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The Round‐off Stability of Iterations
Author(s) -
Ostrowski A. M.
Publication year - 1967
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19670470202
Subject(s) - convergence (economics) , stability (learning theory) , collatz conjecture , mathematics , index (typography) , mathematical optimization , computer science , discrete mathematics , economics , conjecture , machine learning , world wide web , economic growth
The author proves that in the Weissinger‐Collatz‐Schroeder Theorem on convergence of iterations the convergence remains if round‐off errors are allowed, which must however tend to 0 with growing index.
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