Geometry

   

Algorithmic Computation of Multivector Inverses and Characteristic Polynomials in Non-Degenerate Clifford Algebras

Authors: Dimiter Prodanov

Clifford algebras provide the natural generalizations of complex, dual numbers and quaternions into the concept of non-commutative Clifford numbers.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.

Comments: 9 Pages.

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Submission history

[v1] 2023-06-02 20:32:09

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