F04 Chapter Contents : NAG Library Manual, Mark 26

Routine Name	Mark of Introduction	Purpose
f04abf Example Text Example Data	2	nagf_linsys_withdraw_real_posdef_solve_ref Solution of real symmetric positive definite simultaneous linear equations with multiple right-hand sides using iterative refinement (Black Box) Note: this routine is scheduled for withdrawal at Mark 28, see Advice on Replacement Calls for Withdrawn/Superseded Routines for further information.
f04aef Example Text Example Data	2	nagf_linsys_withdraw_real_square_solve_ref Solution of real simultaneous linear equations with multiple right-hand sides using iterative refinement (Black Box) Note: this routine is scheduled for withdrawal at Mark 28, see Advice on Replacement Calls for Withdrawn/Superseded Routines for further information.
f04amf Example Text Example Data	2	nagf_linsys_real_gen_lsqsol Least squares solution of $m$ real equations in $n$ unknowns, rank $= n$ , $m \geq n$ using iterative refinement (Black Box)
f04asf Example Text Example Data	4	nagf_linsys_withdraw_real_posdef_solve_1rhs Solution of real symmetric positive definite simultaneous linear equations, one right-hand side using iterative refinement (Black Box) Note: this routine is scheduled for withdrawal at Mark 28, see Advice on Replacement Calls for Withdrawn/Superseded Routines for further information.
f04atf Example Text Example Data	4	nagf_linsys_withdraw_real_square_solve_1rhs Solution of real simultaneous linear equations, one right-hand side using iterative refinement (Black Box) Note: this routine is scheduled for withdrawal at Mark 28, see Advice on Replacement Calls for Withdrawn/Superseded Routines for further information.
f04axf Example Text Example Data	7	nagf_linsys_real_sparse_fac_solve Solution of real sparse simultaneous linear equations (coefficient matrix already factorized)
f04baf Example Text Example Data	21	nagf_linsys_real_square_solve Computes the solution, estimated condition number and error-bound to a real system of linear equations
f04bbf Example Text Example Data	21	nagf_linsys_real_band_solve Computes the solution, estimated condition number and error-bound to a real banded system of linear equations
f04bcf Example Text Example Data	21	nagf_linsys_real_tridiag_solve Computes the solution, estimated condition number and error-bound to a real tridiagonal system of linear equations
f04bdf Example Text Example Data	21	nagf_linsys_real_posdef_solve Computes the solution, estimated condition number and error-bound to a real symmetric positive definite system of linear equations
f04bef Example Text Example Data	21	nagf_linsys_real_posdef_packed_solve Computes the solution, estimated condition number and error-bound to a real symmetric positive definite system of linear equations, packed storage
f04bff Example Text Example Data	21	nagf_linsys_real_posdef_band_solve Computes the solution, estimated condition number and error-bound to a real symmetric positive definite banded system of linear equations
f04bgf Example Text Example Data	21	nagf_linsys_real_posdef_tridiag_solve Computes the solution, estimated condition number and error-bound to a real symmetric positive definite tridiagonal system of linear equations
f04bhf Example Text Example Data	21	nagf_linsys_real_symm_solve Computes the solution, estimated condition number and error-bound to a real symmetric system of linear equations
f04bjf Example Text Example Data	21	nagf_linsys_real_symm_packed_solve Computes the solution, estimated condition number and error-bound to a real symmetric system of linear equations, packed storage
f04caf Example Text Example Data	21	nagf_linsys_complex_square_solve Computes the solution, estimated condition number and error-bound to a complex system of linear equations
f04cbf Example Text Example Data	21	nagf_linsys_complex_band_solve Computes the solution, estimated condition number and error-bound to a complex banded system of linear equations
f04ccf Example Text Example Data	21	nagf_linsys_complex_tridiag_solve Computes the solution, estimated condition number and error-bound to a complex tridiagonal system of linear equations
f04cdf Example Text Example Data	21	nagf_linsys_complex_posdef_solve Computes the solution, estimated condition number and error-bound to a complex Hermitian positive definite system of linear equations
f04cef Example Text Example Data	21	nagf_linsys_complex_posdef_packed_solve Computes the solution, estimated condition number and error-bound to a complex Hermitian positive definite system of linear equations, packed storage
f04cff Example Text Example Data	21	nagf_linsys_complex_posdef_band_solve Computes the solution, estimated condition number and error-bound to a complex Hermitian positive definite banded system of linear equations
f04cgf Example Text Example Data	21	nagf_linsys_complex_posdef_tridiag_solve Computes the solution, estimated condition number and error-bound to a complex Hermitian positive definite tridiagonal system of linear equations
f04chf Example Text Example Data	21	nagf_linsys_complex_herm_solve Computes the solution and error-bound to a complex Hermitian system of linear equations
f04cjf Example Text Example Data	21	nagf_linsys_complex_herm_packed_solve Computes the solution, estimated condition number and error-bound to a complex Hermitian system of linear equations, packed storage
f04dhf Example Text Example Data	21	nagf_linsys_complex_symm_solve Computes the solution, estimated condition number and error-bound to a complex symmetric system of linear equations
f04djf Example Text Example Data	21	nagf_linsys_complex_symm_packed_solve Computes the solution, estimated condition number and error-bound to a complex symmetric system of linear equations, packed storage
f04fef Example Text Example Data	15	nagf_linsys_real_toeplitz_yule Solution of the Yule–Walker equations for real symmetric positive definite Toeplitz matrix, one right-hand side
f04fff Example Text Example Data	15	nagf_linsys_real_toeplitz_solve Solution of real symmetric positive definite Toeplitz system, one right-hand side
f04jgf Example Text Example Data	8	nagf_linsys_real_gen_solve Least squares (if rank $= n$ ) or minimal least squares (if rank $< n$ ) solution of $m$ real equations in $n$ unknowns, $m \geq n$
f04lef Example Text Example Data	11	nagf_linsys_real_tridiag_fac_solve Solution of real tridiagonal simultaneous linear equations (coefficient matrix already factorized by f01lef)
f04lhf Example Text Example Data	13	nagf_linsys_real_blkdiag_fac_solve Solution of real almost block diagonal simultaneous linear equations (coefficient matrix already factorized by f01lhf)
f04mcf Example Text Example Data	8	nagf_linsys_real_posdef_vband_solve Solution of real symmetric positive definite variable-bandwidth simultaneous linear equations (coefficient matrix already factorized by f01mcf)
f04mef Example Text Example Data	15	nagf_linsys_real_toeplitz_yule_update Update solution of the Yule–Walker equations for real symmetric positive definite Toeplitz matrix
f04mff Example Text Example Data	15	nagf_linsys_real_toeplitz_update Update solution of real symmetric positive definite Toeplitz system
f04qaf Example Text Example Data	11	nagf_linsys_real_gen_sparse_lsqsol Sparse linear least squares problem, $m$ real equations in $n$ unknowns
f04yaf Example Text Example Data	11	nagf_linsys_real_gen_lsq_covmat Covariance matrix for linear least squares problems, $m$ real equations in $n$ unknowns
f04ydf Example Text Example Data	24	nagf_linsys_real_gen_norm_rcomm Norm estimation (for use in condition estimation), real rectangular matrix
f04zdf Example Text Example Data	24	nagf_linsys_complex_gen_norm_rcomm Norm estimation (for use in condition estimation), complex rectangular matrix

NAG Library Chapter Contents

F04 (linsys)
Simultaneous Linear Equations

NAG Library Chapter Contents

F04 (linsys)Simultaneous Linear Equations

F04 (linsys)
Simultaneous Linear Equations