It turns out that coordinate assent compared to some of the algorithms we saw previously " compared to, say, Newton's method, coordinate assent will usually take a lot more steps, but the chief advantage of coordinate assent when it works well is that sometimes the optimization objective W sometimes is very inexpensive to optimize W with respect to any one of your parameters, and so coordinate assent has to take many more iterations than, say, Newton's method in order to converge. 