Abstract
AbstractA version of the iterated Bäcklund–Darboux transformation, where Darboux matrix takes a form of the transfer matrix function from the system theory, is constructed for the discrete canonical system and non‐Abelian Toda lattice. Results on the transformations of the Weyl functions, insertion of the eigenvalues, and construction of the bound states are obtained. A wide class of the explicit solutions is given. An application to the semi‐infinite block Jacobi matrices is treated. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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