| Abstract:
In this talk, we will start with a review the M-P inverse of matrices and
their basic properties. We then discuss analogous results to tensors using
the Einstein products, which are natural generalization of matrix products
to hypermatrices. We will end the talk by proving the existence and
uniqueness of the M-P inverse of tensors. To do this, we will introduce
the so-called column(row) major format transformations which enable us
obtain the singular value decomposition (SVD) of tensors.
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