f11 Chapter Introduction – a description of the Chapter and an overview of the algorithms available
Function Name |
Mark of Introduction |
Purpose |
f11bdc
Example Text Example Data |
23 | nag_sparse_nsym_basic_setup Real sparse nonsymmetric linear systems, setup for nag_sparse_nsym_basic_solver (f11bec) |
f11bec | 23 | nag_sparse_nsym_basic_solver Real sparse nonsymmetric linear systems, preconditioned RGMRES, CGS, Bi-CGSTAB or TFQMR method |
f11bfc | 23 | nag_sparse_nsym_basic_diagnostic Real sparse nonsymmetric linear systems, diagnostic for nag_sparse_nsym_basic_solver (f11bec) |
f11brc
Example Text Example Data |
23 | nag_sparse_nherm_basic_setup Complex sparse non-Hermitian linear systems, setup for nag_sparse_nherm_basic_solver (f11bsc) |
f11bsc | 23 | nag_sparse_nherm_basic_solver Complex sparse non-Hermitian linear systems, preconditioned RGMRES, CGS, Bi-CGSTAB or TFQMR method |
f11btc | 23 | nag_sparse_nherm_basic_diagnostic Complex sparse non-Hermitian linear systems, diagnostic for nag_sparse_nherm_basic_solver (f11bsc) |
f11dac
Example Text Example Data |
5 | nag_sparse_nsym_fac Incomplete factorization (nonsymmetric) |
f11dbc
Example Text Example Data |
23 | nag_sparse_nsym_precon_ilu_solve Solution of linear system involving incomplete preconditioning matrix generated by nag_sparse_nsym_fac (f11dac) |
f11dcc
Example Text Example Data |
5 | nag_sparse_nsym_fac_sol Solver with incomplete preconditioning (nonsymmetric) |
f11ddc
Example Text Example Data |
23 | nag_sparse_nsym_precon_ssor_solve Solution of linear system involving preconditioning matrix generated by applying SSOR to real sparse nonsymmetric matrix |
f11dec
Example Text Example Data |
5 | nag_sparse_nsym_sol Solver with no Jacobi/SSOR preconditioning (nonsymmetric) |
f11dfc
Example Text Example Data |
24 | nag_sparse_nsym_precon_bdilu Real sparse nonsymmetric linear system, incomplete factorization of local or overlapping diagonal blocks |
f11dgc
Example Text Example Data |
24 | nag_sparse_nsym_precon_bdilu_solve Solution of real sparse nonsymmetric linear system, RGMRES, CGS, Bi-CGSTAB or TFQMR method, incomplete block diagonal preconditioner computed by nag_sparse_nsym_precon_bdilu (f11dfc) |
f11dkc
Example Text Example Data |
23 | nag_sparse_nsym_jacobi Real, sparse, symmetric or nonsymmetric, linear systems, line Jacobi preconditioner |
f11dnc
Example Text Example Data |
23 | nag_sparse_nherm_fac Complex sparse non-Hermitian linear systems, incomplete factorization |
f11dpc
Example Text Example Data |
23 | nag_sparse_nherm_precon_ilu_solve Solution of complex linear system involving incomplete preconditioning matrix generated by nag_sparse_nherm_fac (f11dnc) |
f11dqc
Example Text Example Data |
23 | nag_sparse_nherm_fac_sol Solution of complex sparse non-Hermitian linear system, RGMRES, CGS, Bi-CGSTAB or TFQMR method, preconditioner computed by nag_sparse_nherm_fac (f11dnc) (Black Box) |
f11drc
Example Text Example Data |
23 | nag_sparse_nherm_precon_ssor_solve Solution of linear system involving preconditioning matrix generated by applying SSOR to complex sparse non-Hermitian matrix |
f11dsc
Example Text Example Data |
23 | nag_sparse_nherm_sol Solution of complex sparse non-Hermitian linear system, RGMRES, CGS, Bi-CGSTAB or TFQMR method, Jacobi or SSOR preconditioner Black Box |
f11dtc
Example Text Example Data |
24 | nag_sparse_nherm_precon_bdilu Complex, sparse, non-Hermitian linear system, incomplete factorization of local or overlapping diagonal blocks |
f11duc
Example Text Example Data |
24 | nag_sparse_nherm_precon_bdilu_solve Solution of complex, sparse, non-Hermitian linear system, RGMRES, CGS, Bi-CGSTAB or TFQMR method, incomplete block diagonal preconditioner computed by nag_sparse_nherm_precon_bdilu (f11dtc) |
f11dxc
Example Text Example Data |
23 | nag_sparse_nherm_jacobi Complex, sparse, Hermitian or non-Hermitian, linear systems, line Jacobi preconditioner |
f11gdc
Example Text Example Data |
23 | nag_sparse_sym_basic_setup Real sparse symmetric linear systems, setup for nag_sparse_sym_basic_solver (f11gec) |
f11gec | 23 | nag_sparse_sym_basic_solver Real sparse symmetric linear systems, preconditioned conjugate gradient or Lanczos method or the MINRES algorithm |
f11gfc | 23 | nag_sparse_sym_basic_diagnostic Real sparse symmetric linear systems, diagnostic for nag_sparse_sym_basic_solver (f11gec) |
f11grc
Example Text Example Data |
23 | nag_sparse_herm_basic_setup Complex sparse Hermitian linear systems, setup for nag_sparse_herm_basic_solver (f11gsc) |
f11gsc | 23 | nag_sparse_herm_basic_solver Complex sparse Hermitian linear systems, preconditioned conjugate gradient or Lanczos |
f11gtc | 23 | nag_sparse_herm_basic_diagnostic Complex sparse Hermitian linear systems, diagnostic for nag_sparse_herm_basic_solver (f11gsc) |
f11jac
Example Text Example Data |
5 | nag_sparse_sym_chol_fac Incomplete Cholesky factorization (symmetric) |
f11jbc
Example Text Example Data |
23 | nag_sparse_sym_precon_ichol_solve Solution of linear system involving incomplete Cholesky preconditioning matrix generated by nag_sparse_sym_chol_fac (f11jac) |
f11jcc
Example Text Example Data |
5 | nag_sparse_sym_chol_sol Solver with incomplete Cholesky preconditioning (symmetric) |
f11jdc
Example Text Example Data |
23 | nag_sparse_sym_precon_ssor_solve Solution of linear system involving preconditioning matrix generated by applying SSOR to real sparse symmetric matrix |
f11jec
Example Text Example Data |
5 | nag_sparse_sym_sol Solver with Jacobi, SSOR, or no preconditioning (symmetric) |
f11jnc
Example Text Example Data |
23 | nag_sparse_herm_chol_fac Complex sparse Hermitian matrix, incomplete Cholesky factorization |
f11jpc
Example Text Example Data |
23 | nag_sparse_herm_precon_ichol_solve Solution of complex linear system involving incomplete Cholesky preconditioning matrix generated by nag_sparse_herm_chol_fac (f11jnc) |
f11jqc
Example Text Example Data |
23 | nag_sparse_herm_chol_sol Solution of complex sparse Hermitian linear system, conjugate gradient/Lanczos method, preconditioner computed by nag_sparse_herm_chol_fac (f11jnc) (Black Box) |
f11jrc
Example Text Example Data |
23 | nag_sparse_herm_precon_ssor_solve Solution of linear system involving preconditioning matrix generated by applying SSOR to complex sparse Hermitian matrix |
f11jsc
Example Text Example Data |
23 | nag_sparse_herm_sol Solution of complex sparse Hermitian linear system, conjugate gradient/Lanczos method, Jacobi or SSOR preconditioner (Black Box) |
f11mdc
Example Text Example Data |
8 | nag_superlu_column_permutation Real sparse nonsymmetric linear systems, setup for nag_superlu_lu_factorize (f11mec) |
f11mec
Example Text Example Data |
8 | nag_superlu_lu_factorize factorization of real sparse matrix |
f11mfc
Example Text Example Data |
8 | nag_superlu_solve_lu Solution of real sparse simultaneous linear equations (coefficient matrix already factorized) |
f11mgc
Example Text Example Data |
8 | nag_superlu_condition_number_lu Estimate condition number of real matrix, matrix already factorized by nag_superlu_lu_factorize (f11mec) |
f11mhc
Example Text Example Data |
8 | nag_superlu_refine_lu Refined solution with error bounds of real system of linear equations, multiple right-hand sides |
f11mkc
Example Text Example Data |
8 | nag_superlu_matrix_product Real sparse nonsymmetric matrix-matrix multiply, compressed column storage |
f11mlc
Example Text Example Data |
8 | nag_superlu_matrix_norm -norm, -norm, largest absolute element, real, square, sparse matrix |
f11mmc
Example Text Example Data |
8 | nag_superlu_diagnostic_lu Real sparse nonsymmetric linear systems, diagnostic for nag_superlu_lu_factorize (f11mec) |
f11xac
Example Text Example Data |
23 | nag_sparse_nsym_matvec Real, sparse, nonsymmetric matrix-vector multiply |
f11xec
Example Text Example Data |
23 | nag_sparse_sym_matvec Real sparse symmetric matrix-vector multiply |
f11xnc
Example Text Example Data |
23 | nag_sparse_nherm_matvec Complex sparse non-Hermitian matrix-vector multiply |
f11xsc
Example Text Example Data |
23 | nag_sparse_herm_matvec Complex sparse Hermitian matrix-vector multiply |
f11yec
Example Text Example Data Example Plot |
25 | nag_sparse_sym_rcm Reverse Cuthill–McKee reordering of a sparse symmetric matrix in CCS format |
f11zac
Example Text Example Data |
5 | nag_sparse_nsym_sort Sparse sort (nonsymmetric) |
f11zbc
Example Text Example Data |
5 | nag_sparse_sym_sort Sparse sort (symmetric) |
f11znc
Example Text Example Data |
23 | nag_sparse_nherm_sort Complex sparse non-Hermitian matrix reorder function |
f11zpc
Example Text Example Data |
23 | nag_sparse_herm_sort Complex sparse Hermitian matrix reorder function |