Geodesic
Explicit solutions of the Yang-Baxter-like matrix equation for a singular diagonalizable matrix with three distinct eigenvalues
Filomat, Tome 35 (2021) no. 12, p. 3971

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

Let A be a singular diagonalizable complex matrix with three distinct eigenvalues. We derive all explicit solutions X of the Yang-Baxter-like matrix equation AXA = XAX, by taking advantage of the Jordan form structure of A. The result generates the formula obtained in Chen et al. (2019) and M. Saeed Ibrahim Adam et al. (2019). We give examples to illustrate the validity of the results obtained in this paper
DOI : 10.2298/FIL2112971Z
Classification : 15A24, 65F10, 65F35
Keywords: Diagonalizable matrix, Yang-Baxter-like matrix equation, Eigenvalues 
Duan-Mei Zhou; Xiang-Xing Ye; Qing-Wen Wang; Jia-Wen Ding; Wen-Yu Hu. Explicit solutions of the Yang-Baxter-like matrix equation for a singular diagonalizable matrix with three distinct eigenvalues. Filomat, Tome 35 (2021) no. 12, p. 3971 . doi: 10.2298/FIL2112971Z
@article{10_2298_FIL2112971Z,
     author = {Duan-Mei Zhou and Xiang-Xing Ye and Qing-Wen Wang and Jia-Wen Ding and Wen-Yu Hu},
     title = {Explicit solutions of the {Yang-Baxter-like} matrix equation for a singular diagonalizable matrix with three distinct eigenvalues},
     journal = {Filomat},
     pages = {3971 },
     year = {2021},
     volume = {35},
     number = {12},
     doi = {10.2298/FIL2112971Z},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2112971Z/}
}
TY  - JOUR
AU  - Duan-Mei Zhou
AU  - Xiang-Xing Ye
AU  - Qing-Wen Wang
AU  - Jia-Wen Ding
AU  - Wen-Yu Hu
TI  - Explicit solutions of the Yang-Baxter-like matrix equation for a singular diagonalizable matrix with three distinct eigenvalues
JO  - Filomat
PY  - 2021
SP  - 3971 
VL  - 35
IS  - 12
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2112971Z/
DO  - 10.2298/FIL2112971Z
LA  - en
ID  - 10_2298_FIL2112971Z
ER  - 
%0 Journal Article
%A Duan-Mei Zhou
%A Xiang-Xing Ye
%A Qing-Wen Wang
%A Jia-Wen Ding
%A Wen-Yu Hu
%T Explicit solutions of the Yang-Baxter-like matrix equation for a singular diagonalizable matrix with three distinct eigenvalues
%J Filomat
%D 2021
%P 3971 
%V 35
%N 12
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2112971Z/
%R 10.2298/FIL2112971Z
%G en
%F 10_2298_FIL2112971Z

Cité par Sources :