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cs.SC2010★ 6 cited
Zero Decomposition with Multiplicity of Zero-Dimensional Polynomial Systems
Yinglin Li, Bican Xia, Zhihai Zhang
We present a zero decomposition theorem and an algorithm based on Wu's method, which computes a zero decomposition with multiplicity for a given zero-dimensional polynomial system.…
cs.SC2009
Real Solution Isolation with Multiplicity of Zero-Dimensional Triangular Systems
Zhihai Zhang, Tian Fang, Bican Xia
Existing algorithms for isolating real solutions of zero-dimensional polynomial systems do not compute the multiplicities of the solutions. In this paper, we define in a natural wa…