A power method for computing square roots of complex matrices. (English) Zbl 0893.65028

Hasan, Mohammed A.

J. Math. Anal. Appl. 213, No. 2, 393-405 (1997).

Some 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. It is shown that for each positive integer \(r\geq 2\), a convergent method of order \(r\) can be developed.

Reviewer: Xie Shenquan (Xiangtan)

MSC:

65F30	Other matrix algorithms (MSC2010)
15A24	Matrix equations and identities

Keywords:

power method; convergence; square roots; complex matrices; eigenvalue shifting

References:

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