QR_MUMPS
Functions/Subroutines
qrm_least_squares.F90 File Reference

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Functions/Subroutines

subroutine _qrm_least_squares2d (qrm_mat, b, x)
 This routine computes the least-squares solution of a problem. More...
 
subroutine _qrm_least_squares1d (qrm_mat, b, x)
 This routine computes the least-squares solution of a problem. More...
 

Function/Subroutine Documentation

subroutine _qrm_least_squares1d ( type(_qrm_spmat_type qrm_mat,
  b,
  x 
)

This routine computes the least-squares solution of a problem.

This routine computed the least-squares solution of an overdetermined system Ax=b with a single RHS.

Parameters
[in]qrm_mata qrm_spmat_type data which contains the input matrix. On output the original data will be unchanged and the result of the analysis and factorization phases will be stored in the adata and fdata fields, respectively.
[in,out]bthe RHSs. A 1D array of leading dimension qrm_matm. On output it will contain Q'*b
[out]xthe solution, i.e., R'*b

Definition at line 118 of file qrm_least_squares.F90.

References _qrm_analyse(), _qrm_apply1d(), _qrm_spmat_mod::_qrm_check_spmat(), _qrm_factorize(), _qrm_solve1d(), qrm_error_mod::qrm_abort_, qrm_error_mod::qrm_err_act_restore(), qrm_error_mod::qrm_err_act_save(), qrm_error_mod::qrm_err_check(), and qrm_error_mod::qrm_err_push().

Referenced by _qrm_methods_mod::_qrm_least_squares1dw().

subroutine _qrm_least_squares2d ( type(_qrm_spmat_type qrm_mat,
  b,
  x 
)

This routine computes the least-squares solution of a problem.

This routine computed the least-squares solution of an overdetermined system Ax=b with multiple RHSs.

Parameters
[in]qrm_mata qrm_spmat_type data which contains the input matrix. On output the original data will be unchanged and the result of the analysis and factorization phases will be stored in the adata and fdata fields, respectively.
[in,out]bthe RHSs. A 2D array of leading dimension qrm_matm. On output it will contain Q'*b
[out]xthe solution, i.e., R'*b

Definition at line 50 of file qrm_least_squares.F90.

References _qrm_analyse(), _qrm_apply2d(), _qrm_spmat_mod::_qrm_check_spmat(), _qrm_factorize(), _qrm_solve2d(), qrm_error_mod::qrm_abort_, qrm_error_mod::qrm_err_act_restore(), qrm_error_mod::qrm_err_act_save(), qrm_error_mod::qrm_err_check(), and qrm_error_mod::qrm_err_push().

Referenced by _qrm_methods_mod::_qrm_least_squares2dw().