A convergent tangential approximation procedure for a decomposable nonlinear system

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Authors
Cohen, Stephen H.
Issue Date
1975-06
Type
Electronic thesis
Thesis
Language
ENG
Keywords
Mathematical programming
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Abstract
Finally convergence theory that may be applied to investigate the convergence of cutting plane algorithms that do not require exact cuts is presented. This theory is of interest when the parameters of the cuts can not be calculated with a finite number of arithmetic operations and function evaluations. The theory indicates when one may truncate the calculations of the parameters after only a finite number of arithmetic operations and function evaluations without affecting convergence. The theory is applied to one aspect of the Tangential Approximation Procedure to indicate its possibilities.
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June 1975
School of Science
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Rensselaer Polytechnic Institute, Troy, NY
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