# Formal notation for number of rows/columns in a matrix

Is there a generally accepted formal notation for denoting the number of columns a matrix has (e.g to use in pseudocode/algorithm environment in LaTeX)? Something I could use in the description of an algorithm like:

if horizontaldim(V) > x then
end if


or

if size(V,2) > x then
end if


or should I just use a description like

if number of columns in V > x then
end if

• I've got the case where I need the number of rows and columns of several matrices quite often in one figure. Furthermore, I don't have much space for operator names like rows and cols. Sometimes $\#$ is used for the number of elements of a set. Applied to a matrix it could also denote the number of elements. What elements? One could adopt the syntax of the size-operator and write $\#_1 V$ for the number of rows and $\#_2 V$ for the number of columns. This notation would also work for multi-dimensional arrays with $\#_i V$ where $i$ is the index position. In the matrix case $i=1$ or $2$. Jul 13 '17 at 19:51

None that I know of, but I've seen numerical linear algebra books (e.g. Golub and Van Loan) just say something like $V\in\mathbb{R}^{m\times n}$ for a matrix V with m rows and n columns, and then use m and n in the following algorithm description.
• Might be obvious, but for completeness' sake: if V is a complex matrix, then it should be $V\in\mathbb{C}^{m\times n}$ . Aug 15 '10 at 1:59