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136
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ISSAC
2007
Springer
15 years 10 months ago
2007
Springer
The black box algorithm for separating the numerator from the denominator of a multivariate rational function can be combined with sparse multivariate polynomial interpolation alg...
120
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ISSAC
2007
Springer
15 years 10 months ago
2007
Springer
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...
105
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ISSAC
2007
Springer
15 years 10 months ago
2007
Springer
Shirayanagi and Sweedler proved that a large class of algorithms over the reals can be modified slightly so that they also work correctly on fixed-precision floating-point numb...
146
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ISSAC
2007
Springer
15 years 10 months ago
2007
Springer
Numerical homotopy continuation gives a powerful tool for the applied scientist who seeks solutions to a system of polynomial equations. Techniques from numerical homotopy continu...
139
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ISSAC
2007
Springer
15 years 10 months ago
2007
Springer
Algebraic randomization techniques can be applied to hybrid symbolic-numeric algorithms. Here we consider the problem of interpolating a sparse rational function from noisy values...