I am stuck on a interpolation problem, please help

Printable View

- May 25th 2010, 09:00 AMsowhatInterpolation Question
I am stuck on a interpolation problem, please help

- May 26th 2010, 04:40 AMHallsofIvy
You have a system of 5 linear equations. Where are you stuck. Have you written down the equations yet?

- May 26th 2010, 08:04 AMsowhat
I don't exactly understand how to write the linear equations with which to set up the system :(

- May 27th 2010, 03:04 AMHallsofIvy
Set $\displaystyle f(x_n,y_n)= p(x_n, y_n)$ for each of the given pairs!

For example, $\displaystyle f(x_0, y_0)= e^x_0 sin(y_0)$ while $\displaystyle p(x_0, y_0)= c_0+ c_1x_0+ c_2y_0+ c_3x_0y_0+ c_4x_0^2+ c_5y_0^2$ so one of your equations is

$\displaystyle c_0+ c_1x_0+ c_2y_0+ c_3x_0y_0+ c_4x_0^2+ c_5y_0^2= e^x_0sin(y_0)$