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.
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The Department of Information Engineering and Computer Science, University of Trento, Trento,38123, ItalyThe Department of Information Engineering and Computer Science, University of Trento, Trento,38123, Italy
Song, Yue
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Sebe, Nicu
Wang, Wei
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The Department of Information Engineering and Computer Science, University of Trento, Trento,38123, ItalyThe Department of Information Engineering and Computer Science, University of Trento, Trento,38123, Italy
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Department of Mathematics, Bergische Universität Wuppertal, Wuppertal,42097, GermanyDepartment of Mathematics, Bergische Universität Wuppertal, Wuppertal,42097, Germany
Frommer, Andreas
Ramirez-Hidalgo, Gustavo
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Department of Mathematics, Bergische Universität Wuppertal, Wuppertal,42097, GermanyDepartment of Mathematics, Bergische Universität Wuppertal, Wuppertal,42097, Germany
Ramirez-Hidalgo, Gustavo
Schweitzer, Marcel
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Department of Mathematics, Bergische Universität Wuppertal, Wuppertal,42097, GermanyDepartment of Mathematics, Bergische Universität Wuppertal, Wuppertal,42097, Germany
Schweitzer, Marcel
Tsolakis, Manuel
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Department of Mathematics, Bergische Universität Wuppertal, Wuppertal,42097, GermanyDepartment of Mathematics, Bergische Universität Wuppertal, Wuppertal,42097, Germany