Student or educator? Sign up with your school email and get 6 months of Pro free.
Cited by 873

The DOI matches its Crossref record; 17 of the 17 references it cites were found in a registry or an index.

A Globally Convergent Augmented Lagrangian Algorithm for Optimization with General Constraints and Simple Bounds

Open access
Conn, Andrew R., Gould, Nicholas I. M., Toint, Philippe·1991·SIAM Journal on Numerical Analysis

Abstract

The global and local convergence properties of a class of augmented Lagrangian methods for solving nonlinear programming problems are considered. In such methods, simple bound constraints are treated separately from more general constraints and the stopping rules for the inner minimization algorithm have this in mind. Global convergence is proved, and it is established that a potentially troublesome penalty parameter is bounded away from zero.

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.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.1137/0728030

Cites

17 of 17 references verified0 citation errors · 0 not checkable

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.

A few free checks a day · papers already verified open instantly · results are public

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

Show all 17 references

Cited by

See all 873

Metadata

Authors
Conn, A. R., Gould, N. I. M., & Toint, P.
Venue
SIAM Journal on Numerical Analysis
Published
1991-04
Volume
28
Issue
2
Pages
545-572
ISSN
  • 0036-1429 (ISSN-L)
  • 1095-7170
OpenAlex
W2042613327
Cited by
873
References
17
FWCI
4.60
Type
journal article
Language
en
Open access
green

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: A Globally Convergent Augmented Lagrangian Algorithm for Optimization with General Constraints and Simple Bounds. https://app.cochat.ai/papers/10.1137/0728030
The paper
Conn, A. R., Gould, N. I. M., & Toint, P. (1991). A Globally Convergent Augmented Lagrangian Algorithm for Optimization with General Constraints and Simple Bounds. SIAM Journal on Numerical Analysis. https://doi.org/10.1137/0728030

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.