Corpus ID: 235694358

Matrix roots and Darboux matrices for generalised canonical systems depending rationally on the spectral parameter

@inproceedings{Sakhnovich2021MatrixRA,
  title={Matrix roots and Darboux matrices for generalised canonical systems depending rationally on the spectral parameter},
  author={Alexander L. Sakhnovich},
  year={2021}
}
We study matrix roots with certain commutation properties and their application to the explicit construction of Darboux matrices in the framework of the GBDT version of Bäcklund-Darboux transformation. The approach is demonstrated on the important case of generalised canonical systems depending rationally on the spectral parameter. MSC(2020): 15A06, 15A15, 15A24, 34B30, 34C14, 35Q76 

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