Sharp error bounds for Newton's process

Lecture Notes in Mathematics

Stéphane Crépey, Olivier Guéant, David Hobson et al. · HAL (Le Centre pour la Communication Scientifique Directe) · 2011 · 10.2K citations

Natural Sciences, Mathematics, Mathematics Education +4

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

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

The Kantorovich Theorem for Newton's Method

R. A. Tapia · American Mathematical Monthly · 1971 · 107 citations

Natural Sciences, Mathematics, Physics +11

The rate of convergence of Newton's process

Vlastimil Pt�k · Numerische Mathematik · 1975 · 42 citations

Computing, Computer Science, Scientific Computing +4