NAG FL Interface
F11 (Sparse)
Large Scale Linear Systems

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F11 (Sparse) Chapter Introduction – A description of the Chapter and an overview of the algorithms available.

Routine
Mark of
Introduction

Purpose
f11bdf 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 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 18 nagf_sparse_real_gen_precon_ilu
Real sparse nonsymmetric linear systems, incomplete LU factorization
f11dbf 18 nagf_sparse_real_gen_precon_ilu_solve
Solution of linear system involving incomplete LU preconditioning matrix generated by f11daf
f11dcf 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 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 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 24 nagf_sparse_real_gen_precon_bdilu
Real sparse nonsymmetric linear system, incomplete LU factorization of local or overlapping diagonal blocks
f11dgf 24 nagf_sparse_real_gen_solve_bdilu
Solution of real sparse nonsymmetric linear system, RGMRES, CGS, Bi-CGSTAB or TFQMR method, incomplete LU block diagonal preconditioner computed by f11dff
f11dkf 20 nagf_sparse_real_gen_precon_jacobi
Real, sparse, symmetric or nonsymmetric, linear systems, line Jacobi preconditioner
f11dnf 19 nagf_sparse_complex_gen_precon_ilu
Complex sparse non-Hermitian linear systems, incomplete LU factorization
f11dpf 19 nagf_sparse_complex_gen_precon_ilu_solve
Solution of complex linear system involving incomplete LU preconditioning matrix generated by f11dnf
f11dqf 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 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 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 24 nagf_sparse_complex_gen_precon_bdilu
Complex, sparse, non-Hermitian linear system, incomplete LU factorization of local or overlapping diagonal blocks
f11duf 24 nagf_sparse_complex_gen_solve_bdilu
Solution of complex, sparse, non-Hermitian linear system, RGMRES, CGS, Bi-CGSTAB or TFQMR method, incomplete LU block diagonal preconditioner computed by f11dtf
f11dxf 20 nagf_sparse_complex_gen_precon_jacobi
Complex, sparse, Hermitian or non-Hermitian, linear systems, line Jacobi preconditioner
f11gdf 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 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 17 nagf_sparse_real_symm_precon_ichol
Real sparse symmetric matrix, incomplete Cholesky factorization
f11jbf 17 nagf_sparse_real_symm_precon_ichol_solve
Solution of linear system involving incomplete Cholesky preconditioning matrix generated by f11jaf
f11jcf 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 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 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 19 nagf_sparse_complex_herm_precon_ichol
Complex sparse Hermitian matrix, incomplete Cholesky factorization
f11jpf 19 nagf_sparse_complex_herm_precon_ilu_solve
Solution of complex linear system involving incomplete Cholesky preconditioning matrix generated by f11jnf
f11jqf 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 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 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 21 nagf_sparse_direct_real_gen_setup
Real sparse nonsymmetric linear systems, setup for f11mef
f11mef 21 nagf_sparse_direct_real_gen_lu
LU factorization of real sparse matrix
f11mff 21 nagf_sparse_direct_real_gen_solve
Solution of real sparse simultaneous linear equations (coefficient matrix already factorized)
f11mgf 21 nagf_sparse_direct_real_gen_cond
Estimate condition number of real matrix, matrix already factorized by f11mef
f11mhf 21 nagf_sparse_direct_real_gen_refine
Refined solution with error bounds of real system of linear equations, multiple right-hand sides
f11mkf 21 nagf_sparse_direct_real_gen_matmul
Real sparse nonsymmetric matrix-matrix multiply, compressed column storage
f11mlf 21 nagf_sparse_direct_real_gen_norm
1-norm, -norm, largest absolute element, real, square, sparse matrix
f11mmf 21 nagf_sparse_direct_real_gen_diag
Real sparse nonsymmetric linear systems, diagnostic for f11mef
f11xaf 18 nagf_sparse_real_gen_matvec
Real, sparse, nonsymmetric matrix-vector multiply
f11xef 17 nagf_sparse_real_symm_matvec
Real sparse symmetric matrix-vector multiply
f11xnf 19 nagf_sparse_complex_gen_matvec
Complex sparse non-Hermitian matrix-vector multiply
f11xsf 19 nagf_sparse_complex_herm_matvec
Complex sparse Hermitian matrix-vector multiply
f11yef 25 nagf_sparse_sym_rcm
Reverse Cuthill–McKee reordering of a sparse symmetric matrix in CCS format
f11zaf 18 nagf_sparse_real_gen_sort
Real sparse nonsymmetric matrix reorder routine
f11zbf 17 nagf_sparse_real_symm_sort
Real sparse symmetric matrix reorder routine
f11zcf 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 19 nagf_sparse_complex_gen_sort
Complex sparse non-Hermitian matrix reorder routine
f11zpf 19 nagf_sparse_complex_herm_sort
Complex sparse Hermitian matrix reorder routine