Alphabetical Summary of Functions

[A] [B] [C] [D] [E] [F] [G] [H] [I] [J] [K] [L] [M] [N] [O] [P] [Q] [R] [S] [T] [U] [V] [W] [Y] [Z]

Function	Purpose Statement
accr_interest_maturity	Evaluates the accrued interest for a security that pays at maturity.
accr_interest_periodic	Evaluates the accrued interest for a security that pays periodic interest.
airy_Ai	Evaluates the Airy function.
airy_Ai_derivative	Evaluates the derivative of the Airy function.
airy_Bi	Evaluates the Airy function of the second kind.
airy_Bi_derivative	Evaluates the derivative of the Airy function of the second kind.
arpack_general	Computes selected eigenvalues and eigenvectors of the generalized real nonsymmetric eigenvalue problem Ax = λBx.
arpack_general_(complex)	Computes selected eigenvalues and eigenvectors of the generalized complex eigenvalue problem Ax = λBx.
arpack_svd	Computes selected singular values and singular vectors of a real rectangular matrix A = UΣV^T.
arpack_symmetric	Computes selected eigenvalues and eigenvectors of the generalized real symmetric eigenvalue problem Ax = λBx.

Function	Purpose Statement
bessel_exp_I0	Evaluates the exponentially scale modified Bessel function of the first kind of order zero.
bessel_exp_I1	Evaluates the exponentially scaled modified Bessel function of the first kind of order one.
bessel_exp_K0	Evaluates the exponentially scaled modified Bessel function of the second kind of order zero.
bessel_exp_K1	Evaluates the exponentially scaled modified Bessel function of the second kind of order one.
bessel_I0	Evaluates the real modified Bessel function of the first kind of order zero I0(x).
bessel_I1	Evaluates the real modified Bessel function of the first kind of order one I1(x).
bessel_Ix	Evaluates a sequence of modified Bessel functions of the first kind with real order and complex arguments.
bessel_J0	Evaluates the real Bessel function of the first kind of order zero J0(x).
bessel_J1	Evaluates the real Bessel function of the first kind of order one J1(x).
bessel_Jx	Evaluates a sequence of Bessel functions of the first kind with real order and complex arguments.
bessel_K0	Evaluates the real modified Bessel function of the second kind of order zero K0(x).
bessel_K1	Evaluates the real modified Bessel function of the second kind of order one K1(x).
bessel_Kx	Evaluates a sequence of modified Bessel functions of the second kind with real order and complex arguments.
bessel_Y0	Evaluates the real Bessel function of the second kind of order zero Y0(x).
bessel_Y1	Evaluates the real Bessel function of the second kind of order one Y1(x).
bessel_Yx	Evaluates a sequence of Bessel functions of the second kind with real order and complex arguments.
beta	Evaluates the real beta function β(x, y).
beta_cdf	Evaluates the beta probability distribution function.
beta_incomplete	Evaluates the real incomplete beta function Ix = βx(a, b)/β(a, b).
beta_inverse_cdf	Evaluates the inverse of the beta distribution function.
binomial_cdf	Evaluates the binomial distribution function.
bivariate_normal_cdf	Evaluates the bivariate normal distribution function.
bond_equivalent_yield	Evaluates the bond-equivalent for a Treasury yield.
bounded_least_squares	Solves a nonlinear least-squares problem subject to bounds on the variables using a modified Levenberg-Marquardt algorithm.
bvp_finite_difference	Solves a (parameterized) system of differential equations with boundary conditions at two points, using a variable order, variable step size finite difference method with deferred corrections.

Function	Purpose Statement
chi_squared_cdf	Evaluates the chi-squared distribution function.
chi_squared_inverse_cdf	Evaluates the inverse of the chi-squared distribution function.
chi_squared_test	Performs a chi-squared goodness-of-fit test.
constant	Returns the value of various mathematical and physical constants.
constrained_nlp	Solves a general nonlinear programming problem using a sequential equality constrained quadratic programming method.
convexity	Evaluates the convexity for a security.
convolution	Computes the convolution, and optionally, the correlation of two real vectors.
convolution (complex)	Computes the convolution, and optionally, the correlation of two complex vectors.
coupon_days	Evaluates the number of days in the coupon period that contains the settlement date.
coupon_number	Evaluates the number of coupons payable between the settlement date and maturity date.
covariances	Computes the sample variance-covariance or correlation matrix.
ctime	Returns the number of CPU seconds used.
cub_spline_integral	Computes the integral of a cubic spline.
cub_spline_interp_e_cnd	Computes a cubic spline interpolant, specifying various endpoint conditions.
cub_spline_interp_shape	Computes a shape-preserving cubic spline.
cub_spline_smooth	Computes a smooth cubic spline approximation to noisy data by using cross-validation to estimate the smoothing parameter or by directly choosing the smoothing parameter.
cub_spline_tcb	Computes a tension-continuity-bias (TCB) cubic spline interpolant. This is also called a Kochanek-Bartels spline and is a generalization of the Catmull–Rom spline.
cub_spline_value	Computes the value of a cubic spline or the value of one of its derivatives.
cumulative_interest	Evaluates the cumulative interest paid between two periods.
cumulative_principal	Evaluates the cumulative principal paid between two periods.

Function	Purpose Statement
date_to_days	Evaluates the number of days from January 1, 1900, to the given date.
days_before_settlement	Evaluates the number of days from the beginning of the coupon period to the settlement date.
days_to_date	Gives the date corresponding to the number of days since January 1, 1900.
days_to_next_coupon	Evaluates the number of days from settlement date to the next coupon date.
dea_petzold_gear	Solves a first order differential-algebraic system of equations, g(t, y, y′) = 0, using the Petzold-Gear BDF method.
depreciation_amordegrc	Evaluates the depreciation for each accounting period. Similar to depreciation_amorlinc.
depreciation_amorlinc	Evaluates the depreciation for each accounting period. Similar to depreciation_amordegrc.
depreciation_db	Evaluates the depreciation of an asset for a specified period using the fixed-declining balance method.
depreciation_ddb	Evaluates the depreciation of an asset for a specified period using the double-declining method.
depreciation_sln	Evaluates the straight line depreciation of an asset for one period.
depreciation_syd	Evaluates the sum-of-years digits depreciation of an asset for a specified period.
depreciation_vdb	Evaluates the depreciation of an asset for any given period, including partial periods, using the double-declining balance method.
differential_algebraic_eqs	Solves a first order differential-algebraic system of equations, g(t, y, y′) = 0, with optional additional constraints and user-defined linear system solver.
discount_price	Evaluates the price per $100 face value of a discounted security.
discount_rate	Evaluates the discount rate for a security.
discount_yield	Evaluates the annual yield for a discounted security.
dollar_decimal	Converts a dollar price, expressed as a fraction, into a dollar price, expressed as a decimal number.
dollar_fraction	Converts a dollar price, expressed as a decimal number, into a dollar price, expressed as a fraction.
duration	Evaluates the annual duration of a security with periodic interest payment.

Function	Purpose Statement
effective_rate	Evaluates the effective annual interest rate.
eig_gen	Computes the eigenexpansion of a real matrix A.
eig_gen (complex)	Computes the eigenexpansion of a complex matrix A.
eig_herm_band_(complex)	Computes all eigenvalues or eigenpairs of a complex Hermitian matrix A in band storage format. Optionally, interval and extreme eigenvalues or eigenpairs of A can be computed.
eig_herm (complex)	Computes the eigenexpansion of a complex Hermitian matrix A.
eig_sym	Computes the eigenexpansion of a real symmetric matrix A.
eig_sym_band	Computes all eigenvalues or eigenpairs of a real symmetric matrix A in band storage format. Optionally, interval and extreme eigenvalues or eigenpairs of A can be computed.
eig_symgen	Computes the generalized eigenexpansion of a system Ax = λBx. A and B are real and symmetric. B is positive definite.
elliptic_integral_E	Evaluates the complete elliptic integral of the second kind E(x).
elliptic_integral_K	Evaluates the complete elliptic integral of the kind K(x).
elliptic_integral_RC	Evaluates an elementary integral from which inverse circular functions, logarithms, and inverse hyperbolic functions can be computed.
elliptic_integral_RD	Evaluates Carlson’s elliptic integral of the second kind RD(x, y, z).
elliptic_integral_RF	Evaluates Carlson’s elliptic integral of the first kind RF(x, y, z).
elliptic_integral_RJ	Evaluates Carlson’s elliptic integral of the third kind RJ(x, y, z, ρ).
erf	Evaluates the real error function erf(x).
erf_inverse	Evaluates the real inverse error function erf -1(x).
erfc	Evaluates the real complementary error function erfc(x).
erfc_inverse	Evaluates the real inverse complementary error function erfc-1(x).
erfce	Evaluates the exponentially scaled complementary error function.
erfe	Evaluates a scaled function related to erfc(z).
error_code	Gets the code corresponding to the error message from the last function called.
error_message	Gets the text of the error message from the last function called.
error_options	Sets various error handling options.
error_type	Gets the type corresponding to the error message from the last function called.

Function	Purpose Statement
F_cdf	Evaluates the F distribution function.
F_inverse_cdf	Evaluates the inverse of the F distribution function.
fast_poisson_2d	Solves Poisson’s or Helmholtz’s equation on a two-dimensional rectangle using a fast Poisson solver based on the HODIE finite-difference scheme on a uniform mesh.
faure_next_point	Evaluates a shuffled Faure sequence.
fclose	Closes a file opened by imsl_fopen.
fcn_derivative	Computes the first, second or third derivative of a user-supplied function.
feynman_kac	Solves a generalized Feynman-Kac equation on a finite interval using Hermite quintic splines.
feynman_kac_evaluate	Computes the value of a Hermite quintic spline or the value of one of its derivatives.
fft_2d_complex	Computes the complex discrete two-dimensional Fourier transform of a complex two-dimensional array.
fft_complex	Computes the complex discrete Fourier transform of a complex sequence.
fft_complex_init	Computes the parameters for imsl_c_fft_complex.
fft_cosine	Computes the discrete Fourier cosine transformation of an even sequence.
fft_cosine_init	Computes the parameters needed for imsl_f_fft_cosine.
fft_real	Computes the real discrete Fourier transform of a real sequence.
fft_real_init	Computes the parameters for imsl_f_fft_real.
fft_sine	Computes the discrete Fourier sine transformation of an odd sequence.
fft_sine_init	Computes the parameters needed for imsl_f_fft_sine.
fopen	Opens a file using the C runtime library used by the IMSL C Math Library.
free	Frees memory returned from an IMSL C Math Library function.
fresnel_integral_C	Evaluates the cosine Fresnel integral.
fresnel_integral_S	Evaluates the sine Fresnel integral.
future_value	Evaluates the future value of an investment.
future_value_schedule	Evaluates the future value of an initial principal after applying a series of compound interest rates.

Function	Purpose Statement
gamma	Evaluates the real gamma function Γ(x).
gamma_cdf	Evaluates the gamma distribution function.
gamma_incomplete	Evaluates the incomplete gamma function γ (a, x).
gauss_quad_rule	Computes a Gauss, Gauss-Radau, or Gauss-Lobatto quadrature rule with various classical weight functions.
geneig	Computes the generalized eigenexpansion of a system Ax = λBx, with A and B real.
geneig (complex)	Computes the generalized eigenexpansion of a system Ax = λBx, with A and B complex.
generate_test_band	Generates test matrices of class E(n, c).
generate_test_band (complex)	Generates test matrices of class Ec(n, c).
generate_test_coordinate	Generates test matrices of class D(n, c) and E(n, c).
generate_test_coordinate (complex)	Generates test matrices of class D(n, c) and E(n, c).

Function	Purpose Statement
hypergeometric_cdf	Evaluates the hypergeometric distribution function.

Function	Purpose Statement
initialize_error_handler	Initializes the IMSL C Math Library error handling system.
int_fcn	Integrates a function using a globally adaptive scheme based on Gauss-Kronrod rules.
int_fcn_2d	Computes a two-dimensional iterated integral.
int_fcn_alg_log	Integrates a function with algebraic-logarithmic singularities.
int_fcn_cauchy	Computes integrals of the form in the Cauchy principal value sense.
int_fcn_fourier	Computes a Fourier sine or cosine transform.
int_fcn_hyper_rect	Integrates a function on a hyper-rectangle.
int_fcn_inf	Integrates a function over an infinite or semi-infinite interval.
int_fcn_qmc	Integrates a function on a hyper-rectangle using a quasi-Monte Carlo method.
int_fcn_sing	Integrates a function, which may have endpoint singularities, using a globally adaptive scheme based on Gauss-Kronrod rules.
int_fcn_sing_1d	Integrates a function with a possible internal or endpoint singularity.
int_fcn_sing_2d	Integrates a function of two variables with a possible internal or endpoint singularity.
int_fcn_sing_3d	Integrates a function of three variables with a possible internal or endpoint singularity.
int_fcn_sing_pts	Integrates a function with singularity points given.
int_fcn_smooth	Integrates a smooth function using a nonadaptive rule.
int_fcn_trig	Integrates a function containing a sine or a cosine factor.
interest_payment	Evaluates the interest payment for a given period for an investment.
interest_rate_annuity	Evaluates the interest rate per period for an annuity.
interest_rate_security	Evaluates the interest rate for a fully invested security.
internal_rate_of_return	Evaluates the internal rate of return for a schedule of cash flows.
internal_rate_schedule	Evaluates the internal rate of return for a schedule of cash flows that is not necessarily periodic.
inverse_laplace	Computes the inverse Laplace transform of a complex function.

Function	Purpose Statement
jacobian	Approximates the Jacobian of m functions in n unknowns using divided differences.

Function	Purpose Statement
kelvin_bei0	Evaluates the Kelvin function of the first kind, bei, of order zero.
kelvin_bei0_derivative	Evaluates the derivative of the Kelvin function of the first kind, bei, of order zero.
kelvin_ber0	Evaluates the Kelvin function of the first kind, ber, of order zero.
kelvin_ber0_derivative	Evaluates the derivative of the Kelvin function of the first kind, ber, of order zero.
kelvin_kei0	Evaluates the Kelvin function of the second kind, kei, of order zero.
kelvin_kei0_derivative	Evaluates the derivative of the Kelvin function of the second kind, kei, of order zero.
kelvin_ker0	Evaluates the Kelvin function of the second kind, der, of order zero.
kelvin_ker0_derivative	Evaluates the derivative of the Kelvin function of the second kind, ker, of order zero.

Function	Purpose Statement
lin_least_squares_gen	Solves a linear least-squares problem Ax = b.
lin_lsq_lin_constraints	Solves a linear least squares problem with linear constraints.
lin_prog	Solves a linear programming problem using the revised simplex algorithm.
lin_sol_def_cg	Solves a real symmetric definite linear system using a conjugate gradient method.
lin_sol_gen	Solves a real general system of linear equations Ax = b.
lin_sol_gen (complex)	Solves a complex general system of linear equations Ax = b.
lin_sol_gen_band	Solves a real general band system of linear equations Ax = b.
lin_sol_gen_band (complex)	Solves a complex general system of linear equations Ax = b.
lin_sol_gen_coordinate	Solves a sparse system of linear equations Ax = b.
lin_sol_gen_coordinate (complex)	Solves a system of linear equations Ax = b, with sparse complex coefficient matrix A.
lin_sol_gen_min_residual	Solves a linear system Ax = b using the restarted generalized minimum residual (GMRES) method.
lin_sol_nonnegdef	Solves a real symmetric nonnegative definite system of linear equations Ax = b.
lin_sol_posdef	Solves a real symmetric positive definite system of linear equations Ax = b.
lin_sol_posdef (complex)	Solves a complex Hermitian positive definite system of linear equations Ax = b.
lin_sol_posdef_band	Solves a real symmetric positive definite system of linear equations Ax = b in band symmetric storage mode.
lin_sol_posdef_band (complex)	Solves a complex Hermitian positive definite system of linear equations Ax = b in band symmetric storage mode.
lin_sol_posdef_coordinate	Solves a sparse real symmetric positive definite system of linear equations Ax = b.
lin_sol_posdef_coordinate (complex)	Solves a sparse Hermitian positive definite system of linear equations Ax = b.
lin_svd_gen	Computes the SVD, A = USVT, of a real rectangular matrix A.
lin_svd_gen (complex)	Computes the SVD, A = USVH, of a complex rectangular matrix A.
linear_programming	Solves a linear programming problem.
log_beta	Evaluates the logarithm of the real beta function ln β (x, y).
log_gamma	Evaluates the logarithm of the absolute value of the gamma function log \|Γ(x)\|.

Function	Purpose Statement
machine (float)	Returns information describing the computer’s floating-point arithmetic.
machine (integer)	Returns integer information describing the computer’s arithmetic.
mat_add_band	Adds two band matrices, both in band storage mode, C ← αA + βB.
mat_add_band (complex)	Adds two band matrices, both in band storage mode, C ← αA + βB.
mat_add_coordinate	Performs element-wise addition of two real matrices stored in coordinate format, C ← αA + βB.
mat_add_coordinate (complex)	Performs element-wise addition on two complex matrices stored in coordinate format, C ← αA + βB.
mat_mul_rect	Computes the transpose of a matrix, a matrix-vector product, a matrix-matrix product, the bilinear form, or any triple product.
mat_mul_rect (complex)	Computes the transpose of a matrix, the conjugate-transpose of a matrix, a matrix-vector product, a matrix-matrix product, the bilinear form, or any triple product.
mat_mul_rect_band	Computes the transpose of a matrix, a matrix-vector product, or a matrix-matrix product, all matrices stored in band form.
mat_mul_rect_band (complex)	Computes the transpose of a matrix, a matrix-vector product, or a matrix-matrix product, all matrices of complex type and stored in band form.
mat_mul_rect_coordinate	Computes the transpose of a matrix, a matrix-vector product, or a matrix-matrix product, all matrices stored in sparse coordinate form.
mat_mul_rect_coordinate (complex)	Computes the transpose of a matrix, a matrix-vector product or a matrix-matrix product, all matrices stored in sparse coordinate form.
matrix_norm	Computes various norms of a rectangular matrix.
matrix_norm_band	Computes various norms of a matrix stored in band storage mode.
matrix_norm_coordinate	Computes various norms of a matrix stored in coordinate format.
min_con_gen_lin	Minimizes a general objective function subject to linear equality/inequality constraints.
min_uncon	Finds the minimum point of a smooth function f(x) of a single variable using only function evaluations.
min_uncon_deriv	Finds the minimum point of a smooth function f(x) of a single variable using both function and first derivative evaluations.
min_uncon_golden	Finds the minimum point of a nonsmooth function of a single variable.
min_uncon_multivar	Minimizes a function f(x) of n variables using a quasi-Newton method.
min_uncon_polytope	Minimizes a function of n variables using a direct search polytope algorithm.
modified_duration	Evaluates the modified Macauley duration of a security.
modified_internal_rate	Evaluates the modified internal rate of return for a series of periodic cash flows.
modified_method_of_lines	Solves a system of partial differential equations of the form ut + f(x, t, u, ux, uxx) using the method of lines.

Function	Purpose Statement
net_present_value	Evaluates the net present value of an investment based on a series of periodic.
next_coupon_date	Evaluates the next coupon date after the settlement date.
nominal_rate	Evaluates the nominal annual interest rate.
nonlin_least_squares	Solves a nonlinear least-squares problem using a modified Levenberg-Marquardt algorithm.
nonneg_least_squares	Computes the non-negative least squares (nnls) solution.
nonneg_matrix_factorization	Given an m × n real matrix A ≥ 0 and an integer k ≤ min (m, n), compute a factorization A ≅ FG.
normal_cdf	Evaluates the standard normal (Gaussian) distribution function.
normal_inverse_cdf	Evaluates the inverse of the standard normal (Gaussian) distribution function.
number_of_periods	Evaluates the number of periods for an investment based on periodic and constant payment and a constant interest rate.

Function	Purpose Statement
Ode_adams_krogh	Solves an initial-value problem for a system of ordinary differential equations of order one or two using a variable order Adams method
ode_runge_kutta	Solves an initial-value problem for ordinary differential equations using the Runge-Kutta-Verner fifth-order and sixth-order method.
omp_options	Sets various OpenMP options.
output_file	Sets the output file or the error message output file.

Function	Purpose Statement
page	Sets or retrieve the page width or length.
payment	Evaluates the periodic payment for an investment.
pde_1d_mg	Solves a system of one-dimensional time-dependent partial differential equations using a moving-grid interface.
poisson_cdf	Evaluates the Poisson distribution function.
poly_regression	Performs a polynomial least-squares regression.
present_value	Evaluates the present value of an investment.
present_value_schedule	Evaluates the present value for a schedule of cash flows that is not necessarily periodic.
previous_coupon_date	Evaluates the previous coupon date before the settlement date.
price	Evaluates the price per $100 face value of a security that pays periodic interest.
price_maturity	Evaluates the price per $100 face value of a security that pays interest at maturity.
principal_payment	Evaluates the payment on the principal for a given period.
psi	Evaluates the derivative of the log gamma function.
psi1	Evaluates the second derivative of the log gamma function.

Function	Purpose Statement
quadratic_prog	Solves a quadratic programming problem subject to linear equality or inequality constraints.

Function	Purpose Statement
radial_evaluate	Evaluates a radial basis fit.
radial_scattered_fit	Computes an approximation to scattered data in Rn for n ≥ 2 using radial basis functions.
random_beta	Generates pseudorandom numbers from a beta distribution.
random_exponential	Generates pseudorandom numbers from a standard exponential distribution.
random_gamma	Generates pseudorandom numbers from a standard gamma distribution.
random_normal	Generates pseudorandom numbers from a standard normal distribution using an inverse CDF method.
random_option	Selects the uniform (0, 1) multiplicative congruential pseudorandom number generator.
random_poisson	Generates pseudorandom numbers from a Poisson distribution.
random_seed_get	Retrieves the current value of the seed used in the IMSL random number generators.
random_seed_set	Initializes a random seed for use in the IMSL random number generators.
random_uniform	Generates pseudorandom numbers from a uniform (0, 1) distribution.
ranks	Computes the ranks, normal scores, or exponential scores for a vector of observations.
read_mps	Reads an MPS file containing a linear programming problem or a quadratic programming problem.
received_maturity	Evaluates the amount received for a fully invested security.
regression	Fits a multiple linear regression model using least squares.

Function	Purpose Statement
scattered_2d_interp	Computes a smooth bivariate interpolant to scattered data that is locally a quintic polynomial in two variables.
set_user_fcn_return_flag	Indicates a condition has occurred in a user-supplied function necessitating a return to the calling function.
simple_statistics	Computes basic univariate statistics.
smooth_1d_data	Smooth one-dimensional data by error detection.
sort	Sorts a vector by algebraic value. Optionally, a vector can be sorted by absolute value, and a sort permutation can be returned.
sort (integer)	Sorts an integer vector by algebraic value. Optionally, a vector can be sorted by absolute value, and a sort permutation can be returned.
sparse_cholesky_smp	Computes the Cholesky factorization of a sparse real symmetric positive definite matrix A by an OpenMP parallelized supernodal algorithm and solves the sparse real positive definite system of linear equations Ax = b.
sparse_cholesky_smp (complex)	Computes the Cholesky factorization of a sparse (complex) Hermitian positive definite matrix A by an OpenMP parallelized supernodal algorithm and solves the sparse Hermitian positive definite system of linear equations Ax = b.
sparse_lin_prog	Solves a sparse linear programming problem by an infeasible primal-dual interior-point method.
sparse_quadratic_prog	Solves a sparse convex quadratic programming problem by an infeasible primal-dual interior-point method.
spline_2d_integral	Evaluates the integral of a tensor-product spline on a rectangular domain.
spline_2d_interp	Computes a two-dimensional, tensor-product spline interpolant from two-dimensional, tensor-product data.
spline_2d_least_squares	Computes a two-dimensional, tensor-product spline approximant using least squares.
spline_2d_value	Computes the value of a tensor-product spline or the value of one of its partial derivatives.
spline_integral	Computes the integral of a spline.
spline_interp	Computes a spline interpolant.
spline_knots	Computes the knots for a spline interpolant.
spline_least_squares	Computes a least-squares spline approximation.
spline_lsq_constrained	Computes a least-squares constrained spline approximation.
spline_nd_interp	Performs a multidimensional interpolation and differentiation for up to 7 dimensions.
spline_value	Computes the value of a spline or the value of one of its derivatives.
superlu	Computes the LU factorization of a general sparse matrix by a column method and solves the real sparse linear system of equations Ax = b.
superlu (complex)	Computes the LU factorization of a general complex sparse matrix by a column method and solves the complex sparse linear system of equations Ax = b.
superlu_smp	Computes the LU factorization of a general sparse matrix by a left-looking column method using OpenMP parallelism, and solves the real sparse linear system of equations Ax = b
superlu_smp (complex)	Computes the LU factorization of a general complex sparse matrix by a left-looking column method using OpenMP parallelism and solves the complex sparse linear system of equations Ax = b.

Function	Purpose Statement
t_cdf	Evaluates the Student’s t distribution function.
t_inverse_cdf	Evaluates the inverse of the Student’s t distribution function.
table_oneway	Tallies observations into a one-way frequency table.
treasury_bill_price	Computes the price per $100 face value for a Treasury bill.
treasury_bill_yield	Computes the yield for a Treasury bill.

Function	Purpose Statement
user_fcn_least_squares	Computes a least-squares fit using user-supplied functions.

Function	Purpose Statement
vector_norm	Computes various norms of a vector or the difference of two vectors.
vector_norm (complex)	Computes various norms of a vector or the difference of two vectors.
version	Returns integer information describing the version of the library, license number, operating system, and compiler.

Function	Purpose Statement
write_matrix	Prints a rectangular matrix (or vector) stored in contiguous memory locations.
write_options	Sets or retrieve an option for printing a matrix.

Function	Purpose Statement
year_fraction	Evaluates the year fraction that represents the number of whole days between two dates.
yield_maturity	Evaluates the annual yield of a security that pays interest at maturity.
yield_periodic	Evaluates the yield of a security that pays periodic interest.

Function	Purpose Statement
zeros_function	Finds the real zeros of a real, continuous, univariate function.
zeros_poly	Finds the zeros of a polynomial with real coefficients using the Jenkins-Traub three-stage algorithm.
zeros_poly (complex)	Finds the zeros of a polynomial with complex coefficients using the Jenkins-Traub three-stage algorithm.
zeros_sys_eqn	Solves a system of n nonlinear equations f (x) = 0 using a modified Powell hybrid algorithm.
zero_univariate	Finds a zero of a real univariate function.