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On the Matrix Square Root
Author(s) -
Petković Miodrag S.,
Lakić Slobodan
Publication year - 1998
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/(sici)1521-4001(199803)78:3<173::aid-zamm173>3.0.co;2-2
Subject(s) - square root , eigenvalues and eigenvectors , convergence (economics) , matrix (chemical analysis) , mathematics , stability (learning theory) , root (linguistics) , square matrix , square (algebra) , root finding algorithm , numerical stability , numerical analysis , mathematical analysis , symmetric matrix , computer science , geometry , physics , materials science , linguistics , philosophy , quantum mechanics , machine learning , economics , composite material , economic growth , nonlinear system
This paper presents two third order iterative methods to compute a square root of a given real or complex matrix with real nonnegative eigenvalues. Conditions for the convergence of these methods are studied, and their numerical stability properties are analyzed. Numerical examples are given and compared with some other methods.