A cell decomposition of the space of real Hankel matrices of rank \(\leq n\) and some applications
From MaRDI portal
Publication:584346
zbMath0693.15010MaRDI QIDQ584346
Diederich Hinrichsen, Wilfried Manthey, Uwe R. Helmke
Publication date: 1989
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
continued fraction expansioncellular decompositionBruhat decompositioninfinite real Hankel matricesrational transfer functions
Related Items
A cell structure for the set of autoregressive systems, Bruhat canonical form for linear systems, A global parametrization of asymptotically stable linear systems, Functional models in linear algebra, Topological aspects of the partial realization problem, Waring's problem for binary forms, Connectivity properties of spaces of partial realizations, Toda flows, inverse spectral transform and realization theory
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Expansion of power series into \(P\)-fractions
- On the partial realization problem
- The Bruhat decomposition of finite Hankel matrices
- Monopoles, non-linear \(\sigma\) models, and two-fold loop spaces
- The topology of spaces of rational functions
- The stability and instability of partial realizations
- Matrix interpretations and applications of the continued fraction algorithm
- Topology of the moduli space for reachable linear dynamical systems: The complex case
- Towards a Cell Decomposition for Rational Functions
- Topology of the set of asymptotically stable minimal systems
- Canonical Forms and Orbit Spaces of Linear Systems
- Some geometric questions in the theory of linear systems
- Combinatorial homotopy. I
- Connectivity properties of spaces of partial realizations