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 March 12th, 2018, 12:57 PM #1 Newbie   Joined: Oct 2013 Posts: 20 Thanks: 0 How solve system 10 rational equations? Equations are like$\displaystyle \frac{a \cdot x_i+b\cdot y_1 + c}{1+d \cdot x_i + e \cdot y_i}$. I tried it with multidimensional Newton-Raphson method but is unconvergent if I don't know rough solution. It need subdivision algorithm?
 March 12th, 2018, 12:59 PM #2 Senior Member   Joined: Oct 2009 Posts: 850 Thanks: 327 Sorry, but I don't see an equality sign, so I don't see any equation. Can you provide an example?
 March 12th, 2018, 03:53 PM #3 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,597 Thanks: 1038 ...and are y1 and yi actual variables, or is that a typo? Suggest you post something CLEARER....we're not here to guess...
 March 12th, 2018, 06:34 PM #4 Global Moderator     Joined: Oct 2008 From: London, Ontario, Canada - The Forest City Posts: 7,958 Thanks: 1146 Math Focus: Elementary mathematics and beyond How about posting the entire problem while making sure there are no errors? Thanks from Denis and topsquark
 March 12th, 2018, 06:47 PM #5 Senior Member   Joined: Aug 2012 Posts: 2,357 Thanks: 740 OP mentioned subdivision algorithm. Google's first link on that phrase is to the subject of approximating a surface with a polygonal mesh in graphics programming. Question probably has something to do with that. OP, you are asking a question specific to an application domain, namely computer graphics. The audience here in general doesn't have that background. It would be helpful to provide some context. What are you doing, what problem are you trying to solve, how does your formula (not an equation as Microm@ss notes) relate to your problem, and what specific aspect of your problem you need help with. https://en.wikipedia.org/wiki/Subdivision_surface Thanks from Denis

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