On the Scalar Rational Interpolation Problem 论文

1986IMA Journal of Mathematical Control and Information引用 215
Advanced Numerical Analysis TechniquesIterative Methods for Nonlinear EquationsMatrix Theory and Algorithms

摘要

The rational interpolation problem in the scalar case, including multiple points, is solved. In particular a parametrization of all minimal-degree rational functions interpolating given pairs of points is derived. These considerations provide a generalization of the results on the partial realization of linear systems.