Matrix Vieta theorem revisited

DOI10.1023/A:1007373114601zbMath0874.15010OpenAlexW137320484MaRDI QIDQ1354893

Alain Connes, Albert S. Schwarz

Publication date: 3 November 1997

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1007373114601

zbMATH Keywords

symmetric functionsmatrix equationsmatrix Vieta theorem

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Matrix equations and identities (15A24)

Related Items (7)

Hoffman-Wielandt type inequality for block companion matrices of certain matrix polynomials ⋮ On noncommutative Vieta theorem in geometric algebras ⋮ Vieta's formulae for regular polynomials of a quaternionic variable ⋮ Equations in simple matrix groups: algebra, geometry, arithmetic, dynamics. ⋮ Causality in noncommutative two-sheeted space-times ⋮ Quasideterminants ⋮ Berezinians, exterior powers and recurrent sequences

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