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GRAM-SCHMIDT FUNCTION IS NOT GIVING CORRECT VALUES

조회 수: 4(최근 30일)
nikhil mahar
nikhil mahar 2021년 5월 8일
편집: nikhil mahar 2021년 5월 9일
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.

답변(1개)

Scott MacKenzie
Scott MacKenzie 2021년 5월 8일
It would be helpful if you posted your code as MATLAB code, not question text.
  댓글 수: 2
nikhil mahar
nikhil mahar 2021년 5월 8일
these are the functions(phi) which i am trying to get from first 2 formule.

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