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arxiv: nlin/0502006 · v1 · submitted 2005-02-03 · 🌊 nlin.SI

Elementary Darboux transformations and factorization

classification 🌊 nlin.SI
keywords darbouxmatricesfactorizationlinearpolynomialdiscussedelementaryentries
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A general theorem on factorization of matrices with polynomial entries is proven and it is used to reduce polynomial Darboux matrices to linear ones. Some new examples of linear Darboux matrices are discussed.

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