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Roots of algebraic equations and Clifford algebra

Authors:

Gaston Casanova

Affiliation:

1. 6 Avenue Paul Appell, 75014, Paris, France

Abstract:

If an algebraic equation onIR admits real roots it admits hyperbolic roots which are elements of the set (x ₀ + εy ₀) where ε is a Clifford number having a square equal to 1. The equation can have hyperbolic or real roots

[((a₁ + a₂ ))/2] + e[((a₁ - a₂ ))/2]{{(a_1 + a_2 )} over 2} + varepsilon {{(a_1 - a_2 )} over 2}

Keywords:
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