21 citations · 44 across the 12 of their papers we have counts for
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math.NA2018
Connectivity of the Julia set for the Chebyshev-Halley family on degree n polynomials
Beatriz Campos, Jordi Canela, Purificación Vindel
We study the Chebyshev-Halley family of root finding algorithms from the point of view of holomorphic dynamics. Numerical experiments show that the speed of convergence to the root…
math.DS2018
Julia sets with a wandering branching point
Xavier Buff, Jordi Canela, Pascale Roesch
According to the Thurston No Wandering Triangle Theorem, a branching point in a locally connected quadratic Julia set is either preperiodic or precritical. Blokh and Oversteegen pr…