2014/08/09 by A. E. Frazho, Frazho, A. E., S. ter Horst +3 · 1 citation
Computer Science · Mathematics · #47A56 #93B15 #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Mathematical functions and polynomials #Matrix Theory and Algorithms #Primary 47A57 #Secondary 47A68 #math.FA #msc:47A56 #msc:47A57 #msc:47A68 #msc:93B15
paper · pdf · doi:10.48550/arxiv.1408.2143
25 pages
arxiv created 2014/08/09 · openalex publication_date 2014/08/09 · arxiv updated 2014/08/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Given stable rational matrix functions G and K, a procedure is presented to compute a stable rational matrix solution X to the Leech problem associated with G and K, that is, G(z)X(z)=K(z) and sup|z|≤ 1‖X(z)‖≤ 1. The solution is given in the form of a state space realization, where the matrices involved in this realization are computed from state space realizations of the data functions G and K.