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  • AMS Classification. Primary 52A39; Secondary 65HIC, 65H20, 90C05.  (1)
  • Springer  (1)
  • American Physical Society
  • 2000-2004  (1)
  • 2001  (1)
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  • Springer  (1)
  • American Physical Society
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  • 2000-2004  (1)
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  • 2001  (1)
  • 1
    Electronic Resource
    Electronic Resource
    Finding Mixed Cells in the Mixed Volume Computation (2001)
    Springer
    Foundations of computational mathematics 1 (2001), S. 161-181 
    Details
    ISSN: 1615-3383
    Keywords: AMS Classification. Primary 52A39; Secondary 65HIC, 65H20, 90C05.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract. In practice, finding mixed cells in certain polyhedral subdivisions plays a dominating role when a polyhedral homotopy is employed to approximate all isolated zeros of polynomial systems. This paper gives a new algorithm for the mixed cell computation via a new formulation of the underlying linear programming problems. Numerical results show that the algorithm provides a major advance in the speed of computation with much less memory requirements.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s102080010005
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