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PreprintCC BY-NC-ND 4.0arXiv

Matrix roots of order n of a multivariate polynomial

Abstract

In this paper, we construct the matrix nth root of a multivariate polynomial with coefficients in a field K which possesses an nth root of unity. Moreover, we explain why this concept is interesting. Finally, we give several examples to illustrate our construction.

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BibTeX
@misc{bakop2026matrix,
  title = {{Matrix roots of order n of a multivariate polynomial}},
  author = {Jordan Noumi Bakop and Yves Baudelaire Fomatati},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.38238},
  eprint = {2609.38238},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.38238},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - UNPB
TI  - Matrix roots of order n of a multivariate polynomial
AU  - Jordan Noumi Bakop
AU  - Yves Baudelaire Fomatati
PY  - 2026
DA  - 2026/09/28
PB  - arXiv
DO  - 10.48550/arxiv.2609.38238
UR  - https://arxiv.org/abs/2609.38238
AB  - In this paper, we construct the matrix nth root of a multivariate polynomial with coefficients in a field K which possesses an nth root of unity. Moreover, we explain why this concept is interesting. Finally, we give several examples to illustrate our construction.
ER  -