A note on solution of $ax+xb=c$ by Clifford algebras

Abstract

The coordinate-free solutions of the multivector equation $ax+xb=c$ are discussed and presented for the Clifford algebras $C{l}_{p,q}$ when $p+q\le 3$.

4 pages

Cited by in corpus (3)

• On computing the determinant, other characteristic polynomial coefficients, and inverse in Clifford algebras of arbitrary dimension
• Basis-free solution to Sylvester equation in Clifford algebra of arbitrary dimension
• Square root of a multivector of Clifford algebras in 3D: A game with signs