The N-Th Canonical Roots of Matrices

Yuan Yuan Li

doi:10.4028/www.scientific.net/AMR.557-559.2021

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 557-559The N-Th Canonical Roots of Matrices

The N-Th Canonical Roots of Matrices

Abstract:

After a deep investigation on the nth canonical roots of matrices, we establish the key theorem concerning how to find the n-th canonical roots. Relationship between canonical roots of a complex matrix and its n-th roots is also investigated.. Existence of canonical roots is not true for arbitrary matrix. By investigating the extension rule, this paper introduces the concept of canonical roots and gives an algorithm determining the form of canonical roots.

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Periodical:

Advanced Materials Research (Volumes 557-559)

Pages:

2021-2024

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.557-559.2021

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Online since:

July 2012

Authors:

Yuan Yuan Li

Keywords:

Hermit Interpolation, Nonsingular Jordan Block, N-Th Canonical Roots

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