Calculation of critical points using a reduction method

For the spectral decomposition of C¯, the method is particularly efficient for mixtures with many components and few nonzero BIP. The proposed method proved its reliability when tested for several mixtures having various phase diagram shapes. Finally, we show that critical points of mixtures with more than 50 components, with a detailed paraffin-naphthene-aromatic (PNA) distribution of the heavy fraction, can be calculated by only performing linear algebra operations with a small dimensionality. Application of the reduction method leads to important savings in computer time.