Some Matrix Iterations for Computing Matrix Sign Function

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2014 English Publisher:Hindawi LimitedJournal:Journal of Applied Mathematics, volume 2,014, pages 1-9 (issn: 1110-757X, eissn: 1687-0042,

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Authors: Fazlollah Soleymani; Emran Tohidi; Stanford Shateyi; F. Khaksar Haghani;

doi: 10.1155/2014/425654

Some Matrix Iterations for Computing Matrix Sign Function

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Abstract

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.

Related Organizations

University of Venda
South Africa
Islamic Azad University of Shahrekord
Iran (Islamic Republic of)

Keywords

Numerical computation of matrix exponential and similar matrix functions, QA1-939, Mathematics

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