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If you have some column vectors called $A$, $B$, and $C$ (all with the same number of rows), of the following form...

$A = \begin{pmatrix} a_1 \\ a_2 \\ \vdots \\ a_n \\ \end{pmatrix} ,\hspace{1 cm} B = \begin{pmatrix} b_1 \\ b_2 \\ \vdots \\ b_n \\ \end{pmatrix} , \hspace{1 cm} C = \begin{pmatrix} c_1 \\ c_2 \\ \vdots \\ c_n \\ \end{pmatrix}$

Is there any particular notation or name for the operation that produces a vector of the same length looking like the following?

$D= \begin{pmatrix} a_1b_1c_1 \\ a_2b_2c_2 \\ \vdots \\ a_nb_nc_n \\ \end{pmatrix}$

Sprog
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1 Answers1

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Element-wise multiplication is quite descriptive and is being used by the MATLAB community. This can also be used for matrices.

  • Great, thanks. The word 'element-wise' got me to this question: http://math.stackexchange.com/questions/20412/element-wise-or-pointwise-operations-notation I guess this has been asked many times before! – Sprog Jan 14 '16 at 22:09