Matrices A such that RA = A^s+1 R when R^k = I
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https://riunet.upv.es/handle/10251/44149
Cita bibliográfica
Lebtahi Ep-Kadi-Hahifi, L.; Stuart, J.; Thome, N.; Weaver, J. (2013). Matrices A such that RA = A^s+1 R when R^k = I. Linear Algebra and its Applications. 439(4):1017-1023. https://doi.org/10.1016/j.laa.2012.10.034
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This paper examines matrices A is an element of C-nxn such that RA = A(s+1) R where R-k = I, the identity matrix, and where sand k are nonnegative integers with k >= 2. Spectral theory is used to characterize these matrices. The cases s = 0 and s 1 are considered separately since they are analyzed by different techniques.
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Linear Algebra and its Applications issn: 0024-3795