Explicit solutions of the Yang-Baxter-like matrix equation for a singular diagonalizable matrix with three distinct eigenvalues

نویسندگان

چکیده

Let A be a singular diagonalizable complex matrix with three distinct eigenvalues. We derive all explicit solutions X of the Yang-Baxter-like equation AXA = XAX, by taking advantage Jordan form structure A. The result generates formula obtained in Chen et al. (2019) and M. Saeed Ibrahim Adam (2019). give examples to illustrate validity results this paper.

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ژورنال

عنوان ژورنال: Filomat

سال: 2021

ISSN: ['2406-0933', '0354-5180']

DOI: https://doi.org/10.2298/fil2112971z