You will find fully worked matrix inversion methods for solving the net radiation method. For an N-surface enclosure, the manual demonstrates how to set up the radiosity equations: $$J_i = \epsilon_i \sigma T_i^4 + (1-\epsilon_i) \sum_j=1^N F_ij J_j$$ And then solve for surface temperatures or heat fluxes.
: This classic text covers fundamental physical principles and numerical techniques. Highlights
