|  | 1 | = PDAFomi_put_state_en3dvar_lestkf_nondiagR = | 
          
            |  | 2 |  | 
          
            |  | 3 | This page documents the routine `PDAFomi_put_state_en3dvar_lestkf_nondiagR` of PDAF which is used in case of a non-diagonal observation error covariance matrix. This routine was introduced with PDAF V2.3. | 
          
            |  | 4 |  | 
          
            |  | 5 | The routine is typically called in `assimilate_pdaf` or directly in the model code. | 
          
            |  | 6 |  | 
          
            |  | 7 | The routines `PDAF_put_state_*` are used with the 'flexible' implementation variant of PDAF. | 
          
            |  | 8 | The general aspects of the filter specific routines `PDAF_put_state_*` are described on the page [ModifyModelforEnsembleIntegration Modification of the model code for the ensemble integration] and its sub-page on [InsertAnalysisStep inserting the analysis step]. For the 'fully parallel' implementation variant the alternative routines `PDAF_assimilate_*` are used. | 
          
            |  | 9 |  | 
          
            |  | 10 |  | 
          
            |  | 11 | The interface is: | 
          
            |  | 12 | {{{ | 
          
            |  | 13 | SUBROUTINE PDAFomi_put_state_en3dvar_lestkf_nondiagR(U_collect_state, U_distribute_state, & | 
          
            |  | 14 | U_init_dim_obs_pdafomi, U_obs_op_pdafomi, U_prodRinvA_pdafomi, & | 
          
            |  | 15 | U_cvt_ens, U_cvt_adj_ens, U_obs_op_lin_pdafomi, U_obs_op_adj_pdafomi, & | 
          
            |  | 16 | U_init_n_domains_p, U_init_dim_l, U_init_dim_obs_l_pdafomi, & | 
          
            |  | 17 | U_prodRinvA_l_pdafomi, U_g2l_state, U_l2g_state, & | 
          
            |  | 18 | U_prepoststep, U_next_observation, outflag) | 
          
            |  | 19 | }}} | 
          
            |  | 20 | with the following arguments: | 
          
            |  | 21 | * `U_collect_state`: The name of the user-supplied routine that initializes a state vector from the array holding the ensemble of model states from the model fields. This is basically the inverse operation to `U_distribute_state` used in `PDAF_get_state`. | 
          
            |  | 22 | * `U_init_dim_obs_pdafomi`: The name of the user-supplied routine that initializes the observation information and provides the size of observation vector | 
          
            |  | 23 | * `U_obs_op_pdafomi`: The name of the user-supplied routine that acts as the observation operator on some state vector | 
          
            |  | 24 | * `U_prodRinvA_pdafomi`: The name of the user-supplied routine that computes the product of the inverse of the observation error covariance matrix with some matrix provided to the routine by PDAF. | 
          
            |  | 25 | * `U_cvt_ens`: The name of the user-supplied routine that applies the ensemble control-vector transformation (square-root of the B-matrix) on some control vector to obtain a state vector. | 
          
            |  | 26 | * `U_cvt_adj_ens]: The name of the user-supplied routine that applies the adjoint ensemble control-vector transformation (with square-root of the B-matrix) on some state vector to obtain the control vector. | 
          
            |  | 27 | * `U_obs_op_lin_pdafomi`: The name of the user-supplied routine that acts as the linearized observation operator on some state vector | 
          
            |  | 28 | * `U_obs_op_adj_pdafomi`: The name of the user-supplied routine that acts as the adjoint observation operator on some state vector | 
          
            |  | 29 | * `U_init_n_domains`: The name of the routine that provides the number of local analysis domains | 
          
            |  | 30 | * `U_init_dim_l`: The name of the routine that provides the state dimension for a local analysis domain | 
          
            |  | 31 | * `U_init_dim_obs_l_pdafomi`: The name of the routine that initializes the size of the observation vector for a local analysis domain | 
          
            |  | 32 | * `U_prodRinvA_l_pdafomi`: The name of the user-supplied routine that computes the product of the inverse of the observation error covariance matrix with some matrix provided to the routine by PDAF including localization. | 
          
            |  | 33 | * `U_g2l_state`: The name of the routine that initializes a local state vector from the global state vector | 
          
            |  | 34 | * `U_l2g_state`: The name of the routine that initializes the corresponding part of the global state vector from the provided local state vector | 
          
            |  | 35 | * `U_prepoststep`: The name of the pre/poststep routine as in `PDAF_get_state` | 
          
            |  | 36 | * `status`: The integer status flag. It is zero, if the routine is exited without errors. | 
          
            |  | 37 |  | 
          
            |  | 38 |  | 
          
            |  | 39 | The user-supplied call-back routines are described on the page on [wiki:ImplementAnalysis_3DEnVar implementing the analysis step of 3D Ensemble Var with OMI]. | 
          
            |  | 40 |  | 
          
            |  | 41 | It is recommended that the value of `status_pdaf` is checked in the program after the routine is executed. Only if its value is 0 the initialization was successful. |