| C05NBF | Solution of system of nonlinear equations using function values only (easy-to-use) |
| C05NCF | Solution of system of nonlinear equations using function values only (comprehensive) |
| C05NDF | Solution of system of nonlinear equations using function values only (reverse communication) |
| C05PBF | Solution of system of nonlinear equations using first derivatives (easy-to-use) |
| C05PCF | Solution of system of nonlinear equations using first derivatives (comprehensive) |
| C05PDF | Solution of system of nonlinear equations using first derivatives (reverse communication) |
| D02JBF | ODEs, boundary value problem, collocation and least-squares, system of first-order linear equations |
| D02KAF | Second-order Sturm–Liouville problem, regular system, finite range, eigenvalue only |
| D02KDF | Second-order Sturm–Liouville problem, regular/singular system, finite/infinite range, eigenvalue only, user-specified break-points |
| D02KEF | Second-order Sturm–Liouville problem, regular/singular system, finite/infinite range, eigenvalue and eigenfunction, user-specified break-points |
| D03PCF | General system of parabolic PDEs, method of lines, finite differences, one space variable |
| D03PDF | General system of parabolic PDEs, method of lines, Chebyshev C0 collocation, one space variable |
| D03PEF | General system of first-order PDEs, method of lines, Keller box discretisation, one space variable |
| D03PFF | General system of convection-diffusion PDEs with source terms in conservative form, method of lines, upwind scheme using numerical flux function based on Riemann solver, one space variable |
| D03PHF | General system of parabolic PDEs, coupled DAEs, method of lines, finite differences, one space variable |
| D03PJF | General system of parabolic PDEs, coupled DAEs, method of lines, Chebyshev C0 collocation, one space variable |
| D03PKF | General system of first-order PDEs, coupled DAEs, method of lines, Keller box discretisation, one space variable |
| D03PLF | General system of convection-diffusion PDEs with source terms in conservative form, coupled DAEs, method of lines, upwind scheme using numerical flux function based on Riemann solver, one space variable |
| D03PPF | General system of parabolic PDEs, coupled DAEs, method of lines, finite differences, remeshing, one space variable |
| D03PRF | General system of first-order PDEs, coupled DAEs, method of lines, Keller box discretisation, remeshing, one space variable |
| D03PSF | General system of convection-diffusion PDEs with source terms in conservative form, coupled DAEs, method of lines, upwind scheme using numerical flux function based on Riemann solver, remeshing, one space variable |
| D03RAF | General system of second-order PDEs, method of lines, finite differences, remeshing, two space variables, rectangular region |
| D03RBF | General system of second-order PDEs, method of lines, finite differences, remeshing, two space variables, rectilinear region |
| F04FFF | Solution of real symmetric positive-definite Toeplitz system, one right-hand side |
| F04MFF | Update solution of real symmetric positive-definite Toeplitz system |
| F06PJF | System of equations, real triangular matrix |
| F06PKF | System of equations, real triangular band matrix |
| F06PLF | System of equations, real triangular packed matrix |
| F06SJF | System of equations, complex triangular matrix |
| F06SKF | System of equations, complex triangular band matrix |
| F06SLF | System of equations, complex triangular packed matrix |
| F06YJF | Solves system of equations with multiple right-hand sides, real triangular coefficient matrix |
| F06ZJF | Solves system of equations with multiple right-hand sides, complex triangular coefficient matrix |
| F07AEF | Solution of real system of linear equations, multiple right-hand sides, matrix already factorized by F07ADF |
| F07AHF | Refined solution with error bounds of real system of linear equations, multiple right-hand sides |
| F07ASF | Solution of complex system of linear equations, multiple right-hand sides, matrix already factorized by F07ARF |
| F07AVF | Refined solution with error bounds of complex system of linear equations, multiple right-hand sides |
| F07BEF | Solution of real band system of linear equations, multiple right-hand sides, matrix already factorized by F07BDF |
| F07BHF | Refined solution with error bounds of real band system of linear equations, multiple right-hand sides |
| F07BSF | Solution of complex band system of linear equations, multiple right-hand sides, matrix already factorized by F07BRF |
| F07BVF | Refined solution with error bounds of complex band system of linear equations, multiple right-hand sides |
| F07FEF | Solution of real symmetric positive-definite system of linear equations, multiple right-hand sides, matrix already factorized by F07FDF |
| F07FHF | Refined solution with error bounds of real symmetric positive-definite system of linear equations, multiple right-hand sides |
| F07FSF | Solution of complex Hermitian positive-definite system of linear equations, multiple right-hand sides, matrix already factorized by F07FRF |
| F07FVF | Refined solution with error bounds of complex Hermitian positive-definite system of linear equations, multiple right-hand sides |
| F07GEF | Solution of real symmetric positive-definite system of linear equations, multiple right-hand sides, matrix already factorized by F07GDF, packed storage |
| F07GHF | Refined solution with error bounds of real symmetric positive-definite system of linear equations, multiple right-hand sides, packed storage |
| F07GSF | Solution of complex Hermitian positive-definite system of linear equations, multiple right-hand sides, matrix already factorized by F07GRF, packed storage |
| F07GVF | Refined solution with error bounds of complex Hermitian positive-definite system of linear equations, multiple right-hand sides, packed storage |
| F07HEF | Solution of real symmetric positive-definite band system of linear equations, multiple right-hand sides, matrix already factorized by F07HDF |
| F07HHF | Refined solution with error bounds of real symmetric positive-definite band system of linear equations, multiple right-hand sides |
| F07HSF | Solution of complex Hermitian positive-definite band system of linear equations, multiple right-hand sides, matrix already factorized by F07HRF |
| F07HVF | Refined solution with error bounds of complex Hermitian positive-definite band system of linear equations, multiple right-hand sides |
| F07MEF | Solution of real symmetric indefinite system of linear equations, multiple right-hand sides, matrix already factorized by F07MDF |
| F07MHF | Refined solution with error bounds of real symmetric indefinite system of linear equations, multiple right-hand sides |
| F07MSF | Solution of complex Hermitian indefinite system of linear equations, multiple right-hand sides, matrix already factorized by F07MRF |
| F07MVF | Refined solution with error bounds of complex Hermitian indefinite system of linear equations, multiple right-hand sides |
| F07NSF | Solution of complex symmetric system of linear equations, multiple right-hand sides, matrix already factorized by F07NRF |
| F07NVF | Refined solution with error bounds of complex symmetric system of linear equations, multiple right-hand sides |
| F07PEF | Solution of real symmetric indefinite system of linear equations, multiple right-hand sides, matrix already factorized by F07PDF, packed storage |
| F07PHF | Refined solution with error bounds of real symmetric indefinite system of linear equations, multiple right-hand sides, packed storage |
| F07PSF | Solution of complex Hermitian indefinite system of linear equations, multiple right-hand sides, matrix already factorized by F07PRF, packed storage |
| F07PVF | Refined solution with error bounds of complex Hermitian indefinite system of linear equations, multiple right-hand sides, packed storage |
| F07QSF | Solution of complex symmetric system of linear equations, multiple right-hand sides, matrix already factorized by F07QRF, packed storage |
| F07QVF | Refined solution with error bounds of complex symmetric system of linear equations, multiple right-hand sides, packed storage |
| F07TEF | Solution of real triangular system of linear equations, multiple right-hand sides |
| F07THF | Error bounds for solution of real triangular system of linear equations, multiple right-hand sides |
| F07TSF | Solution of complex triangular system of linear equations, multiple right-hand sides |
| F07TVF | Error bounds for solution of complex triangular system of linear equations, multiple right-hand sides |
| F07UEF | Solution of real triangular system of linear equations, multiple right-hand sides, packed storage |
| F07UHF | Error bounds for solution of real triangular system of linear equations, multiple right-hand sides, packed storage |
| F07USF | Solution of complex triangular system of linear equations, multiple right-hand sides, packed storage |
| F07UVF | Error bounds for solution of complex triangular system of linear equations, multiple right-hand sides, packed storage |
| F07VEF | Solution of real band triangular system of linear equations, multiple right-hand sides |
| F07VHF | Error bounds for solution of real band triangular system of linear equations, multiple right-hand sides |
| F07VSF | Solution of complex band triangular system of linear equations, multiple right-hand sides |
| F07VVF | Error bounds for solution of complex band triangular system of linear equations, multiple right-hand sides |
| F11DBF | Solution of linear system involving incomplete LU preconditioning matrix generated by F11DAF |
| F11DCF | Solution of real sparse nonsymmetric linear system, RGMRES, CGS, Bi-CGSTAB or TFQMR method, preconditioner computed by F11DAF |
| F11DDF | Solution of linear system involving preconditioning matrix generated by applying SSOR to real sparse nonsymmetric matrix |
| F11DEF | Solution of real sparse nonsymmetric linear system, RGMRES, CGS, Bi-CGSTAB, or TFQMR method, Jacobi or SSOR preconditioner (Black Box) |
| F11DPF | Solution of complex linear system involving incomplete LU preconditioning matrix generated by F11DNF |
| F11DQF | Solution of complex sparse non-Hermitian linear system, RGMRES, CGS, Bi-CGSTAB or TFQMR method, preconditioner computed by F11DNF (Black Box) |
| F11DRF | Solution of linear system involving preconditioning matrix generated by applying SSOR to complex sparse non-Hermitian matrix |
| F11DSF | Solution of complex sparse non-Hermitian linear system, RGMRES, CGS, Bi-CGSTAB or TFQMR method, Jacobi or SSOR preconditioner Black Box |
| F11JBF | Solution of linear system involving incomplete Cholesky preconditioning matrix generated by F11JAF |
| F11JCF | Solution of real sparse symmetric linear system, conjugate gradient/Lanczos method, preconditioner computed by F11JAF (Black Box) |
| F11JDF | Solution of linear system involving preconditioning matrix generated by applying SSOR to real sparse symmetric matrix |
| F11JEF | Solution of real sparse symmetric linear system, conjugate gradient/Lanczos method, Jacobi or SSOR preconditioner (Black Box) |
| F11JPF | Solution of complex linear system involving incomplete Cholesky preconditioning matrix generated by F11JNF |
| F11JQF | Solution of complex sparse Hermitian linear system, conjugate gradient/Lanczos method, preconditioner computed by F11JNF (Black Box) |
| F11JRF | Solution of linear system involving preconditioning matrix generated by applying SSOR to complex sparse Hermitian matrix |
| F11JSF | Solution of complex sparse Hermitian linear system, conjugate gradient/Lanczos method, Jacobi or SSOR preconditioner (Black Box) |