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Darboux transformations of Jacobi matrices and Padé approximation
Darboux transformation, monic Jacobi matrix monic generalized
2011/2/22
Let J be a monic bounded Jacobi matrix associated with the function F. We construct a pair of the lower and upper triangular block matrices L and U such that J = LU and the matrix JC = UL is a monic g...
On the eigenvalue problem for a particular class of finite Jacobi matrices
the eigenvalue problem finite Jacobi matrices
2010/11/11
A function $\mathfrak{F}$ with simple and nice algebraic properties is defined on a subset of the space of complex sequences. Some special functions are expressible in terms of $\mathfrak{F}$, first ...