I How do I convert [D]=[A][ B]T[C] to index notation?

[kezzstar]

I am having trouble converting [D]=[A][ B]^T[C] to index notation.
I initially thought it would be D_ij=A_ijB_kjC_kl but I have doubts that this is correct.

Would anyone be able to elaborate on this?

Regards

 

[Khashishi]

Where did B come from?

 

[kezzstar]

Where did B come from?

B^T? It is the transpose of B.

 

[Khashishi]

Err, did you edit your post? I didn't see a B in your equation before. Anyways, nevermind.

 

[kezzstar]

Err, did you edit your post? I didn't see a B in your equation before. Anyways, nevermind.

No I never editted the equation. Do you have any ideas?

 

[Mark44]

Err, did you edit your post? I didn't see a B in your equation before. Anyways, nevermind.

The OP had , which browsers treat as the start tag for bold fonts. That screwed up the equation. I edited the equation to fix that problem.

 

[Svein]

I am having trouble converting [D]=[A][ B]T[C] to index notation.

OK. Let us start at the right. First: B^{T}_{j,k}=B_{k,j}, so (B^{T}\circ C)_{j,l}=\sum _{k}B^{T}_{j,k}C_{k,l}. Then inset A at the front in the same way: A\circ (B^{T}\circ C)_{i,l}=\sum _{j}A_{i,j}(\sum _{k}B^{T}_{j,k}C_{k,l}).