1. A method of magnetic resonance imaging reconstruction with phase error correction comprising the steps of: a) Obtaining data for a plurality of k-space trajectories using a plurality of receiver coils, each with a specific coil phase, b) Defining data in terms of coil sensitivity and position vectors, c) Modifying step (b) to include a time invariant phase perturbation and a time variant phase perturbation along with each coil specific phase, and d) Iteratively reconstructing the data to form image data for image reconstruction.