Algorithmic computation of multivector inverses and characteristic polynomials in non-degenerate Clifford algebras

Autor:	Prodanov, Dimiter
Rok vydání:	2023
Předmět:	Mathematics - Numerical Analysis Computer Science - Symbolic Computation 15A66
Druh dokumentu:	Working Paper
Popis:	The power of Clifford or, geometric, algebra lies in its ability to represent geometric operations in a concise and elegant manner. Clifford algebras provide the natural generalizations of complex, dual numbers and quaternions into non-commutative multivectors. The paper demonstrates an algorithm for the computation of inverses of such numbers in a non-degenerate Clifford algebra of an arbitrary dimension. The algorithm is a variation of the Faddeev-LeVerrier-Souriau algorithm and is implemented in the open-source Computer Algebra System Maxima. Symbolic and numerical examples in different Clifford algebras are presented. Comment: 11 pages. arXiv admin note: text overlap with arXiv:1904.00084
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2308.02291 Zobrazit plný text záznamu View this record from Arxiv