Open AccessOn the convergence of multipoint iterations
Author(s) -
G. W. Stewart
Publication year - 1994
Publication title -
numerische mathematik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.214
H-Index - 90
eISSN - 0945-3245
pISSN - 0029-599X
DOI - 10.1007/s002110050053
Subject(s) - mathematics , convergence (economics) , fixed point , argument (complex analysis) , fixed point iteration , numerical analysis , point (geometry) , calculus (dental) , mathematical analysis , geometry , economics , economic growth , medicine , biochemistry , chemistry , dentistry
Summary. This note gives a new convergence proof for iterations based on multipoint formulas. It rests on the very general assumption that if the desired fixed point appears as an argument in the formula then the formula returns the fixed point.
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