A method for processing seismic data. The method may include receiving seismic data due to a plurality of seismic sources and applying a first operator to the seismic data in an i th domain to generate a first estimate of seismic data due to an i th seismic source. The i th domain may correspond to the i th seismic source of the plurality of seismic sources. The method may then include applying a second operator to the first estimate of seismic data due to the i th seismic source in one or more domains other than the I th domain to generate residual seismic data due to one or more seismic sources other than the I th seismic source. After applying the a second operator to the first estimate of seismic data due to the i th seismic source, the method may determine a second estimate of seismic data due to the i th seismic source based on the first estimate and the residual seismic data due to the seismic sources other than the I th seismic source. The method may then repeat some of the steps described above (i.e., applying a first operator to the seismic data, applying a second operator to the first estimate of seismic data and determining a second estimate of seismic data due to the I th seismic source for each seismic source). The method may then process the second estimate of seismic data due to each seismic source to determine the presence of hydrocarbon deposits in a subterranean area of the earth.