Gauss Elimination - making my upper triangular matrix

29 views (last 30 days)
Hi I was trying to figure out how to make the upper triangular matrix for a matrix of unspecified length (nxn), but my line 7 keeps getting an error and I can't seem to figure out why. Please help thank youu and my code is below!!
function[x]=Gauss(a,b)
B=[a b];
n=length(b);
for j= 1:n
B=sortrows(B(j:n),'descend');
for i=j+1:n
B(i,:)=B(i,:)-((B(i,j)*B(j,:))/B(j,j));
end
end
Errors:
Index in position 1 exceeds array bounds. Index must not exceed 1.
Error in Gauss (line 7)
B(i,:)=B(i,:)-(B(i,j)/B(j,j))*B(j,:);

Accepted Answer

Walter Roberson
Walter Roberson on 1 Oct 2022
length(b) of a 2D array is defined as
length = 0 if isempty(b)
length = max(size(b)) otherwise
You should avoid using length() for anything that might be a matrix, as you do not know whether the size returned refers to rows or columns.
B=[a b];
B is the augmented matrix. Typically it would have multiple rows; it will have multiple columns unless a and b are both empty or one of them is empty and the other has only a single column.
B=sortrows(B(j:n),'descend');
You are using a single index for B. If B is 2D or B is a column vector then the result would be a column vector; if B happens to be a row vector (because a and b both have exactly one row) then B(j:n) would be a row vector. Either way it seems unlikely that sortrows() is the desired operation on what is either a row or column vector.
Notice that B(j:n) would be a subset of B. So each time through your for j loop, B is going to be getting smaller -- faster than you would expect. The first time through, you would be taking B(1:n), which would be length n. The second time through you would be taking B(2:n) which would give you a vector of length n-1 and that replaces B. The third time through you would take B(3:n) -- but B refers to the B that has already had B(1) removed in the previous iteration, so B(3:n) would correspond to what was originally B(4:n). The next time through, j=4, B(4:n) but that is relative to the B created in the pervious iteration, so it would be B(8:n) relative to the original matrix...
I would suggest to you that the B(j:n), if it were correct at all, should be referring to the original B, not to the output of the sortrows() of the partial B.
Perhaps you want to sortrows() based upon columns j to n -- which is something that you can do with sortrows()

More Answers (0)

Products


Release

R2021b

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!