Square root of a multivector in 3D Clifford algebras

DOI10.15388/namc.2020.25.16519zbMath1478.15034OpenAlexW3008325030MaRDI QIDQ3295063

Arturas Acus, A. Dargys

Publication date: 30 June 2020

Published in: Nonlinear Analysis: Modelling and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15388/namc.2020.25.16519

zbMATH Keywords

Riccati equationexperimental mathematicsgeometric Clifford algebrainfinitely many rootssquare root of multivector

Mathematics Subject Classification ID

Clifford algebras, spinors (15A66) Applications of Clifford algebras to physics, etc. (15A67)

Related Items (6)

Exponential and logarithm of multivector in low-dimensional (n = p + q < 3) Clifford algebras ⋮ Calculation of the exponential in arbitrary \(Cl_{p,q}\) Clifford algebra ⋮ A generalization of Euler's formula in Clifford 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 ⋮ Exponentials of general multivector in 3D Clifford algebras

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