User blog:MilkyWay90/A new ordinal notation

\(N(0, 0) = \omega\)

\(N(0, n) = \omega \uparrow \uparrow n\)

\(N(n, m) = N(n - 1, N(n, m - 1))\)

\(N(n, 0) = N(n - 1, \omega)\)

What is this ordinal notation's growth rate compared to other ordinal notations?