Approximating the Matrix Sign Function Using a Novel Iterative Method

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 the...

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Published in:Abstract and Applied Analysis 2014-01, Vol.2014, p.127-135
Main Authors: Soleymani, F., Stanimirović, P. S., Shateyi, S., Haghani, F. Khaksar
Format: Article
Language:English
Subjects:
Applied mathematics
Approximation theory
Colleges & universities
Convergence (Mathematics)
Iterative methods
Iterative methods (Mathematics)
Linear algebra
Mathematical research
Mathematics
Matrices
Sequences (Mathematics)
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cited_by cdi_FETCH-LOGICAL-a564t-bae1d5854cfac267bc19834eeab3aa2e7fd30d2aabf5133965182b71a60ae233
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container_title Abstract and Applied Analysis
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creator Soleymani, F.
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description 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.
doi_str_mv 10.1155/2014/105301
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source Wiley Online Library Open Access; Publicly Available Content Database
subjects Applied mathematics
Approximation theory
Colleges & universities
Convergence (Mathematics)
Iterative methods
Iterative methods (Mathematics)
Linear algebra
Mathematical research
Mathematics
Matrices
Sequences (Mathematics)
title Approximating the Matrix Sign Function Using a Novel Iterative Method
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