The inverse of a multivector: beyond the threshold \(p+q=5\)

DOI10.1007/S00006-018-0885-4zbMath1394.15004arXiv1712.05204OpenAlexW2810983553MaRDI QIDQ1668604

A. Dargys, Arturas Acus

Publication date: 29 August 2018

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.05204

zbMATH Keywords

Clifford algebrageometric algebracomputer-aided theoryinverse multivector

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Clifford algebras, spinors (15A66)

Related Items (7)

Construction of multivector inverse for Clifford algebras over \(2m+1\)-dimensional vector spaces from multivector inverse for Clifford algebras over \(2m\)-dimensional vector spaces ⋮ 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 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 ⋮ Basis-free formulas for characteristic polynomial coefficients in geometric algebras ⋮ Exponentials of general multivector in 3D Clifford algebras

Uses Software

• GitHub
• GeometricAlgebra

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Factorization of Lipschitzian elements
• Clifford algebra to geometric calculus. A unified language for mathematics and physics
• An invertibility criterion for multivectors in a real Clifford algebra
• Clifford multivector toolbox (for MATLAB)
• On the transposition anti-involution in real Clifford algebras I: the transposition map
• An Introduction to Clifford Algebras and Spinors
• Concepts of trace, determinant and inverse of Clifford algebra elements

This page was built for publication: The inverse of a multivector: beyond the threshold \(p+q=5\)