F04 Chapter Contents : NAG Library Manual, Mark 27

Routine	Mark of Introduction	Purpose
f04abf Example Text Example Data	2 (Deprecated)	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)
f04aef Example Text Example Data	2 (Deprecated)	nagf_linsys_withdraw_real_square_solve_ref Solution of real simultaneous linear equations with multiple right-hand sides using iterative refinement (Black Box)
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 (Deprecated)	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)
f04atf Example Text Example Data	4 (Deprecated)	nagf_linsys_withdraw_real_square_solve_1rhs Solution of real simultaneous linear equations, one right-hand side using iterative refinement (Black Box)
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 FL InterfaceF04 (Linsys)Simultaneous Linear Equations

NAG FL Interface
F04 (Linsys)
Simultaneous Linear Equations