A convergence theorem for Newton-like methods in Banach spaces

Iterative Solution of Nonlinear Equations in Several Variables

E. I., J. M. Ortega, Werner C. Rheinboldt · Mathematics of Computation · 1971 · 4.5K citations

Natural Sciences, Mathematics, Differential Equations +9

Computational Solution of Nonlinear Operator Equations

J. M. O., L. B. Rall · Mathematics of Computation · 1970 · 531 citations

Natural Sciences, Computational Engineering, Mathematics +14

Affine Invariant Convergence Theorems for Newton’s Method and Extensions to Related Methods

Peter Deuflhard, Gerhard Heindl · SIAM Journal on Numerical Analysis · 1979 · 259 citations

Computing, Computer Science, Algorithms +11

A Unified Convergence Theory for a Class of Iterative Processes

Werner C. Rheinboldt · SIAM Journal on Numerical Analysis · 1968 · 195 citations

Computing, Computer Science, Algorithms +6

Optimal Error Bounds for the Newton–Kantorovich Theorem

William B. Gragg, R. A. Tapia · SIAM Journal on Numerical Analysis · 1974 · 168 citations

Computing, Computer Science, Mathematics +16