Access Restriction

Author Wasilkowski, G. W.
Source ACM Digital Library
Content type Text
Publisher Association for Computing Machinery (ACM)
File Format PDF
Copyright Year ©1980
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
Abstract All known globally convergent iterations for the solution of a nonlinear operator equation $ƒ(\textit{x})$ = 0 are either nonstationary or use nonlinear information. It is asked whether there exists a globally convergent stationary iteration which uses linear information. It is proved that even if global convergence is defined in a weak sense, there exists $\textit{no}$ such iteration for as simple a class of problems as the set of all analytic complex functions having only simple zeros. It is conjectured that even for the class of all real polynomials which have real simple zeros there does not exist a globally convergent stationary iteration using linear information.
ISSN 00045411
Age Range 18 to 22 years ♦ above 22 year
Educational Use Research
Education Level UG and PG
Learning Resource Type Article
Publisher Date 1980-04-01
Publisher Place New York
e-ISSN 1557735X
Journal Journal of the ACM (JACM)
Volume Number 27
Issue Number 2
Page Count 7
Starting Page 263
Ending Page 269

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Source: ACM Digital Library