Samarski on 2-factor monotone schemes (nice idea, but it doesn't work.. constraint 3.21 is impossible). You can get it monotone but I'm not telling.
Roelof does a better job.
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Yes. Part of my PhD thesis in 1980 used some of the results. > 40 years ago@Cuchulainn : I am reading a quite good book over these topics : Matrix Iterative Analysis by Richard S. Varga. It is a book from 1962, updated in 1999. The whole chapter 3 is dedicated to M and H matrices, Chapter 8 to their use in parabolic problems.
You should appreciate most of the other chapter : chap 7 on alternate directions and so on.