F11 Chapter Contents : NAG Library Manual, Mark 27

Routine	Mark of Introduction	Purpose
f11bdf Example Text Example Data	19	nagf_sparse_real_gen_basic_setup Real sparse nonsymmetric linear systems, setup for f11bef
f11bef	19	nagf_sparse_real_gen_basic_solver Real sparse nonsymmetric linear systems, preconditioned RGMRES, CGS, Bi-CGSTAB or TFQMR method
f11bff	19	nagf_sparse_real_gen_basic_diag Real sparse nonsymmetric linear systems, diagnostic for f11bef
f11brf Example Text Example Data	19	nagf_sparse_complex_gen_basic_setup Complex sparse non-Hermitian linear systems, setup for f11bsf
f11bsf	19	nagf_sparse_complex_gen_basic_solver Complex sparse non-Hermitian linear systems, preconditioned RGMRES, CGS, Bi-CGSTAB or TFQMR method
f11btf	19	nagf_sparse_complex_gen_basic_diag Complex sparse non-Hermitian linear systems, diagnostic for f11bsf
f11daf Example Text Example Data	18	nagf_sparse_real_gen_precon_ilu Real sparse nonsymmetric linear systems, incomplete $L U$ factorization
f11dbf Example Text Example Data	18	nagf_sparse_real_gen_precon_ilu_solve Solution of linear system involving incomplete $L U$ preconditioning matrix generated by f11daf
f11dcf Example Text Example Data	18	nagf_sparse_real_gen_solve_ilu Solution of real sparse nonsymmetric linear system, RGMRES, CGS, Bi-CGSTAB or TFQMR method, preconditioner computed by f11daf
f11ddf Example Text Example Data	18	nagf_sparse_real_gen_precon_ssor_solve Solution of linear system involving preconditioning matrix generated by applying SSOR to real sparse nonsymmetric matrix
f11def Example Text Example Data	18	nagf_sparse_real_gen_solve_jacssor Solution of real sparse nonsymmetric linear system, RGMRES, CGS, Bi-CGSTAB, or TFQMR method, Jacobi or SSOR preconditioner (Black Box)
f11dff Example Text Example Data	24	nagf_sparse_real_gen_precon_bdilu Real sparse nonsymmetric linear system, incomplete $L U$ factorization of local or overlapping diagonal blocks
f11dgf Example Text Example Data	24	nagf_sparse_real_gen_solve_bdilu Solution of real sparse nonsymmetric linear system, RGMRES, CGS, Bi-CGSTAB or TFQMR method, incomplete $L U$ block diagonal preconditioner computed by f11dff
f11dkf Example Text Example Data	20	nagf_sparse_real_gen_precon_jacobi Real, sparse, symmetric or nonsymmetric, linear systems, line Jacobi preconditioner
f11dnf Example Text Example Data	19	nagf_sparse_complex_gen_precon_ilu Complex sparse non-Hermitian linear systems, incomplete $L U$ factorization
f11dpf Example Text Example Data	19	nagf_sparse_complex_gen_precon_ilu_solve Solution of complex linear system involving incomplete $L U$ preconditioning matrix generated by f11dnf
f11dqf Example Text Example Data	19	nagf_sparse_complex_gen_solve_ilu Solution of complex sparse non-Hermitian linear system, RGMRES, CGS, Bi-CGSTAB or TFQMR method, preconditioner computed by f11dnf (Black Box)
f11drf Example Text Example Data	19	nagf_sparse_complex_gen_precon_ssor_solve Solution of linear system involving preconditioning matrix generated by applying SSOR to complex sparse non-Hermitian matrix
f11dsf Example Text Example Data	19	nagf_sparse_complex_gen_solve_jacssor Solution of complex sparse non-Hermitian linear system, RGMRES, CGS, Bi-CGSTAB or TFQMR method, Jacobi or SSOR preconditioner Black Box
f11dtf Example Text Example Data	24	nagf_sparse_complex_gen_precon_bdilu Complex, sparse, non-Hermitian linear system, incomplete $L U$ factorization of local or overlapping diagonal blocks
f11duf Example Text Example Data	24	nagf_sparse_complex_gen_solve_bdilu Solution of complex, sparse, non-Hermitian linear system, RGMRES, CGS, Bi-CGSTAB or TFQMR method, incomplete $L U$ block diagonal preconditioner computed by f11dtf
f11dxf Example Text Example Data	20	nagf_sparse_complex_gen_precon_jacobi Complex, sparse, Hermitian or non-Hermitian, linear systems, line Jacobi preconditioner
f11gdf Example Text Example Data	20	nagf_sparse_real_symm_basic_setup Real sparse symmetric linear systems, setup for f11gef
f11gef	20	nagf_sparse_real_symm_basic_solver Real sparse symmetric linear systems, preconditioned conjugate gradient or Lanczos method or the MINRES algorithm
f11gff	20	nagf_sparse_real_symm_basic_diag Real sparse symmetric linear systems, diagnostic for f11gef
f11grf Example Text Example Data	20	nagf_sparse_complex_herm_basic_setup Complex sparse Hermitian linear systems, setup for f11gsf
f11gsf	20	nagf_sparse_complex_herm_basic_solver Complex sparse Hermitian linear systems, preconditioned conjugate gradient or Lanczos
f11gtf	20	nagf_sparse_complex_herm_basic_diag Complex sparse Hermitian linear systems, diagnostic for f11gsf
f11jaf Example Text Example Data	17	nagf_sparse_real_symm_precon_ichol Real sparse symmetric matrix, incomplete Cholesky factorization
f11jbf Example Text Example Data	17	nagf_sparse_real_symm_precon_ichol_solve Solution of linear system involving incomplete Cholesky preconditioning matrix generated by f11jaf
f11jcf Example Text Example Data	17	nagf_sparse_real_symm_solve_ichol Solution of real sparse symmetric linear system, conjugate gradient/Lanczos method, preconditioner computed by f11jaf (Black Box)
f11jdf Example Text Example Data	17	nagf_sparse_real_symm_precon_ssor_solve Solution of linear system involving preconditioning matrix generated by applying SSOR to real sparse symmetric matrix
f11jef Example Text Example Data	17	nagf_sparse_real_symm_solve_jacssor Solution of real sparse symmetric linear system, conjugate gradient/Lanczos method, Jacobi or SSOR preconditioner (Black Box)
f11jnf Example Text Example Data	19	nagf_sparse_complex_herm_precon_ichol Complex sparse Hermitian matrix, incomplete Cholesky factorization
f11jpf Example Text Example Data	19	nagf_sparse_complex_herm_precon_ilu_solve Solution of complex linear system involving incomplete Cholesky preconditioning matrix generated by f11jnf
f11jqf Example Text Example Data	19	nagf_sparse_complex_herm_solve_ilu Solution of complex sparse Hermitian linear system, conjugate gradient/Lanczos method, preconditioner computed by f11jnf (Black Box)
f11jrf Example Text Example Data	19	nagf_sparse_complex_herm_precon_ssor_solve Solution of linear system involving preconditioning matrix generated by applying SSOR to complex sparse Hermitian matrix
f11jsf Example Text Example Data	19	nagf_sparse_complex_herm_solve_jacssor Solution of complex sparse Hermitian linear system, conjugate gradient/Lanczos method, Jacobi or SSOR preconditioner (Black Box)
f11mdf Example Text Example Data	21	nagf_sparse_direct_real_gen_setup Real sparse nonsymmetric linear systems, setup for f11mef
f11mef Example Text Example Data	21	nagf_sparse_direct_real_gen_lu $L U$ factorization of real sparse matrix
f11mff Example Text Example Data	21	nagf_sparse_direct_real_gen_solve Solution of real sparse simultaneous linear equations (coefficient matrix already factorized)
f11mgf Example Text Example Data	21	nagf_sparse_direct_real_gen_cond Estimate condition number of real matrix, matrix already factorized by f11mef
f11mhf Example Text Example Data	21	nagf_sparse_direct_real_gen_refine Refined solution with error bounds of real system of linear equations, multiple right-hand sides
f11mkf Example Text Example Data	21	nagf_sparse_direct_real_gen_matmul Real sparse nonsymmetric matrix-matrix multiply, compressed column storage
f11mlf Example Text Example Data	21	nagf_sparse_direct_real_gen_norm $1$ -norm, $\infty$ -norm, largest absolute element, real, square, sparse matrix
f11mmf Example Text Example Data	21	nagf_sparse_direct_real_gen_diag Real sparse nonsymmetric linear systems, diagnostic for f11mef
f11xaf Example Text Example Data	18	nagf_sparse_real_gen_matvec Real, sparse, nonsymmetric matrix-vector multiply
f11xef Example Text Example Data	17	nagf_sparse_real_symm_matvec Real sparse symmetric matrix-vector multiply
f11xnf Example Text Example Data	19	nagf_sparse_complex_gen_matvec Complex sparse non-Hermitian matrix-vector multiply
f11xsf Example Text Example Data	19	nagf_sparse_complex_herm_matvec Complex sparse Hermitian matrix-vector multiply
f11yef Example Text Example Data Example Plot	25	nagf_sparse_sym_rcm Reverse Cuthill–McKee reordering of a sparse symmetric matrix in CCS format
f11zaf Example Text Example Data	18	nagf_sparse_real_gen_sort Real sparse nonsymmetric matrix reorder routine
f11zbf Example Text Example Data	17	nagf_sparse_real_symm_sort Real sparse symmetric matrix reorder routine
f11zcf Example Text Example Data	27	nagf_sparse_real_rect_sort Sorts and merges elements of a real sparse rectangular matrix, represented in coordinate storage format, and provides the compressed column storage format of the result
f11znf Example Text Example Data	19	nagf_sparse_complex_gen_sort Complex sparse non-Hermitian matrix reorder routine
f11zpf Example Text Example Data	19	nagf_sparse_complex_herm_sort Complex sparse Hermitian matrix reorder routine

NAG FL InterfaceF11 (Sparse)Large Scale Linear Systems

NAG FL Interface
F11 (Sparse)
Large Scale Linear Systems