In applied mathematics, symmetric successive over-relaxation (SSOR), is a preconditioner. In applied mathematics, symmetric successive over-relaxation (SSOR), is a preconditioner. If the original matrix can be split into diagonal, lower and upper triangular as A = D + L + L T {displaystyle A=D+L+L^{T}} then the SSOR preconditioner matrix is defined as It can also be parametrised by ω {displaystyle omega } as follows.