Tensor multiplication (Rank 4)

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William White 2017-8-1

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编辑： José-Luis 2017-8-1

Is there a quick method (or quick and easy method) to transform rank 4 tensors in Matlab?

that is if I have a rank 4 tensor C(mnop) and a 3x3 transformation matrix A:

how do I implement this in matlab:

C'(ijkl) = A(im) A(jn) A(ko) A(lp) C(mnop)

C' = A A C AT AT

(where AT is the transpose of A)

kind regards William

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José-Luis 2017-8-1

编辑：José-Luis 2017-8-1

Nowadays (R2016b +) Matlab allows for explicit expansion of arithmetic operations. This should take it a step closer to what you want.

Unsolicited disclaimer: I don't personally use that because I still find it confusing. I guess I'm getting old.

William White 2017-8-1

you're not wrong - that does look confusing. I was hoping for a something a little more straightforward (i.e. a one line command like one would use to transform a matrix!)

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