Newton’s Approach to General Algebraic Equations over Clifford Algebras

DOI10.1007/978-3-030-23854-4_13zbMath1444.15011OpenAlexW2981151699MaRDI QIDQ5115041

Drahoslava Janovská, Gerhard Opfer

Publication date: 29 June 2020

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-23854-4_13

zbMATH Keywords

Clifford algebrasNewton methodRiccati equationalgebraic equations over Clifford algebras

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Clifford algebras, spinors (15A66) Applications of Clifford algebras to physics, etc. (15A67)

Cites Work

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• Some algebraic and analytical properties of coquaternion algebra
• The algebraic Riccati equation for quaternions
• Zeros and singular points for one-sided coquaternionic polynomials with an extension to other \(R^4\) algebras
• Erratum to: ``The Jacobi matrix for functions in noncommutative algebras

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