Extension of Newton's method to nonlinear functions with values in a cone

Iterative Solution of Nonlinear Equations in Several Variables

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

Numerical Analysis, Nonlinear Equations, Nonlinear Equation +2

Constrained minimization methods

E. S. Levitin, B. T. Polyak · USSR Computational Mathematics and Mathematical Physics · 1966 · 835 citations

Numerical Analysis, Engineering, Minimization Methods +4

Computational Solution of Nonlinear Operator Equations

J. M. O., L. B. Rall · Mathematics of Computation · 1970 · 530 citations

Nonlinear Hyperbolic Problem, Computational Solution, Nonlinear Equation +1

A Newton-Raphson method for the solution of systems of equations

Adi Ben-Israel · Journal of Mathematical Analysis and Applications · 1966 · 348 citations

Numerical Analysis, Numerical Computation, Validated Numerics +4

The Newton-Kantorovich Theorem

J. M. Ortega · American Mathematical Monthly · 1968 · 174 citations

Engineering, Variational Analysis, Functional Analysis +4