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On a Cubically Convergent Iterative Method for Matrix Sign

We propose an iterative method for finding matrix sign function. It is shown that the scheme has global behavior with cubical rate of convergence. Examples are included to show the applicability and efficiency of the proposed scheme and its reciprocal.

Detalles Bibliográficos
Autores principales: Sharifi, M., Karimi Vanani, S., Khaksar Haghani, F., Arab, M., Shateyi, S.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2015
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4393939/
https://www.ncbi.nlm.nih.gov/pubmed/25954769
http://dx.doi.org/10.1155/2015/964257
Descripción
Sumario:We propose an iterative method for finding matrix sign function. It is shown that the scheme has global behavior with cubical rate of convergence. Examples are included to show the applicability and efficiency of the proposed scheme and its reciprocal.