F04 Chapter Contents : NAG Library Manual, Mark 25

Routine Name	Mark of Introduction	Purpose
F04ABF Example Text Example Data	2	nagf_linsys_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	nagf_linsys_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	nagf_linsys_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	nagf_linsys_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
F04YCF Example Text Example Data	13	nagf_linsys_withdraw_real_norm_rcomm Norm estimation (for use in condition estimation), real matrix Note: this routine is scheduled for withdrawal at Mark 26, see Advice on Replacement Calls for Withdrawn/Superseded Routines for further information.
F04YDF Example Text Example Data	24	nagf_linsys_real_gen_norm_rcomm Norm estimation (for use in condition estimation), real rectangular matrix
F04ZCF Example Text Example Data	13	nagf_linsys_withdraw_complex_norm_rcomm Norm estimation (for use in condition estimation), complex matrix Note: this routine is scheduled for withdrawal at Mark 26, see Advice on Replacement Calls for Withdrawn/Superseded Routines for further information.
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 – Simultaneous Linear Equations

F04 Chapter Introduction

NAG Library Chapter ContentsF04 – Simultaneous Linear Equations

F04 Chapter Introduction

NAG Library Chapter Contents

F04 – Simultaneous Linear Equations