Ioannis K. Argyros

A unifying local–semilocal convergence analysis and applications for two-point Newton-like methods in Banach space

Ioannis K. Argyros · Journal of Mathematical Analysis and Applications · 2004 · 259 citations

Numerical Analysis, Engineering, Variational Analysis +7

Weaker conditions for the convergence of Newton’s method

Ioannis K. Argyros, Saïd Hilout · Journal of Complexity · 2012 · 224 citations

Numerical Analysis, Numerical Stability, Weaker Conditions +1

Quadratic equations and applications to Chandrasekhar's and related equations

Ioannis K. Argyros · Bulletin of the Australian Mathematical Society · 1985 · 193 citations · Full text

Nonlinear Functional Analysis, Integral Equation, Contraction Mapping Theorem +4

On the Newton–Kantorovich hypothesis for solving equations

Ioannis K. Argyros · Journal of Computational and Applied Mathematics · 2004 · 153 citations

Nonlinear Equation, Newton–kantorovich Hypothesis, Linear Equation

A note on the Halley method in Banach spaces

Dong Chen, Ioannis K. Argyros, Q. Qian · Applied Mathematics and Computation · 1993 · 120 citations

Interpolation Space, Harmonic Space, Functional Analysis +1