Computer Programs
NESC0563 AMDLIBF
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NESC0563 AMDLIBF

AMDLIBF, IBM 360 Subroutine Library, Eigenvalues, Eigenvectors, Matrix Inversion

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1. NAME OR DESIGNATION OF PROGRAM:  AMDLIBF
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2. COMPUTERS
To submit a request, click below on the link of the version you wish to order. Rules for end-users are available here.
Program name Package id Status Status date
AMDLIBF NESC0563/01 Tested 01-MAR-1980

Machines used:

Package ID Orig. computer Test computer
NESC0563/01 IBM 3033 IBM 3033
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3. DESCRIPTION OF PROBLEM OR FUNCTION

AMDLIBF  is a  subset of  the
IBM 360 Subroutine Library at  the Applied Mathematics Division at
Argonne.  This subset includes library category F:
IDENTIFICATION          DESCRIPTION
F152S F  SYMINV         Invert sym. matrices, solve lin. systems
F154S A  DOTP           Double plus precision accum. inner prod.
F156S F  RAYCOR         Rayleigh corrections for eigenvalues
F161S F  XTRADP         A fast extended precision inner product
F162S A  XTRADP         Inner product of two DP real vectors
F202S F1 EIGEN          Eigensystem for real symmetric matrix
F203S F                 Driver for F202S
F248S F  RITZIT         Largest eigenval. & vec. real sym. matrix
F261S F  EIGINV         Inverse eigenvalue problem
F313S F  CQZHES         Reduce cmplx matrices to upper Hess & tri
F314S F  CQZVAL         Reduce complex matrix to upper Hess. form
F315S F  CQZVEC         Eigenvectors of cmplx upper triang. syst.
F316S F  CGG            Driver for complex general eigenproblem
F402S F  MATINV         Matrix inversion and sol. of linear eqns.
F403S F                 Driver for F402S
F452S F  CHOLLU,CHOLEQ  Sym. decomp. of pos. def. band matrices
F453S F  MATINC         Inversion of complex matrices
F454S F  CROUT          Solution of simultaneous linear equations
F455S F  CROUTC         Sol. of simultaneous complex linear eqns.
F456S F1 DIAG           Integer preserving Gaussian elimination
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4. METHOD OF SOLUTION:
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5. RESTRICTIONS ON THE COMPLEXITY OF THE PROBLEM:
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6. TYPICAL RUNNING TIME:
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7. UNUSUAL FEATURES OF THE PROGRAM:
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8. RELATED AND AUXILIARY PROGRAMS

EISPACK2  (NESC   Abstract  534),
AMDLIBAE (NESC Abstract 562), and AMDLIBGZ (NESC Abstract 564).
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9. STATUS
Package ID Status date Status
NESC0563/01 01-MAR-1980 Tested at NEADB
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10. REFERENCES

- 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:

- Burton S. Garbow:

  SYMINV, Symmetric Matrix Inversion with Accompanying Solution of

  Linear Equations

  ANL F152S (June 1968) Rev. (March 197[5).

- Donald F. Jordan:

  DOTP, Extra-Precision Accumulating Inner Product

  ANL F154S (November 1967).

- Virginia Klema:

  RAYCOR, Rayleigh Corrections to Eigenvalues of a Real Symmetric

  Matrix

  ANL F156S (May 1968).

- A. Strecok:

  XTRADP, A FORTRAN IV Function Subroutine to Calculate a Fast

  Extended Precision Inner Product of Two REAL*8 Vectors

  ANL F161S (September 1971).

- Dwight W. Smith:

  XTRADP, An Assembly Function Subroutine to Calculate the REAL*16

  Inner Product of Two REAL*8 Vectors

  ANL F162S (August 1973).

- Burton S. Garbow:

  EIGEN, Eigenvalues and Eigenvectors of a Real Symmetric Matrix

  ANL F202S-1 (December 1969).

- Burton S. Garbow:

  MAIN, A General Program for the Computation of  Eigenvalues and

  Eigenvectors of a Real Symmetric Matrix

  ANL F203S (December 1968).

- B. Garbow:

RITZIT, A FORTRAN IV Subroutine to Determine the Absolutely Larges    Eigenvalues and Corresponding Eigenvectors of a Real Symmetric

  Matrix

  ANL F248S (February 1976).

- Burton S. Garbow:

  EIGINV, Solution of the Inverse Eigenvalue Problem

  ANL F261S (October 1968).

- B. Garbow:

  CQZHES, A FORTRAN IV Subroutine to Simultaneously Reduce One of a
  Pair of Complex General Matrices to Upper Hessenberg Form and the
  Other to Upper Triangular Form Using and Optionally Accumulating

  Unitary Transformations

  ANL F313S (May 1976).

- B. Garbow:

CQZVAL, A FORTRAN IV Subroutine to Reduce One of a Pair of Complex    Matrices from Upper  Hessenberg to Upper Triangular Form while

  Maintaining the Upper Triangular Form of the Other Using and

  Optionally Accumulating Unitary Transformations

  ANL F314S (May 1976).

- B. Garbow:

  CQZVEC, A FORTRAN IV Subroutine to Determine the Generalized

  Eigenvectors of a Complex Upper Triangular Matrix System Using

  Back Substitution

  ANL F315S (May 1976).

- B. Garbow:

  CGG, A FORTRAN IV Driver Subroutine to Determine the Eigenvalues

  and Eigenvectors for the Complex General Generalized Eigenproblem
  A*X=(LAMBDA)*B*X

  ANL F316S (May 1976).

- Burton S. Garbow and C. Chamot:

  MATINV, Matrix Inversion with Accompanying Solution of Linear

  Equations

  ANL F402S (February 1969) Rev. (March 1975).

- Burton S. Garbow:

MAIN, A General Program for Matrix Inversion and Solution of Linea    Equations

  ANL F403S (December 1968).

- Burton S. Garbow:

  CHOLLU, CHOLEQ, Symmetric Decomposition of Positive-Definite Band
  Matrices

  ANL F452S (July 1968) Rev. (March 1975 and March 1976).

- Burton S. Garbow:

  MATINC, Complex Matrix Inversion with Accompanying Solution of

  Linear Equations

  ANL F453S (June 1968) Rev. (March 1975).

- Burton S. Garbow:

  CROUT, Solution of Linear Equations by the Crout Method

  ANL F454S (April 1968) Rev. (March and September 1975).

- Burton S. Garbow:

  CROUTC, Solution of Complex Linear Equations by the Crout Method

  ANL F455S (June 1968) Rev. (March and September 1975).

- Burton S. Garbow:

  DIAG, Integer-Preserving Gaussian Elimination

  ANL F456S-1 (September 1970).
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11. MACHINE REQUIREMENTS:
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12. PROGRAMMING LANGUAGE(S) USED
Package ID Computer language
NESC0563/01 FORTRAN-IV
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13. OPERATING SYSTEM UNDER WHICH PROGRAM IS EXECUTED:   OS/360 Release
19.6.
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14. OTHER PROGRAMMING OR OPERATING INFORMATION OR RESTRICTIONS:
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15. NAME AND ESTABLISHMENT OF AUTHOR

   Contact       Jesse Y. Wang, Program Librarian
                 Applied Mathematics Division
                 Argonne National Laboratory
                 9700 South Cass Avenue
                 Argonne, Illinois  60439
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16. MATERIAL AVAILABLE
NESC0563/01
File name File description Records
NESC0563_01.001 SOURCE (F4,EBCDIC) 2953
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17. CATEGORIES
  • P. General Mathematical and Computing System Routines

Keywords: eigenvalues, eigenvectors, matrices.