Implementation of homotopy algorithms

Forster, Walter (1997) Implementation of homotopy algorithms. In, Proceedings of ISMP 97: International Symposium on Mathematical Programming. ISMP 97: International Symposium on Mathematical Programming Philadelphia, USA, Mathematical Programming Society., 24-32.


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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.

Item Type: Book Section
Additional Information: Session TH1-E-CO11
Related URLs:
Keywords: homotopy method
Subjects: Q Science > QA Mathematics
Divisions : University Structure - Pre August 2011 > School of Mathematics > Applied Mathematics
ePrint ID: 29153
Accepted Date and Publication Date:
Date Deposited: 10 Jan 2007
Last Modified: 31 Mar 2016 11:54

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