Critical points and error rank in best \(H_2\) matrix rational approximation of fixed McMillan degree

DOI10.1007/s003659900075zbMath0913.41009OpenAlexW1989932113MaRDI QIDQ1384656

Laurent Baratchart, Martine Olivi

Publication date: 25 May 1998

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s003659900075

zbMATH Keywords

identification of linear dynamical systemsmatrix rational approximation in \(H_2\)topology of rational matrices

Mathematics Subject Classification ID

System identification (93B30) Approximation in the complex plane (30E10) Approximation by rational functions (41A20) Matrices over function rings in one or more variables (15A54)

Related Items

Greedy Algorithms and Rational Approximation in One and Several Variables ⋮ A new algorithm for \(L_ 2\) optimal model reduction ⋮ Minimal symmetric Darlington synthesis ⋮ Cyclic AFD algorithm for the best rational approximation ⋮ Boundary Nevanlinna--Pick Interpolation with Prescribed Peak Points. Application to Impedance Matching