The Hankel pencil conjecture

DOI10.1016/j.laa.2009.05.015zbMath1176.15038OpenAlexW2136092747WikidataQ123010625 ScholiaQ123010625MaRDI QIDQ840649

Maria Celeste Gouveia, Alexander Kovačec

Publication date: 14 September 2009

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

Full work available at URL: http://hdl.handle.net/10316/11297

zbMATH Keywords

systems of polynomial equationsSylvester identityToeplitz matricesHankel matricesroot conjectureHankel pencil conjecture

Mathematics Subject Classification ID

Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Matrices over function rings in one or more variables (15A54) Matrix pencils (15A22) Toeplitz, Cauchy, and related matrices (15B05)

Related Items (3)

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

Cites Work

• Unnamed Item
• Determinantal identities: Gauss, Schur, Cauchy, Sylvester, Kronecker, Jacobi, Binet, Laplace, Muir, and Cayley
• Quasidirect decompositions of Hankel and Toeplitz matrices
• Cyclizable matrix pairs over \(\mathbb C[x\) and a conjecture on Toeplitz pencils]
• Matrix Analysis

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