Finding n-th Roots of a $$2\times 2$$ 2 × 2 Real Matrix Using De Moivre’s Formula-Reference-Cited by-同舟云学术

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Finding n-th Roots of a $$2\times 2$$ 2 × 2 Real Matrix Using De Moivre’s Formula

Published:2018-11-12 Issue:1 Volume:29 Page:
ISSN:0188-7009
Container-title:Advances in Applied Clifford Algebras
language:en
Short-container-title:Adv. Appl. Clifford Algebras

Author:

Özdemir Mustafa^ORCID

Funder

Akdeniz Üniversitesi

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Link

http://link.springer.com/article/10.1007/s00006-018-0919-y/fulltext.html

Reference17 articles.

1. Björck, A., Hammarling, S.: A Schur method for the square root of a matrix. Linear Algebra Appl. 52/53, 127–140 (1983)

2. Choudhry, A.: Extraction of nth roots of $$2\times 2$$ 2 × 2 matrices. Linear Algebra Appl. 387, 183–192 (2004)

3. Dattoli, G., Licciardi, S., Pidatella, R.M., Sabia, E.: Hybrid complex numbers: the matrix version. Adv. Appl. Clifford Algebras 28, 58 (2018)

4. Denman, E.D.: Roots of real matrices. Linear Algebra Appl. 36, 133–139 (1981)

5. Higham, N.J.: Computing real square roots of a real matrix. Linear Algebra Appl. 88(89), 405–430 (1987)

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