THE BINOMIAL METHOD FOR A MATRIX SQUARE ROOT
Yeon-Ji Kim, Jong-Hyeon Seo, Hyun‐Min Kim · East Asian Mathematical Journal · 2013
There are various methods for evaluating a matrix square root, which is a solvent of the quadratic matrix equation $X^2-A=0$ . We consider new iterative methods for solving matrix square roots of M-matrices. Particulary we show that the relaxed binomial iteration is more efficient than Newton-Schulz iteration in some cases. And we construct a formula to find relaxation coefficients through statistical experiments.