1984 · 72 citations

Natural Sciences, Mathematics, Physics +14