Geodesic
All projection-based commuting solutions of the Yang-Baxter-like matrix equation
Filomat, Tome 35 (2021) no. 10, p. 3203

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DOI

We determine all the commuting solutions of the quadratic matrix equation AXA = XAX, which can be expressed in terms of projection matrices. All such solutions have special structures and their building blocks satisfy a system of matrix equations, and our general result extends the previous ones in J. Math. Anal. Appl. 402 (2013), 567-573, Applied Math. Lett. 35 (2014), 86-89, Applied Math. Lett. 64 (2017), 231-234, and Applied Math. Lett. 79 (2018), 155-161
DOI : 10.2298/FIL2110203D
Classification : 15A18
Keywords: Matrix equation, Jordan canonical form, Jordan blocks, Projection matrix 
Qixiang Dong; Jiu Ding. All projection-based commuting solutions of the Yang-Baxter-like matrix equation. Filomat, Tome 35 (2021) no. 10, p. 3203 . doi: 10.2298/FIL2110203D
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     author = {Qixiang Dong and Jiu Ding},
     title = {All projection-based commuting solutions of the {Yang-Baxter-like} matrix equation},
     journal = {Filomat},
     pages = {3203 },
     year = {2021},
     volume = {35},
     number = {10},
     doi = {10.2298/FIL2110203D},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2110203D/}
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