SimpleS
| swMATH ID: | 4413 |
| Software Authors: | Gonçalves, Eduardo N.; Palhares, Reinaldo M.; Takahashi, Ricardo H. C.; Mesquita, Renato C. |
| Description: | Algorithm 860: SimpleS – an extension of Freudenthal’s simplex subdivision. This article presents a simple efficient algorithm for the subdivision of a \(d\)-dimensional simplex in \(k^d\) simplices, where \(k\) is any positive integer number. The algorithm is an extension of Freudenthal’s subdivision method. The proposed algorithm deals with the more general case of \(k^d\) subdivision, and is considerably simpler than the {ssf RedRefinementND} algorithm for implementation of Freudenthal’s strategy. The proposed simplex subdivision algorithm is motivated by a problem in the field of robust control theory: the computation of a tight upper bound of a dynamical system performance index by means of a branch-and-bound algorithm. |
| Homepage: | http://dl.acm.org/citation.cfm?id=1186792 |
| Related Software: | YALMIP; SeDuMi; Robotics; HIFOO; Mosek; GloptiPoly; NSGA-II; LMI toolbox; LGO; Global Optimization Toolbox For Maple; Qhull |
| Cited in: | 7 Documents |
Standard Articles
| 1 Publication describing the Software, including 1 Publication in zbMATH | Year |
|---|---|
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Algorithm 860: SimpleS – an extension of Freudenthal’s simplex subdivision. Zbl 1230.65066 Gonçalves, Eduardo N.; Palhares, Reinaldo M.; Takahashi, Ricardo H. C.; Mesquita, Renato C. |
2006
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top 5
Cited by 19 Authors
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top 5
Cited in 7 Serials
Cited in 4 Fields
| 3 | Numerical analysis (65-XX) |
| 3 | Systems theory; control (93-XX) |
| 1 | Mechanics of deformable solids (74-XX) |
| 1 | Operations research, mathematical programming (90-XX) |
