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Mark 8 Library Contents – NAG C Library

a00 – Library Identification

Routine Name	Mark of Introduction	Purpose
a00aac	1	nag_implementation_details Library identification, details of implementation and mark
a00acc	8	nag_check_licensing Check availability of a valid licence key

a02 – Complex Arithmetic

Routine Name	Mark of Introduction	Purpose
a02bac	2	nag_complex Complex number from real and imaginary parts
a02bbc	2	nag_complex_real Real part of a complex number
a02bcc	2	nag_complex_imag Imaginary part of a complex number
a02cac	2	nag_complex_add Addition of two complex numbers
a02cbc	2	nag_complex_subtract Subtraction of two complex numbers
a02ccc	2	nag_complex_multiply Multiplication of two complex numbers
a02cdc	2	nag_complex_divide Quotient of two complex numbers
a02cec	2	nag_complex_negate Negation of a complex number
a02cfc	2	nag_complex_conjg Conjugate of a complex number
a02cgc	2	nag_complex_equal Equality of two complex numbers
a02chc	2	nag_complex_not_equal Inequality of two complex numbers
a02dac	2	nag_complex_arg Argument of a complex number
a02dbc	2	nag_complex_abs Modulus of a complex number
a02dcc	2	nag_complex_sqrt Square root of a complex number
a02ddc	2	nag_complex_i_power Complex number raised to integer power
a02dec	2	nag_complex_r_power Complex number raised to real power
a02dfc	2	nag_complex_c_power Complex number raised to complex power
a02dgc	2	nag_complex_log Complex logarithm
a02dhc	2	nag_complex_exp Complex exponential
a02djc	2	nag_complex_sin Complex sine
a02dkc	2	nag_complex_cos Complex cosine
a02dlc	2	nag_complex_tan Complex tangent

c02 – Zeros of Polynomials

Routine Name	Mark of Introduction	Purpose
c02afc	2	nag_zeros_complex_poly Zeros of a polynomial with complex coefficients
c02agc	2	nag_zeros_real_poly Zeros of a polynomial with real coefficients
c02akc	6	nag_cubic_roots Zeros of a cubic polynomial with real coefficients
c02alc	6	nag_quartic_roots Zeros of a real quartic polynomial with real coefficients

c05 – Roots of One or More Transcendental Equations

Routine Name	Mark of Introduction	Purpose
c05adc	2	nag_zero_cont_func_bd Zero of a continuous function of one variable
c05nbc	2	nag_zero_nonlin_eqns Solution of a system of nonlinear equations (function values only)
c05pbc	2	nag_zero_nonlin_eqns_deriv Solution of a system of nonlinear equations (using first derivatives)
c05sdc	5	nag_zero_cont_func_bd_1 Zero of a continuous function of one variable, thread-safe
c05tbc	5	nag_zero_nonlin_eqns_1 Solution of a system of nonlinear equations (function values only), thread-safe
c05ubc	5	nag_zero_nonlin_eqns_deriv_1 Solution of a system of nonlinear equations (using first derivatives), thread-safe
c05zbc	2	nag_check_deriv Derivative checker for nag_zero_nonlin_eqns_deriv (c05pbc)
c05zcc	5	nag_check_deriv_1 Derivative checker for nag_zero_nonlin_eqns_deriv_1 (c05ubc), thread-safe

c06 – Fourier Transforms

Routine Name	Mark of Introduction	Purpose
c06eac	1	nag_fft_real Single one-dimensional real discrete Fourier transform
c06ebc	1	nag_fft_hermitian Single one-dimensional Hermitian discrete Fourier transform
c06ecc	1	nag_fft_complex Single one-dimensional complex discrete Fourier transform
c06ekc	1	nag_convolution_real Circular convolution or correlation of two real vectors
c06fpc	1	nag_fft_multiple_real Multiple one-dimensional real discrete Fourier transforms
c06fqc	1	nag_fft_multiple_hermitian Multiple one-dimensional Hermitian discrete Fourier transforms
c06frc	1	nag_fft_multiple_complex Multiple one-dimensional complex discrete Fourier transforms
c06fuc	1	nag_fft_2d_complex Two-dimensional complex discrete Fourier transform
c06gbc	1	nag_conjugate_hermitian Complex conjugate of Hermitian sequence
c06gcc	1	nag_conjugate_complex Complex conjugate of complex sequence
c06gqc	1	nag_multiple_conjugate_hermitian Complex conjugate of multiple Hermitian sequences
c06gsc	1	nag_multiple_hermitian_to_complex Convert Hermitian sequences to general complex sequences
c06gzc	1	nag_fft_init_trig Initialization function for other c06 functions
c06hac	2	nag_fft_multiple_sine Discrete sine transform
c06hbc	2	nag_fft_multiple_cosine Discrete cosine transform
c06hcc	2	nag_fft_multiple_qtr_sine Discrete quarter-wave sine transform
c06hdc	2	nag_fft_multiple_qtr_cosine Discrete quarter-wave cosine transform
c06pfc	7	nag_fft_multid_single One-dimensional complex discrete Fourier transform of multi-dimensional data (using complex data type)
c06pjc	7	nag_fft_multid_full Multi-dimensional complex discrete Fourier transform of multi-dimensional data (using complex data type)
c06pxc	7	nag_fft_3d Three-dimensional complex discrete Fourier transform, complex data format

d01 – Quadrature

Routine Name	Mark of Introduction	Purpose
d01ajc	2	nag_1d_quad_gen One-dimensional adaptive quadrature, allowing for badly behaved integrands
d01akc	2	nag_1d_quad_osc One-dimensional adaptive quadrature, suitable for oscillating functions
d01alc	2	nag_1d_quad_brkpts One-dimensional adaptive quadrature, allowing for singularities at specified points
d01amc	2	nag_1d_quad_inf One-dimensional adaptive quadrature over infinite or semi-infinite interval
d01anc	2	nag_1d_quad_wt_trig One-dimensional adaptive quadrature, finite interval, sine or cosine weight functions
d01apc	2	nag_1d_quad_wt_alglog One-dimensional adaptive quadrature, weight function with end-point singularities of algebraic-logarithmic type
d01aqc	2	nag_1d_quad_wt_cauchy One-dimensional adaptive quadrature, weight function 1 / (x-c) , Cauchy principal value
d01asc	2	nag_1d_quad_inf_wt_trig One-dimensional adaptive quadrature, semi-infinite interval, sine or cosine weight function
d01bac	2	nag_1d_quad_gauss One-dimensional Gaussian quadrature rule evaluation
d01fcc	2	nag_multid_quad_adapt Multi-dimensional adaptive quadrature
d01gac	2	nag_1d_quad_vals One-dimensional integration of a function defined by data values only
d01gbc	2	nag_multid_quad_monte_carlo Multi-dimensional quadrature, using Monte Carlo method
d01sjc	5	nag_1d_quad_gen_1 One-dimensional adaptive quadrature, allowing for badly behaved integrands, thread-safe
d01skc	5	nag_1d_quad_osc_1 One-dimensional adaptive quadrature, suitable for oscillating functions, thread-safe
d01slc	5	nag_1d_quad_brkpts_1 One-dimensional adaptive quadrature, allowing for singularities at specified points, thread-safe
d01smc	5	nag_1d_quad_inf_1 One-dimensional adaptive quadrature over infinite or semi-infinite interval, thread-safe
d01snc	5	nag_1d_quad_wt_trig_1 One-dimensional adaptive quadrature, finite interval, sine or cosine weight functions, thread-safe
d01spc	5	nag_1d_quad_wt_alglog_1 One-dimensional adaptive quadrature, weight function with end-point singularities of algebraic-logarithmic type, thread-safe
d01sqc	5	nag_1d_quad_wt_cauchy_1 One-dimensional adaptive quadrature, weight function 1 / (x-c) , Cauchy principal value, thread-safe
d01ssc	5	nag_1d_quad_inf_wt_trig_1 One-dimensional adaptive quadrature, semi-infinite interval, sine or cosine weight function, thread-safe
d01tac	5	nag_1d_quad_gauss_1 One-dimensional Gaussian quadrature rule evaluation, thread-safe
d01wcc	5	nag_multid_quad_adapt_1 Multi-dimensional adaptive quadrature, thread-safe
d01xbc	5	nag_multid_quad_monte_carlo_1 Multi-dimensional quadrature, using Monte Carlo method, thread-safe

d02 – Ordinary Differential Equations

Routine Name	Mark of Introduction	Purpose
d02cjc	2	nag_ode_ivp_adams_gen Ordinary differential equation solver using a variable-order variable-step Adams method (Black Box)
d02ejc	3	nag_ode_ivp_bdf_gen Ordinary differential equations solver, stiff, initial value problems using the Backward Differentiation Formulae
d02gac	3	nag_ode_bvp_fd_nonlin_fixedbc Ordinary differential equations solver, for simple nonlinear two-point boundary value problems, using a finite difference technique with deferred correction
d02gbc	3	nag_ode_bvp_fd_lin_gen Ordinary differential equations solver, for general linear two-point boundary value problems, using a finite difference technique with deferred correction
d02pcc	3	nag_ode_ivp_rk_range Ordinary differential equations solver, initial value problems over a range using Runge–Kutta methods
d02pdc	3	nag_ode_ivp_rk_onestep Ordinary differential equations solver, initial value problems, one time step using Runge–Kutta methods
d02ppc	3	nag_ode_ivp_rk_free Freeing function for use with the Runge–Kutta suite (d02p functions)
d02pvc	3	nag_ode_ivp_rk_setup Setup function for use with nag_ode_ivp_rk_range (d02pcc) and/or nag_ode_ivp_rk_onestep (d02pdc)
d02pwc	3	nag_ode_ivp_rk_reset_tend A function to re-set the end point following a call to nag_ode_ivp_rk_onestep (d02pdc)
d02pxc	3	nag_ode_ivp_rk_interp Ordinary differential equations solver, computes the solution by interpolation anywhere on an integration step taken by nag_ode_ivp_rk_onestep (d02pdc)
d02pzc	3	nag_ode_ivp_rk_errass A function to provide global error assessment during an integration with either nag_ode_ivp_rk_range (d02pcc) or nag_ode_ivp_rk_onestep (d02pdc)
d02qfc	2	nag_ode_ivp_adams_roots Ordinary differential equation solver using Adams method (sophisticated use)
d02qwc	2	nag_ode_ivp_adams_setup Setup function for nag_ode_ivp_adams_roots (d02qfc)
d02qyc	2	nag_ode_ivp_adams_free Freeing function for use with nag_ode_ivp_adams_roots (d02qfc)
d02qzc	2	nag_ode_ivp_adams_interp Interpolation function for use with nag_ode_ivp_adams_roots (d02qfc)
d02rac	3	nag_ode_bvp_fd_nonlin_gen Ordinary differential equations solver, for general nonlinear two-point boundary value problems, using a finite difference technique with deferred correction

d03 – Partial Differential Equations

Routine Name	Mark of Introduction	Purpose
d03ncc	7	nag_pde_bs_1d Finite difference solution of the Black–Scholes equations
d03ndc	7	nag_pde_bs_1d_analytic Analytic solution of the Black–Scholes equations
d03nec	7	nag_pde_bs_1d_means Compute average values for nag_pde_bs_1d_analytic (d03ndc)
d03pcc	7	nag_pde_parab_1d_fd General system of parabolic PDEs, method of lines, finite differences, one space variable
d03pdc	7	nag_pde_parab_1d_coll General system of parabolic PDEs, method of lines, Chebyshev C⁰ collocation, one space variable
d03pec	7	nag_pde_parab_1d_keller General system of first-order PDEs, method of lines, Keller box discretisation, one space variable
d03pfc	7	nag_pde_parab_1d_cd 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
d03phc	7	nag_pde_parab_1d_fd_ode General system of parabolic PDEs, coupled DAEs, method of lines, finite differences, one space variable
d03pjc	7	nag_pde_parab_1d_coll_ode General system of parabolic PDEs, coupled DAEs, method of lines, Chebyshev C⁰ collocation, one space variable
d03pkc	7	nag_pde_parab_1d_keller_ode General system of first-order PDEs, coupled DAEs, method of lines, Keller box discretisation, one space variable
d03plc	7	nag_pde_parab_1d_cd_ode 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
d03ppc	7	nag_pde_parab_1d_fd_ode_remesh General system of parabolic PDEs, coupled DAEs, method of lines, finite differences, remeshing, one space variable
d03prc	7	nag_pde_parab_1d_keller_ode_remesh General system of first-order PDEs, coupled DAEs, method of lines, Keller box discretisation, remeshing, one space variable
d03psc	7	nag_pde_parab_1d_cd_ode_remesh 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
d03puc	7	nag_pde_parab_1d_euler_roe Roe's approximate Riemann solver for Euler equations in conservative form, for use with nag_pde_parab_1d_cd (d03pfc), nag_pde_parab_1d_cd_ode (d03plc) and nag_pde_parab_1d_cd_ode_remesh (d03psc)
d03pvc	7	nag_pde_parab_1d_euler_osher Osher's approximate Riemann solver for Euler equations in conservative form, for use with nag_pde_parab_1d_cd (d03pfc), nag_pde_parab_1d_cd_ode (d03plc) and nag_pde_parab_1d_cd_ode_remesh (d03psc)
d03pwc	7	nag_pde_parab_1d_euler_hll Modified HLL Riemann solver for Euler equations in conservative form, for use with nag_pde_parab_1d_cd (d03pfc), nag_pde_parab_1d_cd_ode (d03plc) and nag_pde_parab_1d_cd_ode_remesh (d03psc)
d03pxc	7	nag_pde_parab_1d_euler_exact Exact Riemann Solver for Euler equations in conservative form, for use with nag_pde_parab_1d_cd (d03pfc), nag_pde_parab_1d_cd_ode (d03plc) and nag_pde_parab_1d_cd_ode_remesh (d03psc)
d03pyc	7	nag_pde_interp_1d_coll PDEs, spatial interpolation with nag_pde_parab_1d_coll (d03pdc) or nag_pde_parab_1d_coll_ode (d03pjc)
d03pzc	7	nag_pde_interp_1d_fd PDEs, spatial interpolation with nag_pde_parab_1d_fd (d03pcc), nag_pde_parab_1d_keller (d03pec), nag_pde_parab_1d_cd (d03pfc), nag_pde_parab_1d_fd_ode (d03phc), nag_pde_parab_1d_keller_ode (d03pkc), nag_pde_parab_1d_cd_ode (d03plc), nag_pde_parab_1d_fd_ode_remesh (d03ppc), nag_pde_parab_1d_keller_ode_remesh (d03prc) or nag_pde_parab_1d_cd_ode_remesh (d03psc)

d06 – Mesh Generation

Routine Name	Mark of Introduction	Purpose
d06aac	7	nag_mesh2d_inc Generates a two-dimensional mesh using a simple incremental method
d06abc	7	nag_mesh2d_delaunay Generates a two-dimensional mesh using a Delaunay–Voronoi process
d06acc	7	nag_mesh2d_front Generates a two-dimensional mesh using an Advancing-front method
d06bac	7	nag_mesh2d_bound Generates a boundary mesh
d06cac	7	nag_mesh2d_smooth Uses a barycentering technique to smooth a given mesh
d06cbc	7	nag_mesh2d_sparse Generates a sparsity pattern of a Finite Element matrix associated with a given mesh
d06ccc	7	nag_mesh2d_renum Renumbers a given mesh using Gibbs method
d06dac	7	nag_mesh2d_trans Generates a mesh resulting from an affine transformation of a given mesh
d06dbc	7	nag_mesh2d_join Joins together two given adjacent (possibly overlapping) meshes

e01 – Interpolation

Routine Name	Mark of Introduction	Purpose
e01aec	7	nag_1d_cheb_interp Interpolating functions, polynomial interpolant, data may include derivative values, one variable
e01bac	2	nag_1d_spline_interpolant Interpolating function, cubic spline interpolant, one variable
e01bec	1	nag_monotonic_interpolant Interpolating function, monotonicity-preserving, piecewise cubic Hermite, one variable
e01bfc	1	nag_monotonic_evaluate Evaluation of interpolant computed by nag_monotonic_interpolant (e01bec), function only
e01bgc	2	nag_monotonic_deriv Evaluation of interpolant computed by nag_monotonic_interpolant (e01bec), function and first derivative
e01bhc	2	nag_monotonic_intg Evaluation of interpolant computed by nag_monotonic_interpolant (e01bec), definite integral
e01dac	2	nag_2d_spline_interpolant Interpolating function, bicubic spline interpolant, two variables
e01rac	7	nag_1d_ratnl_interp Interpolating functions, rational interpolant, one variable
e01rbc	7	nag_1d_ratnl_eval Interpolated values, evaluate rational interpolant computed by nag_1d_ratnl_interp (e01rac), one variable
e01sgc	8	nag_2d_shep_interp Interpolating functions, modified Shepard's method, two variables
e01shc	8	nag_2d_shep_eval Interpolated values, evaluate interpolant computed by nag_2d_shep_interp (e01sgc), function and first derivatives, two variables
e01sjc	8	nag_2d_triang_interp A function to generate a two-dimensional surface interpolating a set of data points, using either the method of Renka and Cline or the modified Shepard's method
e01skc	8	nag_2d_triang_eval A function to evaluate, at a set of points, the two-dimensional interpolant function generated by nag_2d_shep_interp (e01sgc) or nag_2d_triang_interp (e01sjc)
e01tgc	7	nag_3d_shep_interp Interpolating functions, modified Shepard's method, three variables
e01thc	7	nag_3d_shep_eval Interpolated values, evaluate interpolant computed by nag_3d_shep_interp (e01tgc), function and first derivatives, three variables

e02 – Curve and Surface Fitting

Routine Name	Mark of Introduction	Purpose
e02adc	5	nag_1d_cheb_fit Computes the coefficients of a Chebyshev series polynomial for arbitrary data
e02aec	5	nag_1d_cheb_eval Evaluates the coefficients of a Chebyshev series polynomial
e02afc	5	nag_1d_cheb_interp_fit Computes the coefficients of a Chebyshev series polynomial for interpolated data
e02agc	7	nag_1d_cheb_fit_constr Least-squares polynomial fit, values and derivatives may be constrained, arbitrary data points
e02ahc	7	nag_1d_cheb_deriv Derivative of fitted polynomial in Chebyshev series form
e02ajc	7	nag_1d_cheb_intg Integral of fitted polynomial in Chebyshev series form
e02akc	7	nag_1d_cheb_eval2 Evaluation of fitted polynomial in one variable from Chebyshev series form
e02bac	2	nag_1d_spline_fit_knots Least-squares curve cubic spline fit (including interpolation), one variable
e02bbc	2	nag_1d_spline_evaluate Evaluation of fitted cubic spline, function only
e02bcc	2	nag_1d_spline_deriv Evaluation of fitted cubic spline, function and derivatives
e02bdc	2	nag_1d_spline_intg Evaluation of fitted cubic spline, definite integral
e02bec	2	nag_1d_spline_fit Least-squares cubic spline curve fit, automatic knot placement, one variable
e02cac	7	nag_2d_cheb_fit_lines Least-squares surface fit by polynomials, data on lines
e02cbc	7	nag_2d_cheb_eval Evaluation of fitted polynomial in two variables
e02dac	8	nag_2d_spline_fit_panel Least-squares surface fit, bicubic splines
e02dcc	2	nag_2d_spline_fit_grid Least-squares bicubic spline fit with automatic knot placement, two variables (rectangular grid)
e02ddc	2	nag_2d_spline_fit_scat Least-squares bicubic spline fit with automatic knot placement, two variables (scattered data)
e02dec	2	nag_2d_spline_eval Evaluation of bicubic spline, at a set of points
e02dfc	2	nag_2d_spline_eval_rect Evaluation of bicubic spline, at a mesh of points
e02gac	7	nag_lone_fit L₁ -approximation by general linear function
e02gcc	7	nag_linf_fit L_∞ -approximation by general linear function
e02rac	7	nag_1d_pade Padé-approximants
e02rbc	7	nag_1d_pade_eval Evaluation of fitted rational function as computed by nag_1d_pade (e02rac)
e02zac	8	nag_2d_panel_sort Sort two-dimensional data into panels for fitting bicubic splines

e04 – Minimizing or Maximizing a Function

Routine Name	Mark of Introduction	Purpose
e04abc	5	nag_opt_one_var_no_deriv Minimizes a function of one variable, using function values only
e04bbc	5	nag_opt_one_var_deriv Minimizes a function of one variable, requires first derivatives
e04ccc	4	nag_opt_simplex Unconstrained minimization using simplex algorithm
e04dgc	2	nag_opt_conj_grad Unconstrained minimization using conjugate gradients
e04fcc	2	nag_opt_lsq_no_deriv Unconstrained nonlinear least-squares (no derivatives required)
e04gbc	2	nag_opt_lsq_deriv Unconstrained nonlinear least-squares (first derivatives required)
e04hcc	2	nag_opt_check_deriv Derivative checker
e04hdc	5	nag_opt_check_2nd_deriv Checks second derivatives of a user-defined function
e04lbc	5	nag_opt_bounds_2nd_deriv Solves bound constrained problems (first and second derivatives required)
e04mfc	2	nag_opt_lp Linear programming
e04myc	5	nag_opt_sparse_mps_free Free memory allocated by nag_opt_sparse_mps_read (e04mzc)
e04mzc	5	nag_opt_sparse_mps_read Read MPSX data for sparse LP or QP problem from a file
e04ncc	5	nag_opt_lin_lsq Solves linear least-squares and convex quadratic programming problems (non-sparse)
e04nfc	2	nag_opt_qp Quadratic programming
e04npc	8	nag_opt_sparse_convex_qp_init Initialization function for nag_opt_sparse_convex_qp_solve (e04nqc)
e04nqc	8	nag_opt_sparse_convex_qp_solve LP or QP problem (suitable for sparse problems)
e04nrc	8	nag_opt_sparse_convex_qp_option_set_file Supply optional parameter values for nag_opt_sparse_convex_qp_solve (e04nqc) from external file
e04nsc	8	nag_opt_sparse_convex_qp_option_set_string Set a single option for nag_opt_sparse_convex_qp_solve (e04nqc) from a character string
e04ntc	8	nag_opt_sparse_convex_qp_option_set_integer Set a single option for nag_opt_sparse_convex_qp_solve (e04nqc) from an Integer argument
e04nuc	8	nag_opt_sparse_convex_qp_option_set_double Set a single option for nag_opt_sparse_convex_qp_solve (e04nqc) from a double argument
e04nxc	8	nag_opt_sparse_convex_qp_option_get_integer Get the setting of an Integer valued option of nag_opt_sparse_convex_qp_solve (e04nqc)
e04nyc	8	nag_opt_sparse_convex_qp_option_get_double Get the setting of a double valued option of nag_opt_sparse_convex_qp_solve (e04nqc)
e04ugc	6	nag_opt_nlp_sparse NLP problem (sparse)
e04unc	5	nag_opt_nlin_lsq Solves nonlinear least-squares problems using the sequential QP method
e04vgc	8	nag_opt_sparse_nlp_init Initialization function for nag_opt_sparse_nlp_solve (e04vhc)
e04vhc	8	nag_opt_sparse_nlp_solve General sparse nonlinear optimizer
e04vjc	8	nag_opt_sparse_nlp_jacobian Determine the pattern of nonzeros in the Jacobian matrix for nag_opt_sparse_nlp_solve (e04vhc)
e04vkc	8	nag_opt_sparse_nlp_option_set_file Supply optional parameter values for nag_opt_sparse_nlp_solve (e04vhc) from external file
e04vlc	8	nag_opt_sparse_nlp_option_set_string Set a single option for nag_opt_sparse_nlp_solve (e04vhc) from a character string
e04vmc	8	nag_opt_sparse_nlp_option_set_integer Set a single option for nag_opt_sparse_nlp_solve (e04vhc) from an Integer argument
e04vnc	8	nag_opt_sparse_nlp_option_set_double Set a single option for nag_opt_sparse_nlp_solve (e04vhc) from a double argument
e04vrc	8	nag_opt_sparse_nlp_option_get_integer Get the setting of an Integer valued option of nag_opt_sparse_nlp_solve (e04vhc)
e04vsc	8	nag_opt_sparse_nlp_option_get_double Get the setting of a double valued option of nag_opt_sparse_nlp_solve (e04vhc)
e04wcc	8	nag_opt_nlp_init Initialization function for nag_opt_nlp_solve (e04wdc)
e04wdc	8	nag_opt_nlp_solve Solves the nonlinear programming (NP) problem
e04wec	8	nag_opt_nlp_option_set_file Supply optional parameter values for nag_opt_nlp_solve (e04wdc) from external file
e04wfc	8	nag_opt_nlp_option_set_string Set a single option for nag_opt_nlp_solve (e04wdc) from a character string
e04wgc	8	nag_opt_nlp_option_set_integer Set a single option for nag_opt_nlp_solve (e04wdc) from an Integer argument
e04whc	8	nag_opt_nlp_option_set_double Set a single option for nag_opt_nlp_solve (e04wdc) from a double argument
e04wkc	8	nag_opt_nlp_option_get_integer Get the setting of an Integer valued option of nag_opt_nlp_solve (e04wdc)
e04wlc	8	nag_opt_nlp_option_get_double Get the setting of a double valued option of nag_opt_nlp_solve (e04wdc)
e04xac	5	nag_opt_estimate_deriv Computes an approximation to the gradient vector and/or the Hessian matrix
e04xxc	2	nag_opt_init Initialization function for option setting
e04xyc	2	nag_opt_read Read options from a text file
e04xzc	2	nag_opt_free Memory freeing function for use with option setting
e04yac	2	nag_opt_lsq_check_deriv Least-squares derivative checker for use with nag_opt_lsq_deriv (e04gbc)
e04ycc	2	nag_opt_lsq_covariance Covariance matrix for nonlinear least-squares

f01 – Matrix Factorizations

Routine Name	Mark of Introduction	Purpose
f01bnc	1	nag_complex_cholesky U U^H factorization of complex Hermitian positive-definite matrix
f01mcc	1	nag_real_cholesky_skyline L D L^T factorization of real symmetric positive-definite variable-bandwidth (skyline) matrix
f01qcc	1	nag_real_qr Q R factorization of real m by n matrix (m≥n)
f01qdc	1	nag_real_apply_q Compute Q B or Q^T B after factorization by nag_real_qr (f01qcc)
f01qec	1	nag_real_form_q Form columns of Q after factorization by nag_real_qr (f01qcc)
f01rcc	1	nag_complex_qr Q R factorization of complex m by n matrix (m≥n)
f01rdc	1	nag_complex_apply_q Compute Q B or Q^H B after factorization by nag_complex_qr (f01rcc)
f01rec	1	nag_complex_form_q Form columns of Q after factorization by nag_complex_qr (f01rcc)

f02 – Eigenvalues and Eigenvectors

Routine Name	Mark of Introduction	Purpose
f02aac	1	nag_real_symm_eigenvalues All eigenvalues of real symmetric matrix
f02abc	1	nag_real_symm_eigensystem All eigenvalues and eigenvectors of real symmetric matrix
f02adc	1	nag_real_symm_general_eigenvalues All eigenvalues of generalized real symmetric-definite eigenproblem
f02aec	1	nag_real_symm_general_eigensystem All eigenvalues and eigenvectors of generalized real symmetric-definite eigenproblem
f02afc	1	nag_real_eigenvalues All eigenvalues of real matrix
f02agc	1	nag_real_eigensystem All eigenvalues and eigenvectors of real matrix
f02awc	2	nag_hermitian_eigenvalues All eigenvalues of complex Hermitian matrix
f02axc	2	nag_hermitian_eigensystem All eigenvalues and eigenvectors of complex Hermitian matrix
f02bjc	2	nag_real_general_eigensystem All eigenvalues and optionally eigenvectors of real generalized eigenproblem, by Q Z algorithm
f02ecc	5	nag_real_eigensystem_sel Computes selected eigenvalues and eigenvectors of a real general matrix
f02gcc	5	nag_complex_eigensystem_sel Computes selected eigenvalues and eigenvectors of a complex general matrix
f02wec	1	nag_real_svd SVD of real matrix
f02xec	1	nag_complex_svd SVD of complex matrix

f03 – Determinants

Routine Name	Mark of Introduction	Purpose
f03aec	1	nag_real_cholesky L L^T factorization and determinant of real symmetric positive-definite matrix
f03afc	1	nag_real_lu L U factorization and determinant of real matrix
f03ahc	1	nag_complex_lu L U factorization and determinant of complex matrix

f04 – Simultaneous Linear Equations

Routine Name	Mark of Introduction	Purpose
f04adc	1	nag_complex_lin_eqn_mult_rhs Approximate solution of complex simultaneous linear equations with multiple right-hand sides
f04agc	1	nag_real_cholesky_solve_mult_rhs Approximate solution of real symmetric positive-definite simultaneous linear equations (coefficient matrix already factorized by nag_real_cholesky (f03aec))
f04ajc	1	nag_real_lu_solve_mult_rhs Approximate solution of real simultaneous linear equations (coefficient matrix already factorized by nag_real_lu (f03afc))
f04akc	1	nag_complex_lu_solve_mult_rhs Approximate solution of complex simultaneous linear equations (coefficient matrix already factorized by nag_complex_lu (f03ahc))
f04arc	1	nag_real_lin_eqn Approximate solution of real simultaneous linear equations, one right-hand side
f04awc	1	nag_hermitian_lin_eqn_mult_rhs Approximate solution of complex Hermitian positive-definite simultaneous linear equations (coefficient matrix already factorized by nag_complex_cholesky (f01bnc))
f04bac	8	nag_real_gen_lin_solve Computes the solution and error-bound to a real system of linear equations
f04bbc	8	nag_real_band_lin_solve Computes the solution and error-bound to a real banded system of linear equations
f04bcc	8	nag_real_tridiag_lin_solve Computes the solution and error-bound to a real tridiagonal system of linear equations
f04bdc	8	nag_real_sym_posdef_lin_solve Computes the solution and error-bound to a real symmetric positive-definite system of linear equations
f04bec	8	nag_real_sym_posdef_packed_lin_solve Computes the solution and error-bound to a real symmetric positive-definite system of linear equations, packed storage
f04bfc	8	nag_real_sym_posdef_band_lin_solve Computes the solution and error-bound to a real symmetric positive-definite banded system of linear equations
f04bgc	8