On the Matrix Square Root
Miodrag S. Petković, Slobodan Lakić · ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik · 1998
This paper presents two third order iterative methods to compute a square root of a given real or complex matrix with real nonnegative eigenvalues. Conditions for the convergence of these methods are studied, and their numerical stability properties are analyzed. Numerical examples are given and compared with some other methods.