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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. Only liaison officers are authorised to submit online requests. Rules for requesters 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.