Matrix roots and Darboux matrices for generalised canonical systems depending rationally on the spectral parameter
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.
- Pub Date:
- July 2021
- Mathematics - Classical Analysis and ODEs;
- Mathematical Physics;
- Mathematics - Functional Analysis;
- We develop much further some (connected with matrix roots) results from arXiv:2010.05217 and arXiv:2003.13024