Abstract
The problem of finding matrix roots for a wide class of non-singular complex matrices has been solved by using the 2nd kind pseudo-Chebyshev functions and the Dunford-Taylor integral. For an n-th root of an r x r matrix we find in general nr roots, depending on the chosen determination of the numerical roots appearing in the considered equation. Of course the exceptional cases for which there are infinite many roots, or no roots at all are excluded by the introduced technique.
| Original language | English |
|---|---|
| Pages (from-to) | 47-62 |
| Number of pages | 16 |
| Journal | Lecture Notes of TICMI |
| Volume | 22 |
| Publication status | Published - 2021 |
Bibliographical note
Funding Information:The authors thanks for the invitation to participate in the AMINSE 2020-(2021) Conference. and dedicate their contribution to the 75th birth anniversary of Prof. Dr. George Jaiani.
Funding
The authors thanks for the invitation to participate in the AMINSE 2020-(2021) Conference. and dedicate their contribution to the 75th birth anniversary of Prof. Dr. George Jaiani.
Keywords
- 11B83
- 30E20
- 65Q30
- Primary 15A15
- Secondary 33C99