article

Free access

Basic Linear Algebra Subprograms for Fortran Usage

Authors:

C. L. Lawson,

R. J. Hanson,

D. R. Kincaid, and

F. T. KroghAuthors Info & Claims

ACM Transactions on Mathematical Software (TOMS), Volume 5, Issue 3

Pages 308 - 323

https://doi.org/10.1145/355841.355847

Published: 01 September 1979 Publication History

PDF eReader

References

[1]

ANSI FORTRAN X3.9-1966. American Natmnal Standards institute, New York, ~966.

Google Scholar

[2]

ANSI FORTRAN X3.9-1978. American Natmnal Standards Institute, New York, 1978. (Also known as FORTRAN 77 )

Google Scholar

[3]

ANSI Subcommittee X3J3. Clarification of FORTRAN standards--second report. Comm. ACM 14, 10 (1971), 628-642.

Crossref

Google Scholar

[4]

ASA Sectional Committee X3. FORTRAN vs. Basic FORTRAN Comm. ACM 7, 10 (Oct. 1964}, 591-625.

Google Scholar

[5]

BLUE, J.L. A portable Fortran program to find the Euclidean norm of a vec~r. ACM Trans. Math. Software 4, 1 (March 1978}, 15-23.

Crossref

Google Scholar

[6]

BRENT, R. A Fortran multiple precision arithmetic package. ACM Trans. Math. Software 4, 1 {March 1978), 57-70.

Crossref

Google Scholar

[7]

CODY, W.J. Software for the elementary functions. In Mathematwal Software, J.R. Rice, Ed., Academic Press, New York, 1971, pp. 171-186.

Google Scholar

[8]

DONGARRA, J.J. Fortran BLAS timing. LINPACK Working Note 3, Argonne Nat. Lab., Argonne, Ill draft of March 1977

Google Scholar

[9]

GENTLEMAN, W M. Least squares computations by Givens transformations without square roots. J. Inst. Math Appl. 12 (1973), 329-336.

Google Scholar

[10]

HAMMARLING, S A note on modifications of the Givens plane rotation. J. Inst. Math. Appl. 13, 2 (1974), 215-218.

Google Scholar

[11]

HANSON, R.J., KROGH, F.T, AND LAWSON, C.L. A proposal for standard linear algebra subprograms. TM 33-660, Jet Propulsion Lab., Pasadena, Calif., Nov. 1973. '

Google Scholar

[12]

HANSON, R.J., LAWSON, C.L., KINcam, D.R., aND KROGH, F.T. Basic linear algebra subprograms for FORTRAN usage--an extended report. Sandia Tech. Rep. SAND 77-0898, Sandia Lab., Albuquerque, N. Mex, 1977.

Crossref

Google Scholar

[13]

LAWSON, C.L. Standardization of FORTRAN callable subprograms for basic linear algebra. Software II, Purdue U., W. Lafayette, Ind., May 1974. (Abstract on p. 261.)

Google Scholar

[14]

LAWSON, C.L., AND HANSON, R.J. Solving Least Squares Problems. Prentice-Hall, Englewood, Chffs, N.J, 1974

Google Scholar

[15]

STEWART, G.W. The economical storage of plane rotations. Numer. Math. 25, 2 (1976), 137-139.

Google Scholar

Cited By

View all

Filho DBrandão GLópez J(2024)Fast polynomial multiplication using matrix multiplication accelerators with applications to NTRU on Apple M1/M3 SoCsIACR Communications in Cryptology10.62056/a3txommolOnline publication date: 9-Apr-2024
https://doi.org/10.62056/a3txommol
Charton FLauter KLi CTygert M(2024)An Efficient Algorithm for Integer Lattice ReductionSIAM Journal on Matrix Analysis and Applications10.1137/23M155793345:1(353-367)Online publication date: 24-Jan-2024
https://doi.org/10.1137/23M1557933
Cai QTan GYang WHe XYan YLi KLi K(2024)COALA: A Compiler-Assisted Adaptive Library Routines Allocation Framework for Heterogeneous SystemsIEEE Transactions on Computers10.1109/TC.2024.338526973:7(1724-1737)Online publication date: Jul-2024
https://doi.org/10.1109/TC.2024.3385269
Show More Cited By

Index Terms

Basic Linear Algebra Subprograms for Fortran Usage

Recommendations

An extended set of FORTRAN basic linear algebra subprograms

This paper describes an extension to the set of Basic Linear Algebra Subprograms. The extensions are targeted at matrix-vector operations that should provide for efficient and portable implementations of algorithms for high-performance computers.

Read More
An overview of the sparse basic linear algebra subprograms: The new standard from the BLAS technical forum

We discuss the interface design for the Sparse Basic Linear Algebra Subprograms (BLAS), the kernels in the recent standard from the BLAS Technical Forum that are concerned with unstructured sparse matrices. The motivation for such a standard is to ...
Read More
A proposal for an extended set of Fortran Basic Linear Algebra Subprograms

This paper describes an extension to the set of Basic Linear Algebra Subprograms. The extensions proposed are targeted at matrix vector operations which should provide for more efficient and portable implementations of algorithms for high performance ...
Read More

Comments

Information & Contributors

Information

Published In

cover image ACM Transactions on Mathematical Software

ACM Transactions on Mathematical Software Volume 5, Issue 3

Sept. 1979

128 pages

ISSN:0098-3500

EISSN:1557-7295

DOI:10.1145/355841

Issue’s Table of Contents

Publisher

Association for Computing Machinery

New York, NY, United States

Publication History

Published: 01 September 1979

Published in TOMS Volume 5, Issue 3

Permissions

Request permissions for this article.

Request Permissions

Check for updates

Qualifiers

Article

Contributors

Other Metrics

View Article Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

1,075
Total Citations
View Citations
4,758
Total Downloads

Downloads (Last 12 months)557
Downloads (Last 6 weeks)47

Other Metrics

View Author Metrics

Citations

Cited By

View all

Filho DBrandão GLópez J(2024)Fast polynomial multiplication using matrix multiplication accelerators with applications to NTRU on Apple M1/M3 SoCsIACR Communications in Cryptology10.62056/a3txommolOnline publication date: 9-Apr-2024
https://doi.org/10.62056/a3txommol
Charton FLauter KLi CTygert M(2024)An Efficient Algorithm for Integer Lattice ReductionSIAM Journal on Matrix Analysis and Applications10.1137/23M155793345:1(353-367)Online publication date: 24-Jan-2024
https://doi.org/10.1137/23M1557933
Cai QTan GYang WHe XYan YLi KLi K(2024)COALA: A Compiler-Assisted Adaptive Library Routines Allocation Framework for Heterogeneous SystemsIEEE Transactions on Computers10.1109/TC.2024.338526973:7(1724-1737)Online publication date: Jul-2024
https://doi.org/10.1109/TC.2024.3385269
Fattebert JNegre CFinkelstein JMohd-Yusof JOsei-Kuffuor DWall MZhang YBock NMniszewski S(2024)Hybrid programming-model strategies for GPU offloading of electronic structure calculation kernelsThe Journal of Chemical Physics10.1063/5.0198797160:12Online publication date: 29-Mar-2024
https://doi.org/10.1063/5.0198797
Lechner MPapadopoulos ASivalingam KAuer AKoslowski ABecker UWennmohs FNeese F(2024)Code generation in ORCA: progress, efficiency and tight integrationPhysical Chemistry Chemical Physics10.1039/D4CP00444B26:21(15205-15220)Online publication date: 2024
https://doi.org/10.1039/D4CP00444B
Kriebel MTecmer PGałyńska MLeszczyk ABoguslawski K(2024)Accelerating Pythonic Coupled-Cluster Implementations: A Comparison Between CPUs and GPUsJournal of Chemical Theory and Computation10.1021/acs.jctc.3c0111020:3(1130-1142)Online publication date: 2-Feb-2024
https://doi.org/10.1021/acs.jctc.3c01110
Luszczek PAbdelfattah AAnzt HSuzuki ATomov S(2024)Batched sparse and mixed-precision linear algebra interface for efficient use of GPU hardware accelerators in scientific applicationsFuture Generation Computer Systems10.1016/j.future.2024.06.004160(359-374)Online publication date: Nov-2024
https://doi.org/10.1016/j.future.2024.06.004
Struski ŁMorkisz PSpurek PBernabeu STrzciński T(2024)Efficient GPU implementation of randomized SVD and its applicationsExpert Systems with Applications10.1016/j.eswa.2024.123462248(123462)Online publication date: Aug-2024
https://doi.org/10.1016/j.eswa.2024.123462
Kudo SYamamoto YHoshi T(2024)A fast and efficient computation method for reflective diffraction simulationsComputer Physics Communications10.1016/j.cpc.2023.109029296(109029)Online publication date: Mar-2024
https://doi.org/10.1016/j.cpc.2023.109029
Bernal Neira DLaird CLueg LHarwood STrenev DVenturelli D(2024)Utilizing modern computer architectures to solve mathematical optimization problems: A surveyComputers & Chemical Engineering10.1016/j.compchemeng.2024.108627184(108627)Online publication date: May-2024
https://doi.org/10.1016/j.compchemeng.2024.108627
Show More Cited By

View Options

View options

PDF

View or Download as a PDF file.

PDF

eReader

View online with eReader.

eReader

Get Access

Login options

Check if you have access through your login credentials or your institution to get full access on this article.

References

Cited By

Index Terms

Recommendations

An extended set of FORTRAN basic linear algebra subprograms

An overview of the sparse basic linear algebra subprograms: The new standard from the BLAS technical forum

A proposal for an extended set of Fortran Basic Linear Algebra Subprograms

Comments

Information

Published In

Publisher

Publication History

Permissions

Check for updates

Qualifiers

Contributors

Other Metrics

Bibliometrics

Article Metrics

Other Metrics

Citations

Cited By

View options

PDF

eReader

Get Access

Login options

Full Access

Figures

Other

Share

Share this Publication link

Share on social media

Affiliations