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A certified numerical algorithm for the topology of resultant and discriminant curves

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Academic year: 2021

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Figure 2: Illustration of Theorem 1. Two views of the discriminant curve f = 0 of the torus of Figure 1 and curves defined by the coe ffi cients s 10 , s 11 , s 22 of the sub-resultants chain of P and P z
Figure 3: Illustration for Algorithm 5. As input, B 1 is an isolating box of a node that contains a closed loop of the resultant curve f = 0
Table 1: Isolating singularities of Resultant z (P, Q) = 0, with P and Q of degree d and coefficients of constant bitsize σ = 8
Figure 4: Left: a schematic representation of the discriminant of the polynomial P cusp

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