Multivector and multivector matrix inverses in real Clifford algebras

DOI10.1016/j.amc.2017.05.027zbMath1426.15035OpenAlexW2494167322MaRDI QIDQ1740005

Eckhard M. S. Hitzer, Stephen J. Sangwine

Publication date: 29 April 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: http://repository.essex.ac.uk/19733/1/MVInverse_rv_14Feb2017.pdf

zbMATH Keywords

inverseClifford algebramultivector matrix algebra

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Clifford algebras, spinors (15A66) Quadratic spaces; Clifford algebras (11E88)

Related Items (6)

On factorization of multivectors in Cl(3,0), Cl(1,2) and Cl(0,3), by exponentials and idempotents ⋮ On noncommutative Vieta theorem in geometric algebras ⋮ On factorization of multivectors in Cl(2,1)$$ Cl\left(2,1\right) $$, by exponentials and idempotents ⋮ Basis-free formulas for characteristic polynomial coefficients in geometric algebras ⋮ New applications of Clifford's geometric algebra ⋮ Exponentials of general multivector in 3D Clifford algebras

Uses Software

• BIGEBRA
• CLIFFORD
• Clifford Multivector Toolbox

Cites Work

• Unnamed Item
• Conformal geometry for viewpoint change representation
• Clifford algebra to geometric calculus. A unified language for mathematics and physics
• Clifford multivector toolbox (for MATLAB)
• Matrix Analysis
• Concepts of trace, determinant and inverse of Clifford algebra elements
• Generalized Exponentials through Appell sets in R[sup n+1 and Bessel functions]

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