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 \(\mathbb {R}^4\).
Dedicated to Wolfgang Sprößig on the occasion of his 70th birthday
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Janovská, D., Opfer, G. (2019). Newton’s Approach to General Algebraic Equations over Clifford Algebras. In: Bernstein, S. (eds) Topics in Clifford Analysis. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-23854-4_13
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DOI: https://doi.org/10.1007/978-3-030-23854-4_13
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