The DOI matches its Crossref record; 6 of the 6 references it cites were found in a registry or an index.
The Fritz John necessary optimality conditions in the presence of equality and inequality constraints
Open accessOverview
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
Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability; Vol. IV
Roy, H. L. L., Lecam, L., & Neyman, J. (1969) · Revue de l'Institut International de Statistique / Review of the International Statistical Institute · doi:10.2307/1402306 · Cited by 2,835
Apostol, T. M. (1957) · UCLA Biblioteca de Ingenieria Civil · Cited by 2,395
Linear Inequalities and Related Systems.
Dantzig, G. B., Kuhn, H. W., & Tucker, A. W. (1956) · Medical Entomology and Zoology · Cited by 995
Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability
(1951) · University of California Press eBooks · doi:10.1525/9780520411586 · Cited by 806
Functions of several variables
Werner, F., & Sotskov, Y. N. (2010) · Taylor & Francis eBooks · doi:10.4324/9780203401385_chapter_11 · Cited by 421
Differential and Integral Calculus.
Lowenstein, L. L., Neelley, J. H., & Tracey, J. I. (1939) · American Mathematical Monthly · doi:10.2307/2303211 · Cited by 175
Cited by
Interior Methods for Nonlinear Optimization
Forsgren, A., Gill, P. E., & Wright, M. H. (2002) · SIAM Review · doi:10.1137/s0036144502414942 · Cited by 699
Knot tightening by constrained gradient descent
Ashton, T., Cantarella, J., Piatek, M., & Rawdon, E. J. (2011) · Experimental Mathematics · doi:10.1080/10586458.2011.544581 · Cited by 71
Metadata
- Authors
- Mangasarian, O. L., & Fromovitz, S.
- Venue
- Journal of Mathematical Analysis and Applications
- Publisher
- Elsevier BV
- Published
- 1967-01
- Volume
- 17
- Issue
- 1
- Pages
- 37-47
- ISSN
- 0022-247X (ISSN-L)
- OpenAlex
- W2111948593
- Cited by
- 622
- References
- 6
- FWCI
- 1.93
- 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: The Fritz John necessary optimality conditions in the presence of equality and inequality constraints. https://app.cochat.ai/papers/10.1016/0022-247x(67)90163-1
- The paper
- Mangasarian, O. L., & Fromovitz, S. (1967). The Fritz John necessary optimality conditions in the presence of equality and inequality constraints. Journal of Mathematical Analysis and Applications. https://doi.org/10.1016/0022-247x(67)90163-1
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.