How to avoid writing a for loop in A\b when A and b are different dimensions
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I am currently solving
where A is a 3d complex array of dimension
and b is a 2d real array of dimension
. In order to do this, I create a single for loop which calls linsolve()
times.
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1299765/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1299770/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1299775/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1299780/image.png)
Could I avoid writing this for loop so that I wouldn't have to spend the extra computation calling linsolve()
times? It appears that the pagemldivide() function might be one way of doing this.
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1299780/image.png)
clear all; close all;
% Original Method
Nx = 32;
A = complex(rand(Nx+1,Nx+1,Nx),rand(Nx+1,Nx+1,Nx)); % A is a 3D complex array
b = rand(Nx+1,Nx); % b is a 2D real array
soln = zeros(Nx,Nx+1); % the resulting solution will be a 2d complex array
for j=1:Nx
prob = linsolve(A(:,:,j),b(:,j)); % A\b
soln(j,:) = prob.'; % Size (Nx,Nx+1)
end
% New Method
soln_tilde = pagemldivide(A(:,:).',b(:)); % Size (Nx+1,1)
Is there a way of using pagemldivide() (or a seperate Matlab function) to avoid writing a for loop and get the same resulting solution of size
?
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1299795/image.png)
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