# Newton-Raphson

• Jul 13th 2009, 11:25 PM
summna09
Newton-Raphson
solve the equation completely:
4iz^3 + iz + 6 + 22i = 0 where i=(-1)^0.5
use a starting value of z initial = 1 + i

THANKS
• Jul 14th 2009, 01:21 AM
arze
Quote:

Originally Posted by summna09
solve the equation completely:
4iz^3 + iz + 6 + 22i = 0 where i=(-1)^0.5
use a starting value of z initial = 1 + i

THANKS

i don't think you can have a number $\displaystyle \sqrt{-1}$
is this the whole question?
• Jul 14th 2009, 01:58 AM
mr fantastic
Quote:

Originally Posted by summna09
solve the equation completely:
4iz^3 + iz + 6 + 22i = 0 where i=(-1)^0.5
use a starting value of z initial = 1 + i

THANKS

Where are you stuck in applying the algorithm?

Are you trying to create a fractal?

Quote:

Originally Posted by arze
i don't think you can have a number $\displaystyle \sqrt{-1}$
is this the whole question?

Newton-Raphson works exactly the same in complex analysis as it does in real analysis - same derivatives, same formula ....