Index of critical points in rational \(\ell\) 2-approximation

DOI10.1016/0167-6911(88)90048-5zbMath0636.41009OpenAlexW2074941117MaRDI QIDQ1098026

Laurent Baratchart, Martine Olivi

Publication date: 1988

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-6911(88)90048-5

zbMATH Keywords

linear systemswinding numberMorse index of critical points

Mathematics Subject Classification ID

Approximation by rational functions (41A20)

Related Items (7)

A criterion for uniqueness of a critical point in \(H_ 2\) rational approximation ⋮ On a rational approximation problem in the real Hardy space \(H_ 2\) ⋮ Rational approximation in the real Hardy space \(H_ 2\) and Stieltjes integrals: A uniqueness theorem ⋮ Sources recovery from boundary data: A model related to electroencephalography ⋮ Unnamed Item ⋮ Non-uniqueness of rational best approximants ⋮ Identification and rational \(L^ 2\) approximation: A gradient algorithm

Cites Work

• Existence and Generic Properties of L² Approximants for Linear Systems
• An exact sequence in differential topology
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Index of critical points in rational \(\ell\) 2-approximation