A method, apparatus, and program product to allocate processor resources to a plurality of logical partitions in a computing device including a plurality of processors, each processor having at least one general purpose processing element and a plurality of synergistic processing elements. General purpose processing element resources and synergistic processing element resources are separately allocated to each logical partition. The synergistic processing element resources to each logical partition are allocated such that each synergistic processing element is assigned to a logical partition exclusively. At least one virtual processor is allocated for each logical partition. The at least one virtual processor may be allocated virtual general purpose processing element resources and virtual synergistic processing element resources that correspond to the general purpose processing element resources and synergistic processing element resources allocated to the logical partition.