Open AccessON THE CONVERGENCE OF SOME PROJECTION METHODS AND INEXACT NEWTON-LIKE ITERATIONS
Author(s) -
Ioannis K. Argyros
Publication year - 1994
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.25.1994.4462
Subject(s) - mathematics , projection (relational algebra) , convergence (economics) , newton's method , projection method , type (biology) , mathematical optimization , calculus (dental) , algorithm , dykstra's projection algorithm , nonlinear system , physics , quantum mechanics , economics , economic growth , medicine , ecology , dentistry , biology
We provide a general theorem for the convergence of some projection methods for inexact Newton-like iterations under Yamamoto-type assumptions. Our results extend and improve several situations already appeared in the literature.