Regular matrices references

Question

Can someone suggest me a book or a lecture note which covers regular matrices with all theories related to it? Any assistance will be much appreciated. (By regular I mean some power of the matrix is positive)

Answer 1

Here are just a few resources that I found:

This is a useful handout from MIT: Matrices

It isn't great on its own but it's a great resource to reference to if you can't remember something from your lectures.

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I use this book: Mathematical Methods for Physics and Engineering

It contains a good 70% of the maths that I require for my Physics degree. It has a good 80 pages on matrices and is great if you want to build upon a basic understanding of them.

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After a quick google search I found this book: Matrix Analysis and Applied Algebra Solutions

The final chapter of this book covers regular matrices and it looks like it also covers matrices related topics that I can think of off of the top of my head.

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Here are some lecture notes from Harvard that focus on regular matrices: Markov Matrices

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The Wikipedia article on regular matrices is a little wordy but very useful: Stochastic Matrix

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There is a more in-depth resource on regular matrices written by The University of New Mexico here: Stochastic Matrices

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Obviously some of these books are expensive. I hear that with some nifty internet skills there are PDF's available, although I do not endorse that kind of behaviour. If you cannot afford these books it is likely that they (or some similar books) will be available in a university's library.

I hope this helps! Sean.

EDIT: added the resources that I posted in the comments.

Answer 2

You may have a look on this book, which is a great resource concerning nonnegative matrices and related topics. Otherwise, any a bit more serious book on stochastic processes and Markov chains would be fine.