𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On a theorem of S. Smale about Newton's method for analytic mappings

✍ Scribed by Werner C. Rheinboldt


Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
220 KB
Volume
1
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


A semi-local convergence theorem for a r
✍ Zhengyu Wang; Xinyuan Wu πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 462 KB

It is well known that Newton's iteration will abort due to the overflow if the derivative of the function at an iterate is singular or almost singular. In this paper, we study a robust revised Newton's method for solving nonlinear equations, which can be carried out with a starting point with a dege

Newton's Method for Analytic Systems of
✍ Jean-Pierre Dedieu; Myong-Hi Kim πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 154 KB

In this paper we study the convergence properties of Newton's sequence for analytic systems of equations with constant rank derivatives. Our main result is an alpha-theorem which ensures the convergence of Newton's sequence to a leastsquare solution of this system.