Computing the Minkowski sum of prisms
Pallaschke D, Rosenmüller J (2006)
Journal of Global Optimization 35(2): 321-341.
Zeitschriftenaufsatz
| Veröffentlicht | Englisch
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Autor*in
Pallaschke, D.;
Rosenmüller, JoachimUniBi
Abstract / Bemerkung
Within this paper we study the Minkowski sum of prisms ("Cephoids") in a finite dimensional vector space. For a vector a is an element of R-n with positive components we write (a) over bar=(1/(a) over bar (1),..., 1/(a) over bar (n) and denote by Pi = Pi((a) over bar)={x is an element of R-n\[(a) over bar, x] <= 1, x >= 0} the associated prism. We provide a representation of a finite sum of prisms in terms of inequalities.
Stichworte
polytopes;
convex analysis;
minkowski sum
Erscheinungsjahr
2006
Zeitschriftentitel
Journal of Global Optimization
Band
35
Ausgabe
2
Seite(n)
321-341
ISSN
0925-5001
Page URI
https://pub.uni-bielefeld.de/record/1598790
Zitieren
Pallaschke D, Rosenmüller J. Computing the Minkowski sum of prisms. Journal of Global Optimization. 2006;35(2):321-341.
Pallaschke, D., & Rosenmüller, J. (2006). Computing the Minkowski sum of prisms. Journal of Global Optimization, 35(2), 321-341. https://doi.org/10.1007/s10898-005-3841-5
Pallaschke, D., and Rosenmüller, Joachim. 2006. “Computing the Minkowski sum of prisms”. Journal of Global Optimization 35 (2): 321-341.
Pallaschke, D., and Rosenmüller, J. (2006). Computing the Minkowski sum of prisms. Journal of Global Optimization 35, 321-341.
Pallaschke, D., & Rosenmüller, J., 2006. Computing the Minkowski sum of prisms. Journal of Global Optimization, 35(2), p 321-341.
D. Pallaschke and J. Rosenmüller, “Computing the Minkowski sum of prisms”, Journal of Global Optimization, vol. 35, 2006, pp. 321-341.
Pallaschke, D., Rosenmüller, J.: Computing the Minkowski sum of prisms. Journal of Global Optimization. 35, 321-341 (2006).
Pallaschke, D., and Rosenmüller, Joachim. “Computing the Minkowski sum of prisms”. Journal of Global Optimization 35.2 (2006): 321-341.
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