Durand–Kerner method: Difference between revisions

Revision as of 22:10, 23 April 2019

Revision as of 09:35, 27 July 2019

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Let the polynomial ƒ be defined by

:&fnof;<math>f(''x'') = ''x''^{^4} + ''ax''^{^3} + ''bx''^{^2} + ''cx'' + ''d''.</math>

for all ''x''.

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Then

:&fnof;<math>f(''x'') = (''x'' &minus; ''-P'')(''x'' &minus; ''-Q'')(''x'' &minus; ''-R'')(''x'' &minus; ''-S'')</math>

for all ''x''. One can isolate the value ''P'' from this equation,