How to repeat calculations at different large sets of coordinates.

Hi there,

I'm very new to Matlab and working in for interpolation project. I couldn't get this figured out how to repeat the calculation for the estimates value of z for large sets of coordinates (about 100 coordinates) at one time. Currently I'm stuck at only solving one coordinate per time. Does anybody have any suggestions for how to do this? Thank you.

%import data from .txt file
Valuez=importdata('xyz.txt');
Coordinate=Valuez.data;
x=Coordinate(:,1);
y=Coordinate(:,2);
z=Coordinate(:,3);
%Create the matrix/vector of distances between the pairs of data points
xy = [x y]; 
[m n] = size(xy);
n = m;
D1 = zeros(m, n);
for i = 1 : m 
  for j = 1 : n
      D1(i, j) = sqrt((xy(i, 1) - xy(j, 1)) ^ 2 + (xy(i, 2) - xy(j, 2)) ^ 2);
  end     
end
D1;
%Data covariance matrix using power variogram model (power=1.5)
K=D1.^(1.5);
%Coordinate input
x1=5;
y1=3;
%Create the vector of distances between data points with estimation points
xy1=[x1 y1];
D2=pdist2(xy,xy1);
k= D2.^(1.5);
%Solve
lambda1=K^-1 * k;
z1= lambda1.'*z;

z1

Answer 1

[KALYAN ACHARJYA]

z1= lambda1.*z

Command Window:

>> z1
z1 =
   -0.1666
    0.5964
    0.9796
    0.0263
   -0.3027
    3.7607

Any issue?

[Zephyr]

Currently I'm stuck at only solving one coordinate per time. Need to solve multiple coordinates at once. For example to find the value of z1,z2,z3.....,z100 at given coordinates (x1,y1),(x2,y2), (x3,y3)...,(x100,y100).

[KALYAN ACHARJYA]

for l=1:100
z(l)= %Do calculation based on ......(x(l),y(l))
% Assuming z1, z2 are scalars
% If z1, z2 are vectors, use
z{l}= %Do calculation based on ......(x(l),y(l))
end