Newton’s Approach to General Algebraic Equations over Clifford Algebras

Drahoslava Janovská,Gerhard Opfer

doi:10.1007/978-3-030-23854-4_13

Newton’s Approach to General Algebraic Equations over Clifford Algebras

Drahoslava Janovská, Gerhard Opfer

https://doi.org/10.1007/978-3-030-23854-4_13

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Publication Date: Jan 1, 2019

Affiliation: University of Chemistry and Technology, Universität Hamburg

#Clifford Algebras #Zeros Of Polynomials + Show 7 more

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Abstract

There is a short section describing how Newton’s method works for algebraic problems over Clifford algebras. There are two applications. Zeros of unilateral polynomials over a Clifford algebra in \(\mathbb {R}^8\) and solutions of a Riccati equation over all eight Clifford algebras in \(\mathbb {R}^4\).

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