How can I know a radiosity linear system can be implemented using the iterative method?

That is, I want to check if the linear system derived from a radiosity problem is convergent. I also wa开发者_开发知识库nt to know is there any book/paper giving a proof on the convergence of the radiosity problem?

Thanks.

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I assume you're solving B = (I - rho*F) B (based on the wikipedia article)

Gauss-Seidel and Jacobi iteration methods are both guaranteed to converge if the matrix is diagonally dominant (Gauss-Seidel is also guaranteed to converge if the matrix is symmetric and positive definite).

The rows of the F matrix (view factors) sum to 1, so if rho (reflectivity) is < 1, which physically it should be, the matrix will be diagonally dominant.