Remark on “Algorithm 539: Basic Linear Algebra Subprograms for Fortran Usage”

@article{Dodson1982RemarkO,
  title={Remark on “Algorithm 539: Basic Linear Algebra Subprograms for Fortran Usage”},
  author={David S. Dodson and Roger G. Grimes},
  journal={ACM Trans. Math. Softw.},
  year={1982},
  volume={8},
  pages={403-404}
}
Boeing C o m p u t e r Services C o m p a n y , Mail Stop 9C-01, 565 A n d o v e r P a r k West, Tukwila, W A 98188. T h e c o m p a n i o n [5] to Algorithm 539 (the B L A S) contains two errors w h i c h we discovered in the p r e p a r a t i o n of [1]. T h e m o r e serious error occurs in the m a t h e m a t i c a l specifications for subrou-tines S R O T G and D R O T G , which construct Givens plane rotations. F o r convenience of reference, we include the relevant specifications f r o m… Expand
Algorithm 867: QUADLOG—a package of routines for generating Gauss-related quadrature for two classes of logarithmic weight functions
A collection of subroutines and examples of their uses are described for the quadrature method developed in the companion article. These allow the exact evaluation (up to computer truncation andExpand
Issues relating to extension of the Basic Linear Algebra Subprograms
TLDR
The authors' views are Lased on their implementation of theBLAS in highly-efficient assembly language for the Cray-1 and Cray X-MP, and use of the BLAS and some of the proposed extensions in a variety of application areas. Expand
Case studies on the development of ScaLAPACK and the NAG Numerical PVM Library
TLDR
This paper looks at the development of ScaLAPACK and the NAG Numerical PVM Library, which includes software for dense and sparse linear algebra, quadrature, optimization and random number generation, aimed at distributed memory machines, including networks of workstations. Expand
A variational regularization of Abel transform for GPS radio occultation
Abstract. In the Global Positioning System (GPS) radio occultation (RO) technique, the inverse Abel transform of measured bending angle (Abel inversion, hereafter AI) is the standard means ofExpand
4. An Introduction to the Quality of Computed Solutions
  • S. Hammarling
  • Computer Science
  • Accuracy and Reliability in Scientific Computing
  • 2005
TLDR
The ideas of condition, stability and error analysis, and their realisation in numerical software are reviewed and a number of illustrative examples are given. Expand
Enhancing Critical Infrastructure Protection with innovative SECurity framework
Innovation Programme, under Grant Agreement no 700378. This deliverable contains original unpublished work except where clearly indicated otherwise. Acknowledgement of previously published materialExpand
An updated set of basic linear algebra subprograms (BLAS)
L. SUSAN BLACKFORD Myricom, Inc. JAMES DEMMEL University of California, Berkeley JACK DONGARRA The University of Tennessee IAIN DUFF Rutherford Appleton Laboratory and CERFACS SVEN HAMMARLINGExpand

References

SHOWING 1-5 OF 5 REFERENCES
Basic Linear Algebra Subprograms for Fortran Usage
TLDR
A package of 38 low level subprograms for many of the basic operations of numerical linear algebra is presented, intended to be used with FORTRAN. Expand
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
ACM Transactions on Mathematmal Software
  • ACM Transactions on Mathematmal Software
  • 1982
CRAY-1 basic linear algebra subprograms for CFT usage
  • CRAY-1 basic linear algebra subprograms for CFT usage
  • 1979
LINPACK Users' Guide. Socmty for Industrml and Apphed Mathematics
  • LINPACK Users' Guide. Socmty for Industrml and Apphed Mathematics
  • 1979