F11 (sparse) Chapter Introduction – a description of the Chapter and an overview of the algorithms available
| 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 factorization |
| f11dbf
Example Text Example Data |
18 | nagf_sparse_real_gen_precon_ilu_solve Solution of linear system involving incomplete 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 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 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 factorization |
| f11dpf
Example Text Example Data |
19 | nagf_sparse_complex_gen_precon_ilu_solve Solution of complex linear system involving incomplete 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 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 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 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 -norm, -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 |