Regions of convergence of a Padé family of iterations for the matrix sector function and the matrix pth root

Author:

Gomilko Oleksandr,Karp Dmitry B.,Lin Minghua,Ziȩtak Krystyna

Funder

Russian Basic Research Fund

Institute of Mathematics and Computer Science, Wrocław University of Technology

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference24 articles.

1. Functions of Matrices: Theory and Computation;Higham,2008

2. A Padé family of iterations for the matrix sector function and the matrix pth root;Laszkiewicz;Numer. Linear Algebra Appl.,2009

3. Algorithms for the matrix pth root;Bini;Numer. Algorithms,2005

4. Iteration functions for pth roots of complex number;Cardoso;Numer. Algorithms,2011

5. On Newton’s method and Halley’s method for the principal pth root of a matrix;Guo;Linear Algebra Appl.,2010

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