Cyclizable matrix pairs over \(\mathbb C[x]\) and a conjecture on Toeplitz pencils

DOI10.1016/j.laa.2004.03.033zbMath1068.15008OpenAlexW2028921559WikidataQ122980785 ScholiaQ122980785MaRDI QIDQ1887603

Wiland Schmale, Pramod K. Sharma

Publication date: 22 November 2004

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2004.03.033

zbMATH Keywords

systems over ringscyclizabilityBSSV-conjecturereachable matrix pairToeplitz pencils

Mathematics Subject Classification ID

Canonical forms, reductions, classification (15A21) Matrix pencils (15A22)

Related Items (5)

The Hankel pencil conjecture ⋮ On the Toeplitz pencil conjecture ⋮ More on the Hankel Pencil Conjecture—News on the Root Conjecture ⋮ Algebraic condition for the singularity of certain Toeplitz pencils ⋮ Coefficient assignability and a block decomposition for systems over rings

Uses Software

• SINGULAR

Cites Work

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• Pole assignability in polynomial rings, power series rings, and Prüfer domains
• Remarks on the pole-shifting problem over rings
• Matrix cyclization over complex polynomials.
• A symmetric approach to cyclization for systems over \(\mathbb{C} [y\)]
• A note on feedback cyclicity of \(\mathbb{C} [Y\)]
• Three-dimensional feedback cyclization over \({\mathbb{C}}[y\)]
• A simple proof of Heymann's lemma

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