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Author Bach, H.
Source ACM Digital Library
Content type Text
Publisher Association for Computing Machinery (ACM)
File Format PDF
Language English
Subject Keyword Complex iteration ♦ Complex relaxation method ♦ Algebraic complex equation ♦ Transcendental complex equation ♦ Complex equation ♦ Downhill method
Abstract The downhill method is a numerical method for solving complex equations ƒ(z) = 0 on which the only restriction is that the function w = ƒ(z) must be analytical. An introduction to this method is given and a critical review of relating literature is presented. Although in theory the method always converges, it is shown that a fundamental dilemma exists which may cause a breakdown in practical applications. To avoid this difficulty and to improve the rate of convergence toward a root, some modifications of the original method are proposed and a program (FORTRAN) based on the modified method is given in Algorithm 365. Some numerical examples are included.
Description Affiliation: Technical Univ. of Denmark, Lyngby, Denmark (Bach, H.)
Age Range 18 to 22 years ♦ above 22 year
Educational Use Research
Education Level UG and PG
Learning Resource Type Article
Publisher Date 2005-08-01
Publisher Place New York
Journal Communications of the ACM (CACM)
Volume Number 12
Issue Number 12
Page Count 3
Starting Page 675
Ending Page 677


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Source: ACM Digital Library