NESC0563 AMDLIBF

1. NAME OR DESIGNATION OF PROGRAM:  AMDLIBF

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

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

EISPACK2  (NESC   Abstract  534),
AMDLIBAE (NESC Abstract 562), and AMDLIBGZ (NESC Abstract 564).

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 Accumulati
ng 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).

11. MACHINE REQUIREMENTS:

13. OPERATING SYSTEM UNDER WHICH PROGRAM IS EXECUTED:   OS/360 Release
19.6.

14. OTHER PROGRAMMING OR OPERATING INFORMATION OR RESTRICTIONS:

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

File name	File description	Records
NESC0563_01.001	SOURCE (F4,EBCDIC)	2953