Manuals/calci/HADAMARDPRODUCT

HADAMARDPRODUCT (a,b)

$a$ and $b$ are any two matrices.

Description

This function shows the value of the Hadamard product.
In $HADAMARDPRODUCT(a,b)$ , $a$ and $b$ are two matrices.
Hadamard product is also called Schur product or entrywise product.
The Hadamard product is associative,commutative and distributive.
Hadamard product is defined by,For two matrices, A and B of the same dimension mxn, the Hadamard product $A\circ B$ , is a matrix, of the same dimension as the operands, with elements given by:

$(A\circ B)_{i,j}=(A)_{i,j}(B)_{i,j}$

Hadamard Product of order 2 is calculated by:

${\begin{pmatrix}a_{11}&a_{12}\\a_{21}&a_{22}\end{pmatrix}}$ $\circ$ ${\begin{pmatrix}b_{11}&b_{12}\\b_{21}&b_{22}\end{pmatrix}}$ = ${\begin{pmatrix}a_{11}b_{11}&a_{12}b_{12}\\a_{21}b_{21}&a_{22}b_{22}\end{pmatrix}}$