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Globally convergent monotonic suppression techniques for automatic root finders in vibration analysis
Author(s) -
Davies M.,
Dawson B.
Publication year - 1986
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620230104
Subject(s) - monotonic function , instability , vibration , residual , mathematics , feature (linguistics) , class (philosophy) , iterative method , control theory (sociology) , algorithm , mathematical analysis , computer science , artificial intelligence , mechanics , acoustics , physics , linguistics , philosophy , control (management)
An examination is made of suppression techniques used to obtain global monotonicity when applying iterative processes to the determination of the zeros of residual functions in linear vibration analysis. It is shown that, when computational errors are taken into account, induced instability is a ubiquitous feature of this class of techniques. A method of inhibiting this instability behaviour is presented which at the same time avoids missing zeros between the restarting value and the last determined zero on restarting the iteration.