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Alphabetized List of Math Modules 　 IMSL 数学ライブラリモジュール 統計ライブラリは IMSL Stat Library Volume I と IMSL Stat Library Volume II を参照してください。 ACBCB Add two complex band matrices, both in band storage mode. ACHAR Return the character whose ASCII value is the input integer argument. ACOSH (DACOSH) Arccosh(x). AI (DAI) Airy function Ai(x). AID (DAID) Derivative of the Airy function Ai(x). AIDE (DAIDE) Exponentially scaled derivative of the Airy function exp(x)dAi(x)/dx. AIE (DAIE) Exponentially scaled Airy function exp(x)Ai(x). AKEI0 (DKEI0) Kelvin function kei0(x). AKEI1 (DKEI1) Kelvin function kei1(x). AKEIP0 (DKEIP0) Derivative of the Kelvin function kei0(x). AKER0 (DKER0) Kelvin function ker0(x). AKER1 (DKER1) Kelvin function ker1(x). AKERP0 (DKERP0) Derivative of the Kelvin function ker0(x). ALBETA (DLBETA) Logarithm of the complete beta function for positive arguments. ALGAMS (DLGAMS) Ln(abs(gamma(x))) and sign(gamma(x)). ALI (DLI) Logarithmic integral, integral from 0 to x of 1/ln(t). ALNGAM (DLNGAM) Ln(abs(gamma(x))). ALNREL (DLNREL) Ln(1+x). AMACH (DMACH) Retrieve single-precision machine constants. ARBRB (DARBRB) Add two band matrices, both in band storage mode. ASINH (DASINH) Arcsinh(x). ATANH (DATANH) Arctanh(x). BCLSF (DBCLSF) Solve a nonlinear least-squares problem subject to bounds on the variables using ... BCLSJ (DBCLSJ) Solve a nonlinear least-squares problem subject to bounds on the variables using ... BCOAH (DBCOAH) Minimize a function of N variables subject to bounds on the variables using a mo ... BCODH (DBCODH) Minimize a function of N variables subject to bounds on the variables using a mo ... BCONF (DBCONF) Minimize a function of N variables subject to bounds on the variables using a qu ... BCONG (DBCONG) Minimize a function of N variables subject to bounds on the variables using a qu ... BCPOL (DBCPOL) Minimize a function of N variables subject to bounds on the variables using a di ... BEI0 (DBEI0) Kelvin function bei0(x). BEI1 (DBEI1) Kelvin function bei1(x). BEIP0 (DBEIP0) Derivative of the Kelvin function bei0(x). BER0 (DBER0) Kelvin function ber0(x). BER1 (DBER1) Kelvin function ber1(x). BERP0 (DBERP0) Derivative of the Kelvin function ber0(x). BETAI (DBETAI) Incomplete beta function. BI (DBI) Airy function Bi(x). BID (DBID) Derivative of the Airy function Bi(x). BIDE (DBIDE) Exponentially scaled derivative of the Airy function exp(-x)dBi(x)/dx. BIE (DBIE) Exponentially scaled Airy function exp(-x)Bi(x). BLINF (DBLINF) Compute the bilinear mode transpose(x)*A*y. BS1GD (DBS1GD) Evaluate the derivative of a spline on a grid, given its B-spline representation ... BS2DR (DBS2DR) Evaluate the derivative of a two-dimensional tensor-product spline, given its te ... BS2GD (DBS2GD) Evaluate the derivative of a two-dimensional tensor-product spline, given its te ... BS2IG (DBS2IG) Evaluate the integral of a tensor-product spline on a rectangular domain, given ... BS2IN (DBS2IN) Compute a two-dimensional tensor-product spline interpolant, returning the tenso ... BS2VL (DBS2VL) Evaluate a two-dimensional tensor-product spline, given its tensor-product B-spl ... BS3DR (DBS3DR) Evaluate the derivative of a three-dimensional tensor-product spline, given its ... BS3GD (DBS3GD) Evaluate the derivative of a three-dimensional tensor-product spline, given its ... BS3IG (DBS3IG) Evaluate the integral of a tensor-product spline in three dimensions over a thre ... BS3IN (DBS3IN) Compute a three-dimensional tensor-product spline interpolant, returning the ten ... BS3VL (DBS3VL) Evaluate a three-dimensional tensor-product spline, given its tensor-product B-s ... BSCPP (DBSCPP) Convert a spline in B-spline representation to piecewise polynomial representati ... BSDER (DBSDER) Evaluate the derivative of a spline, given its B-spline representation. BSI0 (DBSI0) Modified Bessel function I0(x). BSI0E (DBSI0E) Exponentially scaled modified Bessel function exp(-x)I0(x). BSI1 (DBSI1) Modified Bessel function I1(x). BSI1E (DBSI1E) Exponentially scaled modified Bessel function exp(-x)I1(x). BSIES (DBSIES) Sequence of exponentially scaled modified Bessel functions exp(-x)Ir(x), for r r ... BSINS (DBSINS) Sequence of modified Bessel functions In(x). BSINT (DBSINT) Compute the spline interpolant, returning the B-spline coefficients. BSIS (DBSIS) Sequence of modified Bessel functions Ir(x), for r nonnegative real and x positi ... BSITG (DBSITG) Evaluate the integral of a spline, given its B-spline representation. BSJ0 (DBSJ0) Bessel function J0(x). BSJ1 (DBSJ1) Bessel function J1(x). BSJNS (DBSJNS) Sequence of Bessel functions Jn(x). BSJS (DBSJS) Sequence of Bessel functions Jr(x), for r real and positive. BSK0 (DBSK0) Bessel function K0(x). BSK0E (DBSK0E) Exponentially scaled modified Bessel function exp(x)K0(x). BSK1 (DBSK1) Bessel function K1(x). BSK1E (DBSK1E) Exponentially scaled modified Bessel function exp(x)K1(x). BSKES (DBSKES) Sequence of exponentially scaled modified Bessel functions exp(x)Kr(x), for real ... BSKS (DBSKS) Sequence of modified Bessel functions Kr(x), for real r. BSLS2 (DBSLS2) Compute a two-dimensional tensor-product spline approximant using least-squares, ... BSLS3 (DBSLS3) Compute a three-dimensional tensor-product spline approximant using least square ... BSLSQ (DBSLSQ) Compute a B-spline least-squares spline approximation to given data. BSNAK (DBSNAK) Compute the "not-a-knot" spline knot sequence. BSOPK (DBSOPK) Compute the optimal spline knot sequence. BSVAL (DBSVAL) Evaluate a spline, given its B-spline representation. BSVLS (DBSVLS) Compute the variable knot B-spline least-squares approximation to given data. BSY0 (DBSY0) Bessel function Y0(x). BSY1 (DBSY1) Bessel function Y1(x). BSYS (DBSYS) Sequence of Bessel functions Yr(x), for real nonnegative r and positive x. BVPFD (DBVPFD) Solve a system of differential equations with boundary conditions at two points, ... BVPMS (DBVPMS) Solve a system of differential equations with boundary conditions at two points, ... CACOS Arccos(z). CACOSH Arccosh(z). CADD Add a scalar to each component of a vector, x = x + a, all complex. CARG Argument of a complex number. CASIN Arcsin(z). CASINH Arcsinh(z). CATAN Arctan(z). CATAN2 Arctan(z1/z2). CATANH Arctanh(z). CAXPY Compute a scalar times a vector plus a vector, y = ax + y, all complex. CBETA Complex complete beta function. CBINS Sequence of modified Bessel functions In(z). CBIS (DCBIS) Evaluate a sequence of Modified Bessel functions of the first kind with real ord ... CBJNS Sequence of Bessel functions Jn(z). CBJS (DCBJS) Evaluate a sequence of Bessel functions of the first kind with real order and co ... CBKS (DCBKS) Evaluate a sequence of Modified Bessel functions of the second kind with real or ... CBRT (DCBRT) Cube root of a real argument. CBYS (DCBYS) Evaluate a sequence of Bessel functions of the second kind with real order and c ... CCBCB Copy a complex band matrix stored in complex band storage mode. CCBCG Convert a complex matrix in band storage mode to a complex matrix in full storag ... CCBRT Cube root of a complex argument. CCGCB Convert a complex matrix in full storage mode to a matrix in complex band storag ... CCGCG Copy a complex general matrix. CCONV (DCCONV) Compute the convolution of two complex vectors. CCOPY Copy a vector X to a vector Y, both complex. CCORL (DCCORL) Compute the correlation of two complex vectors. CCOSH Cosh(z). CCOT Cotan(z). CDGRD (DCDGRD) Approximate the gradient using central differences. CDOTC Compute the complex conjugate dot product, conjg(x)*y. CDOTU Compute the complex dot product x*y. CEJCN (DCEJCN) Evaluate the complex Jacobi elliptic function cn(z,m). CEJDN (DCEJDN) Evaluate the complex Jacobi elliptic function dn(z,m). CEJSN (DCEJSN) Evaluate the complex Jacobi elliptic function sn(z,m). CERFE Complex scaled complementary error function. CEXPRL (exp(z)-1)/z. CGAMMA Complex gamma function. CGAMR 1/gamma(z). CGBMV (ZGBMV) Perform one of the matrix-vector operations: y = alpha*A*x + beta*y, y = alpha*t ... CGEMM (ZGEMM) Perform one of the following matrix-matrix multiplications: C=alpha*A*B + beta*C ... CGEMV (ZGEMV) Perform one of the matrix-vector multiplications: y = alpha*A*x + beta*y y = alp ... CGERC (ZGERC) Perform the rank-one matrix update: A = A + alpha*x*ctrans(y), where ctrans(y) i ... CGERU (ZGERU) Perform the rank-one matrix update: A = A + alpha*x*trans(y), where trans(y) is ... CHBCB Copy a complex Hermitian band matrix stored in band Hermitian storage mode to a ... CHBMV (ZHBMV) Perform the matrix-vector operation y = alpha*A*x + beta*y, where A is a Hermiti ... CHEMM (ZHEMM) Perform one of the matrix-matrix operations: C = alpha*A*B + beta*C, or C = alp ... CHEMV (ZHEMV) Perform the matrix-vector multiplication y = alpha*A*x + beta*y, where A is a He ... CHER (ZHER) Perform the rank-one matrix update A = A + alpha*x*ctrans(x) to the Hermitian ma ... CHER2 (ZHER2) Perform a rank-two matrix update to the Hermitian matrix A, A = A + alpha*x*ctra ... CHER2K (ZHER2K) Perform one of the Hermitian rank 2k operations C = alpha*A*ctrans( B ) + conjg ... CHERK (ZHERK) Perform one of the Hermitian rank k operations C = alpha*A*ctrans( A ) + beta*C ... CHFCG Extend a complex Hermitian matrix defined in its upper triangle to its lower tri ... CHGRD (DCHGRD) Check a user-supplied gradient of a function. CHHES (DCHHES) Check a user-supplied Hessian of an analytic function. CHI (DCHI) Hyperbolic cosine integral. CHJAC (DCHJAC) Check a user-supplied Jacobian of a system of equations with M functions in N un ... CI (DCI) Cosine integral. CIN (DCIN) Evaluate a function closely related to the cosine integral. CINH (DCINH) Evaluate a function closely related to the hyperbolic cosine integral. CLBETA Complex logarithm of the complete beta function. CLNGAM Ln(gamma(z)). CLNREL Ln(1+z). CLOG10 Log(z). CONFT (DCONFT) Compute the least-squares constrained spline approximation, returning the B-spli ... CONST (DCONST) Various mathematical and physical constants. COSDG (DCOSDG) Cos(x), x in degrees. COT (DCOT) Cotan(x). CPSEC Return CPU time used in seconds. CPSI Logarithmic derivative of the gamma function for a complex argument. CRBCB Convert a real matrix in band storage mode to a complex matrix in band storage m ... CRBRB (DCRBRB) Copy a real band matrix stored in band storage mode. CRBRG (DCRBRG) Convert a real matrix in band storage mode to a matrix in full storage mode. CRGCG Copy a real general matrix to a complex general matrix. CRGRB (DCRGRB) Convert a real matrix in full storage mode to a matrix in band storage mode. CRGRG (DCRGRG) Copy a real general matrix. CRRCR Copy a real rectangular matrix to a complex rectangular matrix. CS1GD (DCS1GD) Evaluate the derivative of a cubic spline on a grid. CSAKM (DCSAKM) Compute the Akima cubic spline interpolant. CSBRB (DCSBRB) Copy a real symmetric band matrix stored in band symmetric storage mode to a rea ... CSCAL Multiply a vector by a scalar, y = ay, both complex. CSCON (DCSCON) Compute a cubic spline interpolant that is consistent with the concavity of the ... CSDEC (DCSDEC) Compute the cubic spline interpolant with specified derivative endpoint conditio ... CSDER (DCSDER) Evaluate the derivative of a cubic spline. CSET Set the components of a vector to a scalar, all complex. CSEVL Evaluate a series of Chebyshev polynomials. CSFRG (DCSFRG) Extend a real symmetric matrix defined in its upper triangle to its lower triang ... CSHER (DCSHER) Compute a Hermite cubic spline interpolant. CSIEZ (DCSIEZ) Compute the cubic spline interpolant with the "not-a-knot" condition and return ... CSINH Sinh(z). CSINT (DCSINT) Compute the cubic spline interpolant with the "not-a-knot" condition. CSITG (DCSITG) Evaluate the integral of a cubic spline. CSPER (DCSPER) Compute the cubic spline interpolant with periodic boundary conditions. CSROT Apply a complex Givens plane rotation. CSROTM Apply a complex modified Givens plane rotation. CSSCAL Multiply a complex vector by a single-precision scalar, y = ay. CSSCV (DCSSCV) Compute a smooth cubic spline approximation to noisy data using cross-validation ... CSSED (DCSSED) Smooth one-dimensional data by error detection. CSSMH (DCSSMH) Compute a smooth cubic spline approximation to noisy data. CSUB Subtract each component of a vector from a scalar, x = a - x, all complex. CSVAL (DCSVAL) Evaluate a cubic spline. CSVCAL Multiply a complex vector by a single-precision scalar and store the result in a ... CSWAP Interchange vectors X and Y, both complex. CSYMM (ZSYMM) Perform one of the matrix-matrix operations: C = alpha*A*B + beta*C, or C = alp ... CSYR2K (ZSYR2K) Perform one of the symmetric rank 2k operations C = alpha*A*trans(B) + alpha*B* ... CSYRK (ZSYRK) Perform one of the symmetric rank k operations C = alpha*A*trans(A) + beta*C, o ... CTAN Tan(z). CTANH Tanh(z). CTBMV (ZTBMV) Perform one of the matrix-vector operations: x = A*x, x = trans(A)*x, x = ctrans ... CTBSV (ZTBSV) Solve one of the triangular systems, x = inv(A)*x, x = inv(trans(A))*x, x = inv( ... CTRMM (ZTRMM) Perform one of the matrix-matrix operations: B = alpha*op( A )*B, or B = alpha* ... CTRMV (ZTRMV) Perform one of the matrix-vector operations: x = A*x, x = trans(A)*x, or x = ctr ... CTRSM (ZTRSM) Solve one of the matrix equations: op( A )*X = alpha*B, or X*op( A ) = alpha*B, ... CTRSV (ZTRSV) Solve one of the triangular systems, x = inv(A)*x, x = inv(trans(A))*x, or x = i ... CUNIT (DCUNIT) Convert X in units XUNITS to Y in units YUNITS. CVCAL Multiply a vector by a scalar and store the result in another vector, y = ax, al ... CVTSI Convert a character string containing an integer number into the corresponding i ... CWPL Weierstrass P-function with primitive half-periods 1/2 [AMS55 (18.1)]. The corre ... CWPLD First derivative of CWPL. CWPQ Weierstrass P-function in the equianharmonic case for complex argument with unit ... CWPQD First derivative of CWPQ. CZCDOT Compute the sum of a complex scalar plus a complex conjugate dot product, a + co ... CZDOTA Compute the sum of a complex scalar, a complex dot product and the double-comple ... CZDOTC Compute the complex conjugate dot product, conjg(x)*y, using a double-precision ... CZDOTI Compute the sum of a complex scalar plus a complex dot product using a double-co ... CZDOTU Compute the complex dot product x*y using a double-precision accumulator. CZUDOT Compute the sum of a complex scalar plus a complex dot product, a + x*y, using a ... DACOSH (ACOSH) Arccosh(x), for double-precision x. DADD (SADD) Add a scalar to each component of a vector, x = x + a, all single-precision. DAI (AI) Airy function Ai(x). DAID (AID) Derivative of the Airy function Ai(x). DAIDE (AIDE) Exponentially scaled derivative of the Airy function exp(x)dAi(x)/dx. DAIE (AIE) Exponentially scaled Airy function exp(x)Ai(x). DARBRB (ARBRB) Add two band matrices, both in band storage mode. DASINH (ASINH) Arcsinh(x), for double-precision x. DASPG (DDASPG) Solve a first-order differential-algebraic system of equations, g(t,y,y')=0, usi ... DASUM (SASUM) Compute double-precision sum of absolute values of a single-precision vector. DATANH (ATANH) Arctanh(x), for double-precision x. DAWS (DDAWS) Dawson's integral. DAXPY (SAXPY) Compute the scalar times a vector plus a vector, y = ax + y, all double precisio ... DBCLSF (BCLSF) Solve a nonlinear least-squares problem subject to bounds on the variables using ... DBCLSJ (BCLSJ) Solve a nonlinear least-squares problem subject to bounds on the variables using ... DBCOAH (BCOAH) Minimize a function of N variables subject to bounds on the variables using a mo ... DBCODH (BCODH) Minimize a function of N variables subject to bounds on the variables using a mo ... DBCONF (BCONF) Minimize a function of N variables subject to bounds on the variables using a qu ... DBCONG (BCONG) Minimize a function of N variables subject to bounds on the variables using a qu ... DBCPOL (BCPOL) Minimize a function of N variables subject to bounds on the variables using a di ... DBEI0 (BEI0) Kelvin function bei, of order zero. DBEI1 (BEI1) Kelvin function bei, of order one. DBEIP0 (BEIP0) Derivative of the Kelvin function bei, of order zero. DBER0 (BER0) Kelvin function ber, of order zero. DBER1 (BER1) Kelvin function ber, of order one. DBERP0 (BERP0) Derivative of the Kelvin function ber, of order zero. DBETAI (BETAI) Incomplete beta function. DBI (BI) Airy function Bi(x). DBID (BID) Derivative of the Airy function Bi(x). DBIDE (BIDE) Exponentially scaled derivative of the Airy function exp(-x)dBi(x)/dx. DBIE (BIE) Exponentially scaled Airy function exp(-x)Bi(x). DBLINF (BLINF) Compute the bilinear mode transpose(x)*A*y. DBS1GD (BS1GD) Evaluate the derivative of a spline on a grid, given its B-spline representation ... DBS2DR (BS2DR) Evaluate the derivative of a two-dimensional tensor-product spline, given its te ... DBS2GD (BS2GD) Evaluate the derivative of a two-dimensional tensor-product spline, given its te ... DBS2IG (BS2IG) Evaluate the integral of a tensor-product spline on a rectangular domain, given ... DBS2IN (BS2IN) Compute a two-dimensional tensor-product spline interpolant, returning the tenso ... DBS2VL (BS2VL) Evaluate a two-dimensional tensor-product spline, given its tensor-product B-spl ... DBS3DR (BS3DR) Evaluate the derivative of a three-dimensional tensor-product spline, given its ... DBS3GD (BS3GD) Evaluate the derivative of a three-dimensional tensor-product spline, given its ... DBS3IG (BS3IG) Evaluate the integral of a tensor-product spline in three dimensions over a thre ... DBS3IN (BS3IN) Compute a three-dimensional tensor-product spline interpolant, returning the ten ... DBS3VL (BS3VL) Evaluate a three-dimensional tensor-product spline, given its tensor-product B-s ... DBSCPP (BSCPP) Convert a spline in B-spline representation to piecewise polynomial representati ... DBSDER (BSDER) Evaluate the derivative of a spline, given its B-spline representation. DBSI0 (BSI0) Modified Bessel function I0(x). DBSI0E (BSI0E) Exponentially scaled modified Bessel function exp(-x)I0(x). DBSI1 (BSI1) Modified Bessel function I1(x). DBSI1E (BSI1E) Exponentially scaled modified Bessel function exp(-x)I1(x). DBSIES (BSIES) Sequence of exponentially scaled modified Bessel functions exp(-x)Ir(x), for r r ... DBSINS (BSINS) Sequence of modified Bessel functions In(x). DBSINT (BSINT) Compute the spline interpolant, returning the B-spline coefficients. DBSIS (BSIS) Sequence of modified Bessel functions Ir(x), for r nonnegative real and x positi ... DBSITG (BSITG) Evaluate the integral of a spline, given its B-spline representation. DBSJ0 (BSJ0) Bessel function J0(x). DBSJ1 (BSJ1) Bessel function J1(x). DBSJNS (BSJNS) Sequence of Bessel functions Jn(x). DBSJS (BSJS) Sequence of Bessel functions Jr(x), for real and positive r. DBSK0 (BSK0) Bessel function K0(x). DBSK0E (BSK0E) Exponentially scaled modified Bessel function exp(x)K0(x). DBSK1 (BSK1) Bessel function K1(x). DBSK1E (BSK1E) Exponentially scaled modified Bessel function exp(x)K1(x). DBSKES (BSKES) Sequence of exponentially scaled modified Bessel functions exp(x)Kr(x), for real ... DBSKS (BSKS) Sequence of modified Bessel functions Kr(x), for real r. DBSLS2 (BSLS2) Compute a two-dimensional tensor-product spline approximant using least-squares, ... DBSLS3 (BSLS3) Compute a three-dimensional tensor-product spline approximant using least square ... DBSLSQ (BSLSQ) Compute a B-spline least-squares spline approximation to given data. DBSNAK (BSNAK) Compute the "not-a-knot" spline knot sequence. DBSOPK (BSOPK) Compute the optimal spline knot sequence. DBSVAL (BSVAL) Evaluate a spline, given its B-spline representation. DBSVLS (BSVLS) Compute the variable knot B-spline least-squares to given data. DBSY0 (BSY0) Bessel function Y0(x). DBSY1 (BSY1) Bessel function Y1(x). DBSYS (BSYS) Sequence of Bessel functions Yr(x), for real nonnegative r and positive x. DBVPFD (BVPFD) Solve a system of differential equations with boundary conditions at two points, ... DBVPMS (BVPMS) Solve a system of differential equations with boundary conditions at two points, ... DCBIS (CBIS) Evaluate a sequence of Modified Bessel functions of the first kind with real ord ... DCBJS (CBJS) Evaluate a sequence of Bessel functions of the first kind with real order and co ... DCBKS (CBKS) Evaluate a sequence of Modified Bessel functions of the second kind with real or ... DCBRT (CBRT) Cube root of a double-precision real argument. DCBYS (CBYS) Evaluate a sequence of Bessel functions of the second kind with real order and c ... DCCONV (CCONV) Compute the convolution of two complex vectors. DCCORL (CCORL) Compute the correlation of two complex vectors. DCDGRD (CDGRD) Approximate the gradient using central differences. DCEJCN (CEJCN) Evaluate the complex Jacobi elliptic function cn(z,m). DCEJDN (CEJDN) Evaluate the complex Jacobi elliptic function dn(z,m). DCEJSN (CEJSN) Evaluate the complex Jacobi elliptic function sn(z,m). DCHGRD (CHGRD) Check a user-supplied gradient of a function. DCHHES (CHHES) Check a user-supplied Hessian of an analytic function. DCHI (CHI) Hyperbolic cosine integral. DCHJAC (CHJAC) Check a user-supplied Jacobian of a system of equations with M functions in N un ... DCI (CI) Cosine integral. DCIN (CIN) Evaluate a function closely related to the cosine integral. DCINH (CINH) Evaluate a function closely related to the hyperbolic cosine integral. DCONFT (CONFT) Compute the least-squares constrained spline approximation, returning the B-spli ... DCONST (CONST) Various mathematical and physical constants. DCOPY (SCOPY) Copy a vector X to a vector Y, both double-precision. DCOSDG (COSDG) Cos(x), for double-precision x in degrees. DCOT (COT) Cotan(x), for double-precision x. DCRBRB (CRBRB) Copy a real band matrix stored in band storage mode. DCRBRG (CRBRG) Convert a real matrix in band storage mode to a matrix in full storage mode. DCRGRB (CRGRB) Convert a real matrix in full storage mode to a matrix in band storage mode. DCRGRG (CRGRG) Copy a real general matrix. DCS1GD (CS1GD) Evaluate the derivative of a cubic spline on a grid. DCSAKM (CSAKM) Compute the Akima cubic spline interpolant. DCSBRB (CSBRB) Copy a real symmetric band matrix stored in band symmetric storage mode to a rea ... DCSCON (CSCON) Compute a cubic spline interpolant that is consistent with the concavity of the ... DCSDEC (CSDEC) Compute the cubic spline interpolant with specified derivative endpoint conditio ... DCSDER (CSDER) Evaluate the derivative of a cubic spline. DCSFRG (CSFRG) Extend a real symmetric matrix defined in its upper triangle to its lower triang ... DCSHER (CSHER) Compute a Hermite cubic spline interpolant. DCSIEZ (CSIEZ) Compute the cubic spline interpolant with the `not-a-knot' condition and return ... DCSINT (CSINT) Compute the cubic spline interpolant with the 'not-a-knot' condition. DCSITG (CSITG) Evaluate the integral of a cubic spline. DCSPER (CSPER) Compute the cubic spline interpolant with periodic boundary conditions. DCSSCV (CSSCV) Compute a smooth cubic spline approximation to noisy data using cross-validation ... DCSSED (CSSED) Smooth one-dimensional data by error detection. DCSSMH (CSSMH) Compute a smooth cubic spline approximation to noisy data. DCSVAL (CSVAL) Evaluate a cubic spline. DCUNIT (CUNIT) Convert X in units XUNITS to Y in units YUNITS. DDASPG (DASPG) Solve a first order differential-algebraic system of equations, g(t,y,y')=0, usi ... DDAWS (DAWS) Double-precision Dawson integral. DDERIV (DERIV) Compute the first, second or third derivative of a user-supplied function. DDISL1 (DISL1) Compute the 1-norm distance between two points. DDISL2 (DISL2) Compute the Euclidean (2-norm) distance between two points. DDISLI (DISLI) Compute the infinity norm distance between two points. DDLPRS (DLPRS) Solve a linear programming problem via the revised simplex algorithm. DDOT (SDOT) Compute double-precision dot product x*y. DE1 (E1) Exponential integral for arguments greater than zero and the Cauchy principle va ... DEI (EI) Exponential integral for arguments greater than zero and the Cauchy principle va ... DEJCN (EJCN) Evaluate the Jacobi elliptic function cn(x,m). DEJDN (EJDN) Evaluate the Jacobi elliptic function dn(x,m). DEJSN (EJSN) Evaluate the Jacobi elliptic function sn(x,m). DELE (ELE) Complete elliptic integral E(m), see [AMS55 (17.3.3)]. DELK (ELK) Complete elliptic integral K(m), see [AMS55 (17.3.1)]. DELRC (ELRC) Carlson's incomplete elliptic integral RC(x,y). DELRD (ELRD) Carlson's incomplete elliptic integral RD(x,y,z). DELRF (ELRF) Carlson's incomplete elliptic integral RF(x,y,z). DELRJ (ELRJ) Carlson's incomplete elliptic integral RJ(x,y,z,p). DENE (ENE) Exponential integral of integer order for arguments greater than zero scaled by ... DEPISB (EPISB) Compute the performance index for a real symmetric eigensystem in band symmetric ... DEPISF (EPISF) Compute the performance index for a real symmetric eigensystem. DERF (ERF) Double-precision error function, = (2 / square root of pi) * the integral from 0 ... DERFC (ERFC) Double-precision complementary error function, = (2 / square root of pi) * the i ... DERFCE (ERFCE) Exponentially scaled complementary error function. DERFCI (ERFCI) Inverse complementary error function. DERFI (ERFI) Inverse error function. DERIV (DDERIV) Compute the first, second or third derivative of a user-supplied function. DEVASB (EVASB) Compute the largest or smallest eigenvalues of a real symmetric matrix in band s ... DEVASF (EVASF) Compute the largest or smallest eigenvalues of a real symmetric matrix. DEVBSB (EVBSB) Compute the eigenvalues in a given range of a real symmetric matrix stored in ba ... DEVBSF (EVBSF) Compute the eigenvalues in a given range of a real symmetric matrix. DEVCSB (EVCSB) Compute all of the eigenvalues and eigenvectors of a real symmetric matrix in ba ... DEVCSF (EVCSF) Compute all of the eigenvalues and eigenvectors of a real symmetric matrix. DEVESB (EVESB) Compute the largest or smallest eigenvalues and the corresponding eigenvectors o ... DEVESF (EVESF) Compute the largest or smallest eigenvalues and the corresponding eigenvectors o ... DEVFSB (EVFSB) Compute the eigenvalues in a given range and the corresponding eigenvectors of a ... DEVFSF (EVFSF) Compute the eigenvalues in a given range and the corresponding eigenvectors of a ... DEVLSB (EVLSB) Compute all of the eigenvalues of a real symmetric matrix in band symmetric stor ... DEVLSF (EVLSF) Compute all of the eigenvalues of a real symmetric matrix. DEXPRL (EXPRL) (exp(x)-1)/x, for double-precision x. DFAC (FAC) Factorial. Input is integer; output is double-precision. DFCOST (FCOST) Discrete Fourier cosine transformation of an even sequence. DFDGRD (FDGRD) Approximate the gradient using forward differences. DFDHES (FDHES) Approximate the Hessian using forward differences and function values. DFDJAC (FDJAC) Approximate the Jacobian of M functions in N unknowns using forward differences. DFFT3B (FFT3B) Compute the inverse Fourier transform of a complex periodic three-dimensional ar ... DFFT3F (FFT3F) Compute Fourier coefficients of a complex periodic three-dimensional array. DFFTRB (FFTRB) Compute the real periodic sequence from its Fourier coefficients. DFFTRF (FFTRF) Compute the Fourier coefficients of a real periodic sequence. DFNLSQ (FNLSQ) Least-squares approximation with user-supplied basis functions. DFPS2H (FPS2H) Solve Poisson's or Helmholtz's equation on a two-dimensional rectangle using a f ... DFPS3H (FPS3H) Solve Poisson's or Helmholtz's equation on a three-dimensional box using a fast ... DFQRUL (FQRUL) Compute a Fejer quadrature rule with various classical weight functions. DFRESC (FRESC) Evaluate the cosine Fresnel integral. DFRESS (FRESS) Evaluate the sine Fresnel integral. DFSINT (FSINT) Discrete Fourier cosine transformation of an odd sequence. DGAMI (GAMI) Incomplete gamma function. DGAMIC (GAMIC) Complementary incomplete gamma function. DGAMIT (GAMIT) Tricomi's incomplete gamma function, for double-precision argument. DGAMMA (GAMMA) gamma(x), for double-precision x. DGAMR (GAMR) 1/gamma(x), for double-precision x. DGBMV (SGBMV) Perform one of the matrix-vector operations: y = alpha*A*x + beta*y or y = alpha ... DGDHES (GDHES) Approximate the Hessian using forward differences and a user-supplied gradient. DGEMM (SGEMM) Perform one of the following matrix-matrix multiplications: C = alpha*A*B + beta ... DGEMV (SGEMV) Perform one of the matrix-vector operations: y = alpha*A*x + beta*y or y = alpha ... DGGUES (GGUES) Generate points in an N-dimensional space. DGPISP (GPISP) Compute the performance index for a generalized real symmetric eigensystem probl ... DGQRCF (GQRCF) Compute a Gauss, Gauss-Radau or Gauss-Lobatto quadrature rule given the recurren ... DGQRUL (GQRUL) Compute a Gauss, Gauss-Radau or Gauss-Lobatto quadrature rule with various class ... DGVCSP (GVCSP) Compute all of the eigenvalues and eigenvectors of the generalized real symmetri ... DGVLSP (GVLSP) Compute all of the eigenvalues of the generalized real symmetric eigenvalue prob ... DHPROD (SHPROD) Compute the Hadamard product of two single-precision vectors. DHRRRR (HRRRR) Compute the Hadamard product of two real matrices. DHYPOT (HYPOT) SQRT(A**2+B**2) without underflow or overflow. DISL1 (DDISL1) Compute the 1-norm distance between two points. DISL2 (DDISL2) Compute the Euclidean (2-norm) distance between two points. DISLI (DDISLI) Compute the infinity norm distance between two points. DIVPAG (IVPAG) Solve an initial-value problem for ordinary differential equations using an Adam ... DIVPRK (IVPRK) Solve an initial-value problem for ordinary differential equations using the Run ... DJCGRC (JCGRC) Solve a real symmetric definite linear system using the Jacobi-preconditioned co ... DKEI0 (AKEI0) Kelvin function kei0(x). DKEI1 (AKEI1) Kelvin function kei1(x). DKEIP0 (AKEIP0) Derivative of the Kelvin function kei0(x). DKER0 (AKER0) Kelvin function ker1(x). DKER1 (AKER1) Kelvin function ker1(x). DKERP0 (AKERP0) Derivative of the Kelvin function ker0(x). DLBETA (ALBETA) Logarithm of the complete beta function for positive arguments. DLCHRG (LCHRG) Compute the Cholesky decomposition of a symmetric positive semidefinite matrix w ... DLCLSQ (LCLSQ) Solve a linear least-squares problem with linear constraints. DLCONF (LCONF) Minimize a general objective function subject to linear equality/inequality cons ... DLCONG (LCONG) Minimize a general objective function subject to linear equality/inequality cons ... DLDNCH (LDNCH) Downdate the transpose(R)*R Cholesky factorization of a real symmetric positive ... DLFCDS (LFCDS) Compute the transpose(R)*R Cholesky factorization of a real symmetric positive d ... DLFCQS (LFCQS) Compute the Cholesky factorization of a real symmetric positive definite matrix ... DLFCRB (LFCRB) Compute the LU factorization of a real matrix in band storage mode and estimate ... DLFCRG (LFCRG) Compute the LU factorization of a real general matrix and estimate its L1 condit ... DLFCRT (LFCRT) Estimate the condition number of a real triangular matrix. DLFCSF (LFCSF) Compute the U*D*transpose(U) factorization of a real symmetric matrix and estima ... DLFDDS (LFDDS) Compute the determinant of a real symmetric positive definite matrix given the t ... DLFDQS (LFDQS) Compute the determinant of a real symmetric positive definite matrix in band sym ... DLFDRB (LFDRB) Compute the determinant of a real matrix in band storage mode given the LU facto ...