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Have the 2D matrix operations been generalized to n-dimensional matrices?

Are there any books that define various operations on multidimensional matrix? I'd like to see operations such as multidimensional matrix multiplication, multidimensional matrix transpose, multidimensional matrix inversion.

I got only this reference on the net.

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Don't you mean tensors ? –  Piyush Grover Jun 18 '13 at 21:44
No. I wonder if there could be any differences between tensors and multidimensional matrices. –  tem pora Jun 18 '13 at 21:46
Multidimensional matrices are known as tensors, and working with them is known as multilinear algebra. If you dig around, you can find expositions of this. –  Deane Yang Jun 18 '13 at 21:48
@Yang thank you. I guess, the term multidimensional matrix is not used in mainstream literature. That was the main reason for my confusion. –  tem pora Jun 18 '13 at 22:00

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