A method and apparatus for writing data to a non-volatile memory cell, such as an STRAM memory cell or an RRAM memory cell. In some embodiments, a plurality of N non-volatile memory cells, where N is a greater than two, are connected to a common floating source line. A write circuit is adapted to program a selected memory cell of the plurality to a selected data state by passing a write current of selected magnitude through the selected memory cell and concurrently passing a portion of the write current in parallel through each of the remaining N−1 memory cells of the plurality via the common floating source line.