Quadratic Newton iteration for systems with multiplicity
The author proposes an efficient iterator with quadratic convergence that generalizes Newton iterator for multiple roots. It is based on a \(m\)-adic topology where the ideal \(m\) can be chosen generic enough. Compared to the Newton iterator the proposed iterator introduces a small overhead that grows with the square of the multiplicity of the root.
scientific article; zbMATH DE number 1890497