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math.CA2010★ 13 cited
Darboux transformations of Jacobi matrices and Padé approximation
Maxim Derevyagin, Vladimir Derkach
Let J be a monic Jacobi matrix associated with the Cauchy transform F of a probability measure. We construct a pair of the lower and upper triangular block matrices L and U such th…
math.CA2010
Inverse problems for periodic generalized Jacobi matrices
Maxim Derevyagin
Some inverse problems for semi-infinite periodic generalized Jacobi matrices are considered. In particular, a generalization of the Abel criterion is presented. The approach is bas…
math.CA2010★ 8 cited
The Jacobi matrices approach to Nevanlinna-Pick problems
Maxim Derevyagin
A modification of the well-known step-by-step process for solving Nevanlinna-Pick problems in the class of $\bR_0$-functions gives rise to a linear pencil , where and …