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math.NA2017★ 11 cited
Newton's method in practice II: The iterated refinement Newton method and near-optimal complexity for finding all roots of some polynomials of very large degrees
Marvin Randig, Dierk Schleicher, Robin Stoll
We present a practical implementation based on Newton's method to find all roots of several families of complex polynomials of degrees exceeding one billion () so that the ob…
math.NA2015★ 33 cited
Newton's method in practice: finding all roots of polynomials of degree one million efficiently
Dierk Schleicher, Robin Stoll
We use Newton's method to find all roots of several polynomials in one complex variable of degree up to and exceeding one million and show that the method, applied to appropriately…