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Column-wise Mean-Square value of matrix
Syntax y = colmsq(x)
Include: include spt\colmsq.oms
See Also

ARGUMENTS:  
   INPUTS:  
      x = MATRIX, any numerical type.
   RETURN: VECTOR, column-wise mean-square value.

Description

Returns a row vector with the column-wise Mean-Square (msq) value of input matrix. Each element of the returned vector is the average of the norm squared of the corresponding column. Output is of same type as input except for INTEGER input which is coerced to DOUBLE before processing. COMPLEX inputs are converted to their ABSOLUTE value before being averaged; type DOUBLE is returned.

Example

For vectors:

O>x = {1,2,3,4,5}
O>x
{
1
2
3
4
5
}

O>colmsq(x)
11 

For matrices:

O>A = {[1,2,3],[4,5,6]}
O>A
{
[ 1 , 2 , 3 ]
[ 4 , 5 , 6 ]
}

O>colmsq(A)
[ 8.5 , 14.5 , 22.5 ]