NESC0562 AMDLIBAE (Abstract last modified 01-MAR-1980)
1.
NAME OR DESIGNATION OF PROGRAM - AMDLIBAE 2.
COMPUTER FOR WHICH PROGRAM IS DESIGNED AND OTHER MACHINE VERSION PACKAGES AVAILABLE -
To request or retrieve programs click on the one of the active versions below.
A password and special authorization is required. Explanation of the status codes.
Machines used:
Package-ID Orig.Computer Test Computer
NESC0562/01 IBM 3033 IBM 3033
3.
DESCRIPTION OF PROBLEM OR FUNCTION - AMDLIBAE is a subset of the 4.
METHOD OF SOLUTION - 5.
RESTRICTIONS ON THE COMPLEXITY OF THE PROBLEM - 6.
TYPICAL RUNNING TIME - 7.
UNUSUAL FEATURES OF THE PROGRAM - 8.
RELATED AND AUXILIARY PROGRAMS - AMDLIBF (NESC Abstract 563) and 9.
STATUS 10.
REFERENCES - 11.
MACHINE REQUIREMENTS - 12.
PROGRAMMING LANGUAGE(S) USED - 13.
OPERATING SYSTEM UNDER WHICH PROGRAM IS EXECUTED - OS/360 Release 14.
OTHER PROGRAMMING OR OPERATING INFORMATION OR RESTRICTIONS - 15.
NAME AND ESTABLISHMENT OF AUTHOR - 16.
MATERIAL AVAILABLE - 17.
CATEGORIES - Keywords: DIFFERENTIAL EQUATIONS, ELEMENTARY FUNCTIONS, INTERPOLATION, POLYNOMIALS, QUADRATURES, SPECIAL FUNCTIONS
Program-name Package-ID Status
AMDLIBAE NESC0562/01 Tested
IBM 360 Subroutine Library at the Applied Mathematics Division at
Argonne National Laboratory. This subset includes library
categories A-E:
IDENTIFICATION DESCRIPTION
A152S A MPA Mult. prec. floating point arith. package
B156S A ARSIN Arcsine, arccosine
B158S A DSIN/DCOS DP sine, cosine
B159S A DTAN/DCOT DP tangent, cotangent
B252S A SINH/COSH Hyperbolic sine, cosine
B353S A ALOG SP logarithm
B354S A DEXP DP exponential
B355S A DLOG DP logarithm
B456S A DCUBRT DP cube root
B457S A ARGPOWER X**Y
B458S A ARGFDXPD DP X**Y
C150S F DQD Q. D. algorithm applied to a power series
C151S F DCONF1 Eval. cont. fract. Q. D. of power series
C250S F CUBIC Roots of cubic polynomial equation
C251S F QUARTIC Roots of quartic polynomial equation
C252S F RSSR All roots of poly eqs. with real coef.
C253S F POLDRV Driver for C254S
C254S F CPOLY Roots arb. poly. Jenkins-Traub algorithm
C353S F1 CLEBSH Ang. mom. coef. - Clebsch, Racah, Wigner
C365S A ALGAMA Logarithm of the gamma function
C366S A DGAMMA/DLGAMA DP gamma and log(gamma) functions
C368S F EONE Exponential integral E1
C370S F BESJY Bessel functions J and Y
C371S F BESIK Bessel functions I and K
C372S F CHIPRB Chi-square integral
C380S F DRZETA Long precision zeta, zeta-1 functions
C382S F DCGAM Long precision complex gamma
C383S A DERF/DERFC DP error function
C384S F BFJ1 Bessel function J1
C385S F COULMB Regular Coulomb wave functions
C386S F1 DSGMAL Coulomb phase shift
C387S F BFJYR Bessel functions J0,J1,Y0,Y1
C388S F IRCOUL LP irregular Coulomb wave functions
C389S F GAMIN Incomplete gamma function
C390S F LQ Assoc. Legendre functions of 2nd. kind
C392S A DAERF Inverse error function
C393S F CDEONE Modified complex exponential integral
D153S F DROMB Two-dimensional Romberg quadrature
D153S P DROMBP Two-dimensional Romberg quadrature
D158S F ANC4 Adap. quad. using 4-th order Newton-Cotes
D158S P ANC4P Adap. quad. using 4-th order Newton-Cotes
D161S F GAUSS Arbitrary Gaussian weights and nodes
D162S F SQUANK Simpson's quad. used adaptively
D252S F DDFSUB DP Neville or Stoer sol. lin. dif. eqns.
D253S F DDFSYS Driver for D252S
D255S F DFBND Stoer sol. dif. eqs. with error bounds
D256S F DFBDRV Driver for D255S
D257S F GEARDV Gear's sol. of init. value problem
D452S F ENDACE Numerical derivatives real analytic fn.
E206S F LSQPOL Least squares weighted polynomial fit
E208S F1 Arbitrary function fit, least squares
E209S F CALLSQ Driver for E206S
E212S F General least squares fit + fnction eval.
E250S F VA02A Least squares funct. min. w/o derivatives
E252S F MINMAX Chebyshev line fit
E253S F Arbitrary functional fit II
E256S F BGPOL Least squares fit with polynomials
E257S F BGLSSQ Least squares fit with arbitrary function
E350S F SMOOTH Smoothing by cubic splines
AMDLIBGZ (NESC Abstract 564).
NESC0562/01: 01-MAR-1980 Tested at NEADB
- B.T. Smith:
The ANL-AMD Subroutine Library (ACC 562, 563, and 564),
ACC Programming Note 73-5 (September 1, 1972).
- ANL-AMD System/360 Library Subroutine Descriptions:
- K.E. Hillstrom:
MPA, Multiple-precision Floating-point Arithmetic Package for the
System/360
ANL A152S (November 1971).
- W.J. Cody and K. Paciorek:
ARGARSIN, OS/360 FORTRAN IV Systems Subroutine for Arcsine,
Arccosine Function (Single Precision),
ANL B156S, (February 1969).
- K. Hillstrom and J. Wang:
DSIN/DCOS, OS/360 FORTRAN IV Compatible Routine for the Sine and
Cosine Function
ANL B158S (Ocotber 1969) Rev. (July 1975).
- K. Hillstrom and J. Wang:
DTAN/DCOTAN, FORTRAN IV Compatible Routine for the Tangent and
Cotangent Function
ANL B159S (October 1969) Rev. (July 1975).
- W.J. Cody and K. Paciorek:
ARGSINH, OS/360 FORTRAN IV Library Routine for Hyperbolic Sine and Cosine Functions (Single-precision)
ANL B252S (February 1969).
- Nancy W. Clark:
ALOG, OS/360 FORTRAN IV Systems Routine for Natural or Base 10 DP
Logarithms
ANL B353S (February 1969).
- Nancy Clark:
DEXP, OS/360 FORTRAN IV Systems Routine for Double-precision E**X
ANL B354S (February 1969).
- Nancy W. Clark:
DLOG, FORTRAN IV Systems Routine for Natural or Base 10 DP
Logarithms
ANL B355S (February 1969).
- Kathleen A. Paciorek:
DOUBRT, System/360 Assembly Language Subroutine which Computes the DP Cube Root of a Normalized DP Floating Point Argument
ANL B456S (October 1967).
- Donald F. Jordan and J. Cody:
ARGPOWER, IBM S/360 FORTRAN IV Single-precision Power Function
ANL B457S (January 1968) (Rev. February 1969 and October 1974).
- N.A. Clark, W.J. Cody, and K.A. Paciorek:
ARGFDXPD, IBM S/360 FORTRAN IV DP Power Function
ANL B458S (May 1969), Rev. (October 1974).
- H.C. Thacher, Jr. and Kathleen A. Paciorek:
DQD, DP FORTRAN IV Quotient-Difference Algorithm
ANL C150S (July 1969).
-H.C. Thacher, Jr. and Kathleen A. Paciorek:
DCONF1, DP FORTRAN IV Routine to Evaluate an S-fraction
ANL C151S (July 1969).
- Burton S. Garbow:
CUBIC, Roots of Cubic Polynomial Equations
ANL C250S (December 1967), Rev. (September 1977).
- Burton S. Garbow:
QUARTI, Roots of Quartic Polynomial Equations
ANL C251S (December 1967).
- Burton S. Garbow:
RSSR, Zeroes of Polynomials with Real Coefficients
ANL C252S (July 1968) Rev. (December 1968, April 1977).
- K. Paciorek:
POLDRV, FORTRAN IV Double-precision Driver for ANL C254S
ANL C253S (April 1969).
- Kathleen Paciorek:
CPOLY,RPOLY,BNDZRO, A FORTRAN IV Double-precision Polynomial
Rootfinder Package
ANL C254S (April 1969).
- S. Pieper:
CLEBSH, Clebsch-Gordan, Racah, Wigner 3J, Wigner 6J, and Wigner 9J Coefficients
ANL C353S (June 1977).
- K. Hillstrom:
ALGAMA, FORTRAN IV Compatible Routine for the Natural Log of the
Real Gamma Function
ANL C365S (March 1967).
- K. Hillstrom:
DGAMMA/DLGAMA, OS/360 FORTRAN IV Compatible Routine for the Gamma
Function and the Natural Log of the Gamma Function
ANL C366S (May 1969) Rev. (April 1973 and November 1974).
- Donald F. Jordan:
EONE, Exponential Integral
ANL C368S (March 1968).
- Donald F. Jordan:
BESJY, Bessel Functions
ANL C370S (October 1967).
- Donald F. Jordan:
BESIK, Bessel Functions
ANL C371S (November 1967).
- Kathleen Paciorek:
CHIPRB, FORTRAN IV Double-precision Subroutine which Finds the
Probability that X**2 for N Degrees of Freedom Exceeds X
ANL C372S (January 1968).
- K. Hillstrom:
DRZETA, FORTRAN IV (H) Routine for the Riemann Zeta Function
ZETA(S) or ZETA(S)-1
ANL C380S (October 1970).
- K. Hillstrom and H. Kuki:
DCGAM/DCLGAM/CDGAMA/CDLGAM, OS/360 FORTRAN IV(H) Routine for the
Double-precision Complex Gamma and Log Gamma Functions
ANL C382S-1 (November 1970).
- K. Hillstrom and J. Wang:
DERF/DERFC, OS/360 FORTRANIV Compatible Routine for the Error
Function and the Complementary Error Function
ANL C383S (March 1969) Rev. (July 1975).
- K. Hillstrom:
BFJ1, OS/360 FORTRAN IV Routine for the Bessel Function of the
First Kind and Order
ANL C384S (April 1969).
- Kathleen A. Paciorek:
COULMB, A DP FORTRAN IV Routine to Calculate Regular Coulomb Wave Functions
ANL C385S (August 1969).
- K. Hillstrom:
DSGMAL, OS/360 FORTRAN IV(H) Routine for the Coulomb Phase Shift
SIGMAL(N), (L=0,1,2,...,N)
ANL C386S-2 (July 1970) Rev. (January 1975).
- J. Gregory:
BFJYR, OS/360 FORTRAN IV Routine for the Bessel Function of the
First and Second Kind and of Order Zero and Order One
ANL C387S (July 1970).
- A. Strecok and J. Wang:
IRCOUL, Irregular Coulomb Wave Functions GL(N,P)
ANL C388S (August 1970) Rev. (April 1976).
- A. Strecok:
GAMIN, OS/360 FORTRAN IV (H) DP Routine for the Incomplete Gamma
Function
ANL C389S (January 1971).
- A. Strecok:
LQ, A FORTRAN IV DP Routine for Associated Legendre Functions of
the Second Kind
ANL C390S (September 1971).
- P. Kinnucan and H. Kuki:
DAERF, A FORTRAN IV Double Precision Subroutine for the Inverses o the Error Function, the Complemented Error Function and the
Gaussian Function
ANL C392S (July 1976).
- A. Strecok:
CDEONE, Modified Complex Exponential Integral
ANL C393S (May 1972) Rev. (September 1976).
- K. Hillstrom:
DROMB, OS/360 FORTRAN IV Routine for Two-dimensional Romberg
Quadrature
ANL C153S (November 1968).
- K. Hillstrom:
DROMBP, OS/360 PL/I Routine for Two-dimensional Romberg Quadrature ANL D153S-P (July 1970).
- K. Hillstrom:
ANC4, OS/360 FORTRAN IV Routine for Adaptive Quadrature Using the
4th Newton-Cotes Formula
ANL D158S (November 1968).
- K. Hillstrom:
ANC4P, PL/I Routine for Adaptive Quadrature Based on the Newton-
Cotes 5-point Rule
ANL D158S-P (July 1970).
- K. Hillstrom and J. Wang:
GAUSS, OS/360 FORTRAN IV Routine for Gaussian Quadrature Formula
Generation
ANL D161S (December 1968) Rev. (September 1977).
- J.N. Lyness and K.E. Hillstrom:
SQUANK, FORTRAN IV Routine for Adaptive Simpson Rule Quadrature
ANL D162S (July 1970).
- Kathleen Paciorek:
DDFSUB, FORTRAN IV Subroutine which Performs One DP Integration
Step for a System of First-order Ordinary Differential Equations
ANL D252S (September 1968).
- Kathleen Paciorek:
DDFSYS, FORTRAN IV DP Routine which Provides Input/Output and
Control for Use with the DP Ordinary Differential Equations
ANL D253S (May 1967).
- Kathleen Paciorek:
DFBND-DIFI, FORTRAN IV Double-precision Routines which Estimate
the Error in the Bulirsch-Stoer Method for Solution of a System of First-order Ordinary Differential Equations
ANL D255S (October 1969).
- Kathleen A. Paciorek:
DFBDRV, FORTRAN IV DP Routine which Provides Input/Output and
Control for Use with the DP Routines ANL D255S DFBND-DIFI to
Integrate a System of First-order Ordinary Differential Equations
ANL D256S (October 1969).
- A. C. HindmarshL
GEARDV, Numerical Integration of an Initial Value Problem for a
System of Ordinary Differential Equations
ANL D257S (July 1975).
- J.N. Lyness:
ENDACE, Evaluate Numerical Differentiation and Corresponding Error ANL D452S (August 1976).
- Kathleen Paciorek:
LSQPOL, Least Square Polynomial Fit
ANL E206S (September 1967).
- K. Szabo and K. Hillstrom:
Arbitrary Functional Fit
ANL E208S-1 (January 1970).
- K. Paciorek:
CALLSQ, FORTRAN IV DP Routine which Provides Input/Output and
Control for Use with the DP Version of ANL E206S - LSQPOL to Do a Least Square Polynomial Fit
ANL E209S (September 1967).
- J. B. Cohen:
A General Program for the Evaluation of an Arbitrary Function, and for the Least Squares Determination of the Coefficients of a
Function, Linear in the Coefficients, InvolvingOne or More
Independent Variables
ANL E212S (January 1967).
- Burton S. Garbow:
VA02A,SV01A, Least Squares Functional Minimization without
Derivatives
ANL E250S (August 1968).
- Burton S. Garbow:
MINMAX, Chebyshev Line Fit
ANL E252S (October 1968).
- A. Meyer and I.K. Abu-Shumays:
Arbitrary Functional Fit II
ANL E253S (April 1969).
- K.E. Hillstrom and W.J. Cody:
BGPOL, Linear Least Squares Solution by Householder Transformation ANL E256S (December 1971).
- K. E. Hillstrom and W. J. Cody:
BGLSS, Least Squares Solutions of Systems of Linear Equations by
Orthogonal Householder Transformations with Statistical
Calculations
ANL E257S (December 1971).
- Burton S. Garbow and B. Garbow:
SMOOTH, Smoothing by Cubic Splines
ANL E350S (December 1968) Rev. (April 1975).
NESC0562/01:
NESC0562/01: FORTRAN-IV
19.6.
Contact Jesse Y. Wang, Program Librarian
Applied Mathematics Division
Argonne National Laboratory
9700 South Cass Avenue
Argonne, Illinois 60439
NESC0562/01:
NESC0562_01.001 SOURCE (F4,EBCDIC) 20067 records
- P. General Mathematical and Computing System Routines
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