Interpolation with random nodes
- To: mathgroup at smc.vnet.net
- Subject: [mg44754] Interpolation with random nodes
- From: "Wojtek" <a_d_u_n at o2.pl>
- Date: Tue, 25 Nov 2003 00:45:22 -0500 (EST)
- Sender: owner-wri-mathgroup at wolfram.com
Hello,
I want to interpolate function with a few different sets of nodes.
One of them are random ones. I have made the list of nodes and my function's
values:
(n is given)
data1=Table[{e=Random[]*2-1,ArcTan(x,0.,n}]
and I have a list: {{x_0,f(x_0)},{x_1,f(x_1)}...}
I use the following formula to calculate my function
L(x) = SUM(j=0..n) f(x_j) * Lambda(j,x)
And I need to extract these values from my list.
and I want to define two functions
y[n] - this returns the f(x_n) from my list
x[n] - this returns the x_n from my list
how can I do it in mathematica?
Thank you for any help
Wojtek