Abstract
We develop the zero-pole structure of rational matrix functions ⊖( s) that satisfy an identity of the form ⊖(s) TV⊖(s) = V for some square matrix V for which V = αV T , where α = ±1. As an application we describe the set of symmetric or antisymmetric solutions of a set of bitangential interpolation conditions. Solutions of bitangential interpolation conditions satisfying other types of symmetries are also discussed.
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