Quartic Roots-Using 2 ‘Big W’ Substitutes

Author(s): Greg Oliver

Originally published on Towards AI.

Quartics With ‘Big W’ Shape Substitutes For Simpler Roots vs Constant E Variations

I have previously used Big W’s y=x⁴+Bx²+E as genetic architecture for finding Reduced Quartic roots, but this post adopts 2 generic Big W’s as substitute profiles for the 2 exterior roots. Think of it as ‘2 factor’ verification!

While the resultant roots are very close to actual, the key advantage of the method, apart from learning Polynomial architecture, is that having found the conforming Big W’s, it is a very simple matter to recalculate roots with design changes in the Constant E.

Derivation of the 2 Big W substitute functions is made simple with;

the use of the ‘Golden Ratio’ to provide matching… Read the full blog for free on Medium.

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Published via Towards AI