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ISSAC
2007
Springer
132views Mathematics» more  ISSAC 2007»
14 years 6 months ago
Structured matrix methods for polynomial root-finding
In this paper we discuss the use of structured matrix methods for the numerical approximation of the zeros of a univariate polynomial. In particular, it is shown that root-findin...
Luca Gemignani
ISSAC
2007
Springer
106views Mathematics» more  ISSAC 2007»
14 years 6 months ago
Counting reducible and singular bivariate polynomials
Joachim von zur Gathen
ISSAC
2007
Springer
146views Mathematics» more  ISSAC 2007»
14 years 6 months ago
Fast and exact geometric analysis of real algebraic plane curves
An algorithm is presented for the geometric analysis of an algebraic curve f(x, y) = 0 in the real affine plane. It computes a cylindrical algebraic decomposition (CAD) of the pla...
Arno Eigenwillig, Michael Kerber, Nicola Wolpert