Error bounds for the modified Newton's method

1 June 1976

journal article
research article
Published by Cambridge University Press (CUP) in Bulletin of the Australian Mathematical Society

Vol. 14 (3) , 427-433
https://doi.org/10.1017/s0004972700025351

Abstract

A strengthened form of the Kantorovich convergence theorem for the modified Newton's method is proved. The result is compared with previously known results.

Keywords

STRENGTHENED
THEOREM
MODIFIED NEWTON'S METHOD
ERROR BOUNDS
KANTOROVICH CONVERGENCE
KNOWN RESULTS

This publication has 1 reference indexed in Scilit:

On the Kantorovich Hypothesis for Newton’s Method
SIAM Journal on Numerical Analysis, 1969