On-diagonal Matrix Moore-penrose Inverse Parallel Computing

Three parallel algorithms are presented to compute Moore-Penrose inverse of a bidiagonalmatrix.They are null space parallel algorithm , Greville parallel algorithm and divide and conquerparallel algorithm.In the end of each chapter,I also give a numerical example and a theorem whichdeals with computing parallel eff?ciency. At the same time ,I also give the resource code of theseparallel algorithms in MPI circumstance.