A family of high order iterations for calculating the sign of a matrix |
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| Authors: | Fazlollah Soleymani Fuad W Khdhr Rostam K Saeed Javad Golzarpoor |
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| Institution: | 1. Department of Mathematics, Institute for 2. Advanced Studies in Basic Sciences (IASBS), Zanjan, Iran;3. Department of 4. Mathematics, College of 5. Science, Salahaddin University, Erbil, Iraq;6. Science, School of 7. Mathematical Sciences, University of 8. Zabol, Zabol, Iran |
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| Abstract: | 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. |
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| Keywords: | basin of attraction functions of matrices iterative method padé approximate sign |
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