The Algebraic Structure of the Arbitrary-Order Cone
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DOI: 10.1007/s10957-016-0878-1
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- Krokhmal, Pavlo A. & Soberanis, Policarpio, 2010. "Risk optimization with p-order conic constraints: A linear programming approach," European Journal of Operational Research, Elsevier, vol. 201(3), pages 653-671, March.
- PAVLO A. Krokhmal, 2007. "Higher moment coherent risk measures," Quantitative Finance, Taylor & Francis Journals, vol. 7(4), pages 373-387.
- F. Glineur & T. Terlaky, 2004.
"Conic Formulation for l p -Norm Optimization,"
Journal of Optimization Theory and Applications, Springer, vol. 122(2), pages 285-307, August.
- GLINEUR, François & TERLAKY, Tamas, 2004. "Conic formulation for lp-norm optimization," LIDAM Reprints CORE 1726, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Alexander Vinel & Pavlo Krokhmal, 2014. "On Valid Inequalities for Mixed Integer p-Order Cone Programming," Journal of Optimization Theory and Applications, Springer, vol. 160(2), pages 439-456, February.
- Luca Bertazzi & Francesca Maggioni, 2015. "Solution Approaches for the Stochastic Capacitated Traveling Salesmen Location Problem with Recourse," Journal of Optimization Theory and Applications, Springer, vol. 166(1), pages 321-342, July.
- F. Maggioni & F. A. Potra & M. I. Bertocchi & E. Allevi, 2009. "Stochastic Second-Order Cone Programming in Mobile Ad Hoc Networks," Journal of Optimization Theory and Applications, Springer, vol. 143(2), pages 309-328, November.
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Cited by:
- Xin-He Miao & Yen-chi Roger Lin & Jein-Shan Chen, 2017. "A Note on the Paper “The Algebraic Structure of the Arbitrary-Order Cone”," Journal of Optimization Theory and Applications, Springer, vol. 173(3), pages 1066-1070, June.
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Keywords
pth-order cones; Second-order cones; Euclidean Jordan algebras;All these keywords.
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