Abstract
This special issue on rational approximations for systems presents a collection of papers which grew out of presentations held at a workshop at the Catholic University of Leuven in August 1981. The organizers of the workshop tried to bring a number of schools together, each school representing a different approach to rational approximations, with the hope that a convergence of the results would become apparent. With uncautious generalizations, the schools represented can be described as: (1) the ‘Padé-school’ where emphasis is placed on efficient recursive algorithms; (2) the ‘norm-approximation school’ where emphasis is put on approximation and convergence in a strong norm; and (3) the’ system-theory school’ with main emphasis on system estimation and representation. One may wonder how seemingly hyperclassical subjects can still muster interest. The reason is that in recent times many new results have appeared in the field, mainly due to cross-fertilization and to better understanding of the underlying mathematical techniques. The cross-fertilization referred to here is exemplified by papers like [1], [2], [3].
The workshop on rational approximations for systems and the present editorial work were partially supported by the NFWO (Brussels), the Belgian Ministry of Education and Culture, and the Third Cycle Research Fund of the Katholische Universiteit Leuven.
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Bultheel, A., Dewilde, P. (1983). Editorial. In: Bultheel, A., Dewilde, P. (eds) Rational Approximation in Systems Engineering. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4899-6790-9_2
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