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I.4.7.3 Multiplication operator

The multiplication operator can be used as follows:

z = x * y.

The meaning of this operation depends on the tensorial orders of x and y. The various possibilities are summarized in Table I.4.8 with a short explanation of the meaning of the operation when deemed necessary.


Table I.4.8: Possible arguments of the Result multiplication operator, returned value, and meaning of the operation.




zxy meaning








S S S




V S V




M S M




V V S




S V V scalar product of two vectors




V V M left multiplication of a matrix by a vector




M M S




V M V right multiplication of a matrix by a vector