Methods, apparatus, systems and articles of manufacture to prepare a set of equations for a successive over relaxation processor are disclosed. An example apparatus includes an identifier to identify a set of equations that corresponds to pixels of an input image. Example apparatus also include a partitioner to divide the set of equations into partitions that contain mutually independent subsets of the equations and a collector to collect the subsets of the set of equations into groups, based on the partitions, to be solved in parallel by the successive over relaxation processor.