I think I see what is going on, but when I run my results in R I get strange results that cannot be right. I am thrown off by the subscripts. I would like to see what your take is on the write up.
My interpretation is I have two 32X32 (number teams) systems of the form A*x = b where, for example, b is the historical defensive statistic and each row in A represents the match ups for team k. So in the first step of the algorithm A is filled with 1's and 0's representing the matchup for that season. However, this can only be done per season, but the paper indicates the usage of historical statistics for the system. I am not sure I can use matchup information at that level as every team has faced off if you back far enough meaning A would be filled with 1's and as result, be singular. When I do it this way I end up with negative, so I don't think it is correct.
I think the subscripts are throwing me off or possible incorrect. Any feedback would be appreciated.