Robustness and perturbations of minimal bases II: The case with given row degrees

This paper studies generic and perturbation properties inside the linear space of m×(m+n) polynomial matrices whose rows have degrees bounded by a given list d1,…,dm of natural numbers, which in the particular case d1=⋯=dm=d is just the set of m×(m+n) polynomial matrices with degree at most d. Thus,...

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Veröffentlicht in:	Linear algebra and its applications 2019-09, Vol.576, p.268-300
Hauptverfasser:	Dopico, Froilán M., Van Dooren, Paul
Format:	Artikel
Sprache:	eng
Schlagworte:	Dual minimal bases Genericity Linear algebra Mathematical analysis Matrix methods Minimal indices Number theory Perturbation Perturbation theory Polynomial matrices Robustness
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