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» Numerical algebraic geometry and symbolic computation
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ICMS
2010
13 years 3 months ago
The Design of Core 2: A Library for Exact Numeric Computation in Geometry and Algebra
There is a growing interest in numeric-algebraic techniques in the computer algebra community as such techniques can speed up many applications. This paper is concerned with one su...
Jihun Yu, Chee Yap, Zilin Du, Sylvain Pion, Herv&e...
MOC
1998
94views more  MOC 1998»
13 years 4 months ago
Numerical calculation of the multiplicity of a solution to algebraic equations
A method to calculate numerically the multiplicity of a solution to a system of algebraic equations is presented. The method is an application of Zeuthen’s rule which gives the m...
Hidetsune Kobayashi, Hideo Suzuki, Yoshihiko Sakai
ISSAC
1995
Springer
125views Mathematics» more  ISSAC 1995»
13 years 8 months ago
Numeric-Symbolic Algorithms for Evaluating One-Dimensional Algebraic Sets
: We present e cient algorithms based on a combination of numeric and symbolic techniques for evaluating one-dimensional algebraic sets in a subset of the real domain. Given a desc...
Shankar Krishnan, Dinesh Manocha