Sum of matrix times scalars
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Hi,
I have a series of 3x3 matrices T1, T2, T3 ... TN. In addition, I have a series of scalars a1, a2, ... aN. I wish to perform the following sum WITHOUT the use of a for-loop. T1*a1 + T2*a2 + .... TN*aN. I have solved this using a for loop currently, but wish to take advantage of Matlabs superior data structures i.e. 3D arrays, cells, etc.
Thank you for your help !
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Matt J
2019년 10월 21일
편집: Matt J
2019년 10월 21일
Hold your 3x3 matrices in a 3x3xN array caled T and your scalars in an Nx1 vector called a and do,
result=reshape(T,9,[])*a(:);
result=reshape(result,3,3);
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Guillaume
2019년 10월 21일
Note that if a is a Nx1 vector, then a(:) and a are the same.
Another option is:
result = sum(T .* reshape(a, 1, 1, []), 3);
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