This is an analog of preconditioned Richardson iteration for solving eigenvalue problems. The preconditioned problem is then usually solved by an iterative method. This is the preconditioned Richardson iteration for solving a system of linear equations. This generality is used in preconditioned gradient descent methods. AICAR triggers a preconditioned anti-inflammatory state by increasing NO production from endothelial nitric oxide synthase. The preconditioned matrix formula 23 or formula 26 is almost never explicitly formed. These locations are generally preconditioned by certain oceanic dynamics. Mid-sea polynyas are formed when specific atmospheric conditions occur over preconditioned oceanographic areas. In his autobiography, he says this family environment "preconditioned me for history as a discipline". The preconditioned version was analyzed in and.