.](pone.0000000.g000){#pone.0000000.g000}  ![Errors in the reconstructed data for multiple runs of a problem with a moderate number of DoFs without system noise for the case in which rank *r* is set to be 0, where the seed for random numbers is different for multiple runs.](pone.0000000.g000){#pone.0000000.g000}  ![Errors in the eigenvalues for multiple runs of a problem with a moderate number of DoFs with system noise for the case in which rank *r* is set to be 00, where the seed for random numbers is different for multiple runs.](pone.0000000.g000){#pone.0000000.g000}  ![Errors in the reconstructed data for multiple runs of a problem with a moderate number of DoFs with system noise for the case in which rank *r* is set to be 00, where the seed for random numbers is different for multiple runs.](pone.0000000.g000){#pone.0000000.g000}  0.0 