A Numerical Method for Computing the Roots of Non-Singular Complex-Valued Matrices
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A method for the computation of the n th roots of a general complex-valued r × r non-singular matrix ? is presented. The proposed procedure is based on the Dunford–Taylor integral (also ascribed to Riesz–Fantappiè) and relies, only, on the knowledge of the invariants of the matrix, so circumventing the computation of the relevant eigenvalues. Several worked examples are illustrated to validate the developed algorithm in the case of higher order matrices.
2016 ◽
Vol 09
(04)
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pp. 1650077
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2021 ◽
Vol 1
(3)
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pp. 403-411
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2016 ◽
Vol 23
(5)
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pp. 722-726
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2008 ◽
Vol 6
(3)
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pp. 669-694
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1998 ◽
Vol 534
(1-2)
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pp. 183-201
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2001 ◽
Vol 12
(02)
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pp. 235-245
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