Open Access
2014 Approximating the Matrix Sign Function Using a Novel Iterative Method
F. Soleymani, P. S. Stanimirović, S. Shateyi, F. Khaksar Haghani
Abstr. Appl. Anal. 2014(SI32): 1-9 (2014). DOI: 10.1155/2014/105301


This study presents a matrix iterative method for finding the sign of a square complex matrix. It is shown that the sequence of iterates converges to the sign and has asymptotical stability, provided that the initial matrix is appropriately chosen. Some illustrations are presented to support the theory.


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F. Soleymani. P. S. Stanimirović. S. Shateyi. F. Khaksar Haghani. "Approximating the Matrix Sign Function Using a Novel Iterative Method." Abstr. Appl. Anal. 2014 (SI32) 1 - 9, 2014.


Published: 2014
First available in Project Euclid: 6 October 2014

zbMATH: 07021745
MathSciNet: MR3240521
Digital Object Identifier: 10.1155/2014/105301

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI32 • 2014
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