Geodesic
Balanced Complex Polytopes and Related Vector and Matrix Norms
Journal of convex analysis, Tome 14 (2007) no. 4, pp. 729-766
Cet article a éte moissonné depuis la source Heldermann Verlag

Voir la notice de l'article

We study the notion of balanced complex polytope as a generalization of a symmetric real polytope to the complex space Cn. We pay particular attention to the geometric properties of such complex polytopes and of their counterparts in the adjoint form. In particular, we stress the differences occurring with respect to the well-known real case. We also introduce and discuss the related definitions of complex polytope norm and adjoint complex polytope norm. 
@article{JCA_2007_14_4_JCA_2007_14_4_a3,
     author = {N. Guglielmi and M. Zennaro},
     title = {Balanced {Complex} {Polytopes} and {Related} {Vector} and {Matrix} {Norms}},
     journal = {Journal of convex analysis},
     pages = {729--766},
     year = {2007},
     volume = {14},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JCA_2007_14_4_JCA_2007_14_4_a3/}
}
TY  - JOUR
AU  - N. Guglielmi
AU  - M. Zennaro
TI  - Balanced Complex Polytopes and Related Vector and Matrix Norms
JO  - Journal of convex analysis
PY  - 2007
SP  - 729
EP  - 766
VL  - 14
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/JCA_2007_14_4_JCA_2007_14_4_a3/
ID  - JCA_2007_14_4_JCA_2007_14_4_a3
ER  - 
%0 Journal Article
%A N. Guglielmi
%A M. Zennaro
%T Balanced Complex Polytopes and Related Vector and Matrix Norms
%J Journal of convex analysis
%D 2007
%P 729-766
%V 14
%N 4
%U http://geodesic.mathdoc.fr/item/JCA_2007_14_4_JCA_2007_14_4_a3/
%F JCA_2007_14_4_JCA_2007_14_4_a3
N. Guglielmi; M. Zennaro. Balanced Complex Polytopes and Related Vector and Matrix Norms. Journal of convex analysis, Tome 14 (2007) no. 4, pp. 729-766. http://geodesic.mathdoc.fr/item/JCA_2007_14_4_JCA_2007_14_4_a3/