The DOI matches its Crossref record; 5 of the 5 references it cites were found in a registry or an index.
Basic Linear Algebra Subprograms for Fortran Usage
Open accessAbstract
A package of 38 low level subprograms for many of the basic operations of numerical linear algebra m presented.The package is intended to be used with Fortran.The operations m the package include dot product, elementary vector operation, Givens transformation, vector copy and swap, vector norm, vector scaling, and the determination of the index of the vector component of largest magnitude.The subprograms and a test driver are avadable in portable Fortran.Versions of the subprograms are also provided in assembly language for the IBM 360/67, the CDC 6600 and CDC 7600, and the Univac 1108.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Solving Least Squares Problems
Lawson, C. L., & Hanson, R. J. (1995) · doi:10.1137/1.9781611971217 · Cited by 7,103
Self-citationSolving Least Squares Problems.
Ling, R. F., Lawson, C. L., & Hanson, R. J. (1977) · Journal of the American Statistical Association · doi:10.2307/2286501 · Cited by 2,723
Self-citationLeast Squares Computations by Givens Transformations Without Square Roots
GENTLEMAN, W. M. (1973) · IMA Journal of Applied Mathematics · doi:10.1093/imamat/12.3.329 · Cited by 479
A Fortran Multiple-Precision Arithmetic Package
Brent, R. P. (1978) · ACM Transactions on Mathematical Software · doi:10.1145/355769.355775 · Cited by 216
A Note on Modifications to the Givens Plane Rotation
Hammarling, S. J. (1974) · IMA Journal of Applied Mathematics · doi:10.1093/imamat/13.2.215 · Cited by 118
Cited by
GROMACS: Fast, flexible, and free
Van Der Spoel, D., Lindahl, E., Hess, B., Groenhof, G., Mark, A. E., & Berendsen, H. J. C. (2005) · Journal of Computational Chemistry · doi:10.1002/jcc.20291 · Cited by 19,182
Boyd, S., Parikh, N., Chu, E., Peleato, B., & Eckstein, J. (2011) · Foundations and Trends® in Machine Learning · doi:10.1561/2200000016 · Cited by 17,075
Boyd, S. (2010) · now publishers, Inc. eBooks · doi:10.1561/9781601984616 · Cited by 12,677
Julia: A Fresh Approach to Numerical Computing
Bezanson, J., Edelman, A., Karpinski, S., & Shah, V. B. (2017) · SIAM Review · doi:10.1137/141000671 · Cited by 5,440
COPASI—a COmplex PAthway SImulator
Hoops, S., Sahle, S., Gauges, R., Lee, C., Pahle, J., Simus, N., Singhal, M., Xu, L., Mendes, P., & Kummer, U. (2006) · Bioinformatics · doi:10.1093/bioinformatics/btl485 · Cited by 2,618
Metadata
- Authors
- Lawson, C. L., Hanson, R. J., Kincaid, D. R., & Krogh, F. T.
- Venue
- ACM Transactions on Mathematical Software
- Published
- 1979-09
- Volume
- 5
- Issue
- 3
- Pages
- 308-323
- ISSN
- 0098-3500 (ISSN-L)
- 1557-7295
- OpenAlex
- W1988425770
- Cited by
- 1,634
- References
- 5
- FWCI
- 13.43
- Type
- journal article
- Language
- en
- Open access
- bronze
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Basic Linear Algebra Subprograms for Fortran Usage. https://app.cochat.ai/papers/10.1145/355841.355847
- The paper
- Lawson, C. L., Hanson, R. J., Kincaid, D. R., & Krogh, F. T. (1979). Basic Linear Algebra Subprograms for Fortran Usage. ACM Transactions on Mathematical Software. https://doi.org/10.1145/355841.355847
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.