Re: notation for element-wise power of a matrix

In article <1157461966.185336.23400@xxxxxxxxxxxxxxxxxxxxxxxxxxx>,
thenappan@xxxxxxxxx wrote:

What is the notation used for element-wise power of a matrix.
Though all the numerical packages support element-wise power
of a matrix, Iam not able to find the exact notation that
differentiates this from the matrix power.

eg :

A = [ a1, a2, ... an ] is a 1xn vector.

Matrix power
--------------
A^2 = A * A
A^n = A * A * ... * A

Element-wise power
--------------------

?? = [ a1^2, a2^2, ..., an^2 ]
?? = [ a1^n, a2^n, ..., an^n ]

The entrywise product of two m-by-n matrices is sometimes called
the Hadamard product of the matrices. I guess the element-wise
powers could be called the Hadamard powers of the matrix. I'm not
aware of any standard notation.

--
Gerry Myerson (gerry@xxxxxxxxxxxxxxx) (i -> u for email)
.