Quadratic Newton iteration for systems with multiplicity. (English) Zbl 1030.65050
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.
Reviewer: Dana Petcu (Timişoara)
MSC:
65H10 | Numerical computation of solutions to systems of equations |