On the Yang-Baxter-like matrix equation for rank-two matrices
Duanmei Zhou ; Guoliang Chen ; Jiu Ding
Open Mathematics, Tome 15 (2017), p. 340-353 / Harvested from The Polish Digital Mathematics Library
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Let A = PQT, where P and Q are two n × 2 complex matrices of full column rank such that QTP is singular. We solve the quadratic matrix equation AXA = XAX. Together with a previous paper devoted to the case that QTP is nonsingular, we have completely solved the matrix equation with any given matrix A of rank-two.

Publié le : 2017-01-01
EUDML-ID : urn:eudml:doc:288077 
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     author = {Duanmei Zhou and Guoliang Chen and Jiu Ding},
     title = {On the Yang-Baxter-like matrix equation for rank-two matrices},
     journal = {Open Mathematics},
     volume = {15},
     year = {2017},
     pages = {340-353},
     zbl = {1361.15019},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2017-0026}
}

Duanmei Zhou; Guoliang Chen; Jiu Ding. On the Yang-Baxter-like matrix equation for rank-two matrices. Open Mathematics, Tome 15 (2017) pp. 340-353. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2017-0026/