Darboux transformation of symmetric Jacobi matrices and Toda lattices
Darboux transformation of symmetric Jacobi matrices and Toda lattices
Let J be a symmetric Jacobi matrix associated with some Toda lattice. We find conditions for Jacobi matrix J to admit factorization J = LU (or J = ๐๐) with L (or ๐) and U (or ๐) being lower and upper triangular two-diagonal matrices, respectively. In this case, the Darboux โฆ