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EN
This paper generalizes the interpolation problem with multiplicities to the case of tangential interpolation, i.e., there are imposed interpolation conditions on the matrix B(s) = S(s)A(s) and its deratives at the points s1,..., sn with A(s) being an arbitrary matrix and S(s) being a bounded real matrix. Assuming that the corresponding Nevanlinna-Pick matrix is positive definite, the interpolation procedure for finding a bounded real matrix which satisfies the desired interpolation condition is presented.
EN
This paper deals with the Nevanlinna-Pick interpolation problem when the interpolation conditions for derivatives are given. The appropriate Nevanlinna-Pick matrix is defined and it is shown that this matrix is non-negative definite. Assuming positive definite character of the Nevanlinna-Pick matrix, the procedure for finding a bounded real matrix which together with its derivatives takes on prescribed values at certain prescribed points is presented.
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