2 papers
math.NA2023
Power iteration for matrices with power series entries
Ragon Ebker, Anna Muranova, Max Schmidt
We prove the method of power iteration for matrices with at most finite entries from the Levi-Civita field under the assumption that there exists an eigenvalue with th…
math.NT2023
Solving non-separable polynomials over the field of Puiseux series via golden lifting
Ragon Ebker
We develop an iterative method to calculate the roots of arbitrary polynomials over the field of Puiseux series including non-separable ones. The method works by transforming the p…