The anisotropic norm of a linear discrete-time-invariant system is a measure of system output sensitivity to stationary Gaussian input disturbances with mean anisotropy bounded by some nonnegative parameter. The mean anisotropy characterizes the predictability (or coloredness) degree of stochastic signal. The anisotropic norm of a system is an induced norm, which limiting cases are H2- and H-infinity-norms as a→0 and a→infinity, respectively. A method for numerical computation of the anisotropic norm was proposed by I.G.Vladimirov et al. This method involves linked Riccati and Lyapunov equations and associated special type equation. This paper develops a method for computing the anisotropic norm that reduces to finding a strongly rank-minimizing solution of linear matrix inequality and a solution of special type nonlinear algebraic equation.