A family of high order iterations for calculating the sign of a matrix
Fazlollah Soleymani, Fuad W. Khdhr, Rostam Kareem Saeed, Javad Golzarpoor · Mathematical Methods in the Applied Sciences · 2020
For the computation of a matrix sign function, a family of iterative methods is proposed. for some cases of the accelerator parameters, this method is proven to converge globally with higher rates of convergence. Its stability is discussed analytically as well. to illustrate the efficiency of the proposed methods from the family, several tests of various matrix sizes are considered to worked out.