A power method for computing square roots of complex matrices

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Abstract

In this paper higher order convergent methods for computing square roots of nonsingular complex matrices are derived. These methods are globally convergent and are based on eigenvalue shifting and powering. Specifically, it is shown for each positive integer r ≥ 2, a convergent method of order r can be developed. These algorithms can be used to compute square roots of general nonsingular complex matrices such as computing square roots of matrices with negative eigenvalues.

Original languageEnglish (US)
Pages (from-to)393-405
Number of pages13
JournalJournal of Mathematical Analysis and Applications
Volume213
Issue number2
DOIs
StatePublished - Sep 15 1997

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