Open Access
2014 Some Matrix Iterations for Computing Matrix Sign Function
F. Soleymani, E. Tohidi, S. Shateyi, F. Khaksar Haghani
J. Appl. Math. 2014: 1-9 (2014). DOI: 10.1155/2014/425654


Some iterative methods are introduced and demonstrated for finding the matrix sign function. It is analytically shown that the new schemes are asymptotically stable. Convergence analysis along with the error bounds of the main proposed method is established. Different numerical experiments are employed to compare the behavior of the new schemes with the existing matrix iterations of the same type.


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F. Soleymani. E. Tohidi. S. Shateyi. F. Khaksar Haghani. "Some Matrix Iterations for Computing Matrix Sign Function." J. Appl. Math. 2014 1 - 9, 2014.


Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131592
MathSciNet: MR3232916
Digital Object Identifier: 10.1155/2014/425654

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
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