Bipartite min-max-plus system
[x] = minmaxplussys(A,B,x0)
Bipartite min-max-plus system given by equations
x2 = A⊗y1 and y2 = B⊗' x1 (1)
where A∊ℝεn×m, B ∊ℝT m×n, x1,x2∊ℝεn, and y1,y2 ∊ℝT m. This function, x0=[x1;y1] and x=[x2;y2].
For details see: Subiono and J.van der Woude (2000); "Power algorithms for (max,∔)- and bipartite (min,max,∔)-systems"; DEDS, vol.10, pp.369-389, 2000.
A =[2 -3 6 2 -11; 13 12 19 -6 21; -10 8 14 -5 -16]; B =[16 8 4; -11 10 14; -8 -4 4; 13 -1 -7; 4 7 0]; x0=zeros(8,1); x = minmaxplussys(A,B,x0) | ![]() | ![]() |