On Quasivector Spaces of Convex Bodies and Zonotopes

被引:0
作者
Svetoslav Markov
机构
[1] Institute of Mathematics & Informatics,
[2] Bulgarian Academy of Sciences,undefined
[3] Acad,undefined
来源
Numerical Algorithms | 2004年 / 37卷
关键词
convex bodies; zonotopes; segments; quasivector space; symmetric quasivector space; approximation;
D O I
暂无
中图分类号
学科分类号
摘要
In this work the theory of quasivector spaces has been briefly outlined and applied for computation with zonotopes. An approximation problem for zonotopes in the plane has been formulated and an algorithm for its solution has been proposed.
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页码:263 / 274
页数:11
相关论文
共 9 条
  • [1] Baier R.(2001)Differences of convex compact sets in the space of directed sets Part I: The space of directed sets, Part II: Visualization of directed sets, Set-Valued Anal. 9 217-245
  • [2] Farkhi E.(1980)Interval analysis in the extended interval space Computing Supplement 2 33-49
  • [3] Kaucher E.(1973)Eine Einfürung in die Theorie der quasilinearen Räume mit Anwendung auf die in der Intervallrechnung auftretenden Räume Math. Phys. Semesterberichte XX 226-242
  • [4] Kracht M.(2000)On the algebraic properties of convex bodies and some applications J. Convex Anal. 7 129-166
  • [5] Schröder G.(2004)On quasilinear spaces of convex bodies and intervals J. Comput. Appl. Math. 162 93-112
  • [6] Markov S.(1977)Representation of semigroups as systems of compact convex sets Proc. Amer. Math. Soc. 65 24-28
  • [7] Markov S.(undefined)undefined undefined undefined undefined-undefined
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