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The absence of compelling theoretical model requires the parameterizing thedark energy to probe its properties. The parametrization of the equation ofstate of the dark energy is a common method. We explore the theoreticaloptimization of the parametrization based on the Fisher information matrix. Asa suitable parametrization, it should be stable at high redshift and shouldproduce the determinant of the Fisher matrix as large as possible. For theillustration, we propose one parametrization which can satisfy both criteria.By using the proper parametrization, we can improve the constraints on the darkenergy even for the same data. We also show the weakness of the so-calledprincipal component analysis method.

Optimal strategies : theoretical approaches to the parametrization of the dark energy equation of state