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Timeline for Topics for a matrix analysis course

Current License: CC BY-SA 2.5

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Apr 14, 2011 at 15:22 comment added Mark Meckes @Andrew L: Indeed reasons of time force many desirable topics to be omitted. I haven't decided about Gershgorin's theorem, because I'm not sure whether it's useful enough to favor it over other topics. I almost certainly will omit Jordan form. Although Jordan form is useful for understanding the algebra of matrices, it is badly behaved from an analytic point of view, and so it doesn't really fit into this class.
Apr 10, 2011 at 5:32 comment added Yemon Choi Thanks for the info, Andrew. I can't remember where I was first shown Gershgorin's theorem -- it may be one of those topics which is not left out of 2nd courses because of difficulty, but just for reasons of time.
Apr 9, 2011 at 23:26 comment added The Mathemagician Well,just speaking for myself,i first saw Gershgorin's theorem in my second semester of linear algebra.I think any matrix analysis course that doesn't have a full discussion of the Jordan form and its role in linear analysis is seriously missing the point.
Apr 5, 2011 at 19:12 comment added Yemon Choi Well, yes ;-) Trotter's paper in Adv Math is the earliest reference I've seen, but I have at best a superficial knowledge of the RM literature.
Apr 5, 2011 at 11:45 comment added Mark Meckes Ahem?: mathoverflow.net/questions/54474/…
Apr 5, 2011 at 3:20 history answered Yemon Choi CC BY-SA 2.5