# Talk:Matrix polynomial

## Characteristic equation

It's used in other Wikipedia articles with that meaning, but I'm not convinced it's actually used in the real world. — Arthur Rubin (talk) 09:41, 15 October 2010 (UTC)

• I've only ever heard it refer to the equation of the vanishing of the characteristic polynomial. Thinking this might be an applied math versus pure math thing, I just checked Horn and Johnson's "Matrix Analysis" for confirmation. They also use characteristic equation to refer to the characteristic polynomial. I don't think our usage is supported by usage in the real world. If you see it used in this way elsewhere in Wikipedia, I suggest removing it. Sławomir Biały (talk) 10:50, 16 October 2010 (UTC)

## Proposal for deletion

I have encountered this page after a discussion on Mathoverflow. I am a researcher in numerical linear algebra, and as far as I know the term is used differently from what is explained here. The page should link to polynomial matrix in my view. See for instance the monography Gohberg, Lancaster, Rodman, *Matrix Polynomials*.

Moreover, there are several mathematically dubious statements in the article (in what sense "Matrix polynomials can be used to sum a matrix geometrical series"? The following example is a sequence, not a series. How is exactly a matrix polynomial defined, if the definition has to include the commutator?). In my view, it would be best if this simply went away. Fph 14:07, 15 June 2014 (UTC) — Preceding unsigned comment added by Fph (talkcontribs)

A possible use for this article is to disambiguate between, for example, polynomial matrix and the articles on the various polynomials associated to a matrix, such as the characteristic polynomial and minimal polynomial (linear algebra), each of which might reasonably be what someone wants from the search term "matrix polynomial". Deltahedron (talk) 17:30, 16 June 2014 (UTC)