ON THE CLASS RSI OF RATIONAL SCHUR FUNCTIONS INTERTWINING SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS Academic Article uri icon

abstract

  • Abstract. In this paper we extend and solve in the class of functions RSI mentioned in the title, a number of problems originally set for the class RS of rational functions contractive in the open right-half plane, and unitary on the imaginary line with respect to some preassigned self-adjoint matrix. The problems we consider include the Schur algorithm, the partial realization problem and the Nevanlinna-Pick interpolation problem. The arguments rely on the one-to-one correspondence between elements in a given subclass of RSI and …

publication date

  • December 1, 2009