ISSN:
0945-3245
Keywords:
AMS(MOS)
;
65G99
;
65J15
;
CR: G1.5
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Summary A convergence theorem for Newton-like methods in Banach spaces is given, which improves results of Rheinboldt [27], Dennis [4], Miel [15, 16] and Moret [18] and includes as a special case an updated (affine-invariant [6]) version of the Kantorovich theorem for the Newton method given in previous papers [35, 36]. Error bounds obtained in [34] are also improved. This paper unifies the study of finding sharp error bounds for Newton-like methods under Kantorovich type assumptions.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01400355
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