F11 Chapter Contents : NAG Library Manual, Mark 26

Routine Name	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_ilu 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
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 Library Chapter Contents

F11 (sparse)
Large Scale Linear Systems

NAG Library Chapter Contents

F11 (sparse)Large Scale Linear Systems

F11 (sparse)
Large Scale Linear Systems