Implementation of homotopy algorithms
Implementation of homotopy algorithms
Herbert Scarf's constructive proof of the Brouwer fixed point theorem in 1967 started the new field of homotopy algorithms. Many such algorithms have now been published and many examples of complex nonlinear problems which have been solved by homotopy algorithms have been given in the literature. Nevertheless, the dissemination of knowledge about homotopy algorithms into the wider research community is progressing only slowly. The discussion in this session will try to highlight problems in computer-implementations, difficulties in applications, and why despite superior capabilities of homotopy algorithms we have not seen a faster and wider spread of these techniques.
homotopy method
24-32
Mathematical Programming Society
Forster, Walter
fef01eda-bef4-47b3-892c-39236df17784
1997
Forster, Walter
fef01eda-bef4-47b3-892c-39236df17784
Forster, Walter
(1997)
Implementation of homotopy algorithms.
In Proceedings of ISMP 97: International Symposium on Mathematical Programming.
Mathematical Programming Society.
.
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Conference or Workshop Item
(Paper)
Abstract
Herbert Scarf's constructive proof of the Brouwer fixed point theorem in 1967 started the new field of homotopy algorithms. Many such algorithms have now been published and many examples of complex nonlinear problems which have been solved by homotopy algorithms have been given in the literature. Nevertheless, the dissemination of knowledge about homotopy algorithms into the wider research community is progressing only slowly. The discussion in this session will try to highlight problems in computer-implementations, difficulties in applications, and why despite superior capabilities of homotopy algorithms we have not seen a faster and wider spread of these techniques.
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Published date: 1997
Additional Information:
Session TH1-E-CO11
Venue - Dates:
ISMP 97: International Symposium on Mathematical Programming, Lausanne, Switzerland, 1997-08-23 - 1997-08-28
Keywords:
homotopy method
Identifiers
Local EPrints ID: 29153
URI: http://eprints.soton.ac.uk/id/eprint/29153
PURE UUID: c603bc9d-e0ce-44d8-a08f-7224cecaa9c3
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Date deposited: 10 Jan 2007
Last modified: 11 Dec 2021 15:12
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Author:
Walter Forster
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