In this paper we consider the Padé family of iterations [B. Laszkiewicz, K. Ziȩtak, A Padé
family of iterations for the matrix sector function and the matrix p th root, Numer. Linear …

If A is a matrix with all eigenvalues in the disk| z− 1|< 1, the principal pth root of A can be
computed by Newton's method or Halley's method. The study of Newton's method and …

When A is a matrix with all eigenvalues in the disk| z-1|< 1, the principal p th root of A can be
computed by Schröder's method, among many other methods. In this paper, we present a …

In this thesis, we solve some problems arising in the study of some iterative methodsfor
finding the principal pth root of a matrix. Our main interest is in Newton'smethod, Halley's …

When $ A $ is a matrix with all eigenvalues in the disk $| z-1|< 1$, the principal $ p $ th root
of $ A $ can be computed by Schr\" oder's method, among many other methods. In this paper …