GRAM-SCHMIDT FUNCTION IS NOT GIVING CORRECT VALUES
3 views (last 30 days)
Show older comments
Hello everyone,
I am trying to obtain equations of phi. I am getting wrong value of phi{3}. There is somthing wrong, which I am unable to figure out.
here is code:
clc
clear all;
initial_function=@(x,y)x.^2;
m=3;
for i=1:m;
r=floor(sqrt(i-1));
t=i-1-r.^2;
if t/2==0;
s=t/2;
fm{i}=@(x,y)(x.^r).*(y.^s)
else
s=(t-1)/2;
fm{i}=@(x,y)(x.^s).*(y.^r);
end
end
for i=1:1
phi{i}=@(x,y)fm{1}(x,y).*initial_function(x,y);
end
xmin=@(y) y;
syms x y;
for i=2:m
phi{i}=@(x,y)fm{i}(x,y).*phi{1}(x,y);
for j=1:i-1;
a{i}{j} = integral2(@(y,x)fm{i}(x,y).*phi{1}(x,y).*phi{j}(x,y),0,1,xmin,1)./integral2(@(y,x)phi{j}(x,y).*phi{j}(x,y),0,1,xmin,1);
phi{i}=@(x,y)phi{i}(x,y)-a{i}{j}.*phi{j}(x,y);
end
phi1{i}=phi{i}(x,y);
end
phi{1} and phi{2} are correct.
phi{3} which i am getting from matlab is: x^2*y - (29645651611899925216907*x^2)/81129638414606681695789005144064 - (4503599623397961*x^3)/9007199254740992
while correct phi{3} is: x^2*y- 3.328*10^(-3) - 0.504x^3.
I shall be very thankful if somone can help.
0 Comments
Answers (1)
Scott MacKenzie
on 8 May 2021
It would be helpful if you posted your code as MATLAB code, not question text.
2 Comments
Scott MacKenzie
on 8 May 2021
You could have just done this in your original question: select the code and click the code button. ![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/611670/image.jpeg)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/611670/image.jpeg)
Not to worry. I just tried to execute the code, but it requires the Symbolic Math Toolbox, which I don't have. Hopefully, someone else will weight in and assist. Good luck.
See Also
Categories
Find more on Number Theory in Help Center and File Exchange
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!