Basic Linear Algebra Subprograms for Fortran Usage

@article{Lawson1979BasicLA,
  title={Basic Linear Algebra Subprograms for Fortran Usage},
  author={Charles L. Lawson and Richard J. Hanson and David R. Kincaid and Fred T. Krogh},
  journal={ACM Trans. Math. Softw.},
  year={1979},
  volume={5},
  pages={308-323}
}
A package of 38 low level subprograms for many of the basic operations of numerical linear algebra is presented. The package is intended to be used with FORTRAN. The operations in the package are dot products, elementary vector operations, Givens transformations, vector copy and swap, vector norms, vector scaling, and the indices of components of largest magnitude. The subprograms and a test driver are available in portable FORTRAN. Versions of the subprograms are also provided in assembly… Expand
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References

SHOWING 1-10 OF 18 REFERENCES
A proposal for standard linear algebra subprograms
A set of FORTRAN callable subprograms are proposed which will be useful in the development of efficient portable ANSI FORTRAN subprograms and applications programs in the area of linear algebra.
A Portable Fortran Program to Find the Euclidean Norm of a Vector
TLDR
This paper describes a successful version of a subprogram to find the Euclidean norm of an n-vector which is accurate and efficient, and should avoid all overflows and underflows, and is also portable. Expand
Clarification of Fortran standards—second report
TLDR
The nature of the maintenance and the new set of corrections to and interpretations of the standard specifications are reported. Expand
A Note on Modifications to the Givens Plane Rotation
It has recently been shown how to perform plane rotations without square roots and with a saving in multiplications. (See for example, Gentleman, 1973). The purpose of this note is to present theExpand
The economical storage of plane rotations
SummaryPlane rotations, which have long been used in matrix computations to annihilate selected elements of a matrix, have the drawback that their definition requires two numbers. In this note it isExpand
A Fortran Multiple-Precision Arithmetic Package
Abstract : A collection of ANSI Standard FORTRAN subroutines for performing multiple-precision floating-point arithmetic and evaluating elementary and special functions is described. The subroutinesExpand
Basic linear algebra subprograms for FORTRAN usage--an extended report
  • Sandia Tech. Rep. SAND
  • 1977
Fortran BLAS timing
  • LINPACK Working Note
  • 1977
Fortran BLAS timing. LINPACK Working Note 3
  • Argonne Nat. Lab
  • 1977
Received July ACM TransacUons on MathemaUcal Software
  • Received July ACM TransacUons on MathemaUcal Software
  • 1977
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