I agree with your point that it may be valuable to the reader to also mention common libraries or built-ins that solve the same problem that was discussed in the article somewhere near the end. More generally, linking to sources, docs, related work, or next steps can be very nice for readers to further their education. Framing your original comments with "the author should also mention... a standard solver like CHOLMOD" or "a standard solver like CHOLMOD ... as a sanity check that your implementation is working" as you described would have had a good chance of preventing our communication misfire and avoiding my (perhaps unnecessarily strong) snark.