An Interpolation Problem in the Class \(R\)[a,b]


We consider an interpolation problem for matrix functions of the class \(R\)[a,b]. In the nondegenerate case, we describe all solutions in terms of fractional linear transformations. An explicit formula for the resolvent matrix is obtained.

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Dyukarev, Y.M., Choque Rivero, A.E. An Interpolation Problem in the Class \(R\)[a,b]. Ukrainian Mathematical Journal 55, 1265–1282 (2003).

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  • Linear Transformation
  • Explicit Formula
  • Matrix Function
  • Interpolation Problem
  • Fractional Linear Transformation