All projection-based commuting solutions of the Yang-Baxter-like matrix equation

نویسندگان

چکیده

We determine all the commuting solutions of quadratic matrix equation AXA = XAX, which can be expressed in terms projection matrices. All such have special structures and their building blocks satisfy a system equations, our general result extends previous ones J. Math. Anal. Appl. 402 (2013), 567-573, Applied Lett. 35 (2014), 86-89, 64 (2017), 231-234, 79 (2018), 155-161.

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ژورنال

عنوان ژورنال: Filomat

سال: 2021

ISSN: ['2406-0933', '0354-5180']

DOI: https://doi.org/10.2298/fil2110203d