Fisher Matrix Decomposition for Dark Energy Prediction

Understand

Within the context of constraining an expansion of the dark energy equation of state w(z) we show that the eigendecomposition of Fisher matrices is sensitive to both the maximum order of the expansion and the basis set choice.

• We investigate the Fisher matrix formalism in the case that a particular function is expanded in some basis set.
• As an example we show results for an all sky weak lensing tomographic experiment.
• We show that the set of eigenfunctions is not unique and that the best constrained functions are only reproduced accurately at very higher order N > 100, a tophat basis set requires an even higher order.