Noncommutative Vieta theorem in Clifford geometric algebras

DOI10.1002/MMA.9221MaRDI QIDQ6619362

Dmitry Shirokov

Publication date: 15 October 2024

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

characteristic polynomialClifford algebrageometric algebraVieta's formulasnoncommutative Vieta theoremVieta theorem

Mathematics Subject Classification ID

Clifford algebras, spinors (15A66) Quadratic spaces; Clifford algebras (11E88)

Cites Work

• Title not available (Why is that?)
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• Clifford algebra to geometric calculus. A unified language for mathematics and physics
• Quasideterminants. I
• Matrix Vieta theorem revisited
• The inverse of a multivector: beyond the threshold \(p+q=5\)
• Multivector and multivector matrix inverses in real Clifford algebras
• Noncommutative symmetric functions
• Basis-free formulas for characteristic polynomial coefficients in geometric algebras
• Basis-free solution to Sylvester equation in Clifford algebra of arbitrary dimension
• On computing the determinant, other characteristic polynomial coefficients, and inverse in Clifford algebras of arbitrary dimension
• Characteristic polynomials in Clifford algebras and in more general algebras
• Concepts of trace, determinant and inverse of Clifford algebra elements
• On noncommutative Vieta theorem in geometric algebras

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