Dylan mentions "matrix classes" and then concludes:
Maybe "Computational" would be a better name than "Numeric"?
I've been trying to demonstrate that there more to "matrix" than just data structure or just simple linear equation solver. It is easy to come up with the latter, or with a set of primitive product operations. But people seem to be ignoring the fact that there is much more to linear algebra than those trivialities. Eigenproblems for example... Dense cases, sparse cases and all that Pandorra box of non-trivial engineering tools.
These things are still alive, thank you very much, and the papers are still written about them every day. Neither the problems nor the papers are trivial.
Yet they are being ignored in your hierarchy. Please, mark at least some spot for them. And do not tie them to "matrix" because "matrix" is just one specific representation of operator algebra -- as I am showing in some modules of mine, for example. I do not care what name you choose. Computational? Linear algebra? But please do not ignore them altogether.
We're not ignoring these issues, sorry if you got that impression. I'd certainly like to see a suggestion (better still, a proposal) for organising these libraries from people such as yourself and Dylan. Cheers, Simon