An Example of Singularity in Nonlinear Systems

An Example of Singularity in Nonlinear Systems Certain practical constrained global optimization problems have to date defied practical solution with interval branch and bound methods. The exact mechanism causing the difficulty has been difficult to pinpoint. Here, an example is given where the equality constraint set has higher-order singularities and degenerate manifolds of singularities on the feasible set. The reason that this causes problems is discussed, and ways of fixing it are suggested. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Reliable Computing Springer Journals

An Example of Singularity in Nonlinear Systems

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Publisher
Kluwer Academic Publishers
Copyright
Copyright © 2001 by Kluwer Academic Publishers
Subject
Mathematics; Numeric Computing; Approximations and Expansions; Computational Mathematics and Numerical Analysis; Mathematical Modeling and Industrial Mathematics
ISSN
1385-3139
eISSN
1573-1340
D.O.I.
10.1023/A:1011484228528
Publisher site
See Article on Publisher Site

Abstract

Certain practical constrained global optimization problems have to date defied practical solution with interval branch and bound methods. The exact mechanism causing the difficulty has been difficult to pinpoint. Here, an example is given where the equality constraint set has higher-order singularities and degenerate manifolds of singularities on the feasible set. The reason that this causes problems is discussed, and ways of fixing it are suggested.

Journal

Reliable ComputingSpringer Journals

Published: Oct 3, 2004

References

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