The DOI matches its Crossref record; 11 of the 11 references it cites were found in a registry or an index.
Approximate solution of the trust region problem by minimization over two-dimensional subspaces
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
The Levenberg-Marquardt algorithm: Implementation and theory
Moré, J. J. (1978) · Lecture Notes in Mathematics · doi:10.1007/bfb0067700 · Cited by 5,773
The Symmetric Eigenvalue Problem
Parlett, B. N. (1998) · Society for Industrial and Applied Mathematics eBooks · doi:10.1137/1.9781611971163 · Cited by 3,192
Testing Unconstrained Optimization Software
Morè, J. J., Garbow, B. S., & Hillstrom, K. E. (1981) · ACM Transactions on Mathematical Software · doi:10.1145/355934.355936 · Cited by 1,527
Moré, J. J., & Sorensen, D. C. (1983) · SIAM Journal on Scientific and Statistical Computing · doi:10.1137/0904038 · Cited by 1,411
The Symmetric Eigenvalue Problem.
Wilkinson, J. H., & Parlett, B. N. (1981) · Mathematics of Computation · doi:10.2307/2007453 · Cited by 1,186
Newton’s Method with a Model Trust Region Modification
Sorensen, D. C. (1982) · SIAM Journal on Numerical Analysis · doi:10.1137/0719026 · Cited by 560
A New Algorithm for Unconstrained Optimization
POWELL, M. J. D. (1970) · Nonlinear Programming · doi:10.1016/b978-0-12-597050-1.50006-3 · Cited by 447
(2018) · An Introduction to Numerical Methods · doi:10.1201/9781315107042-14 · Cited by 335
Computing Optimal Locally Constrained Steps
Gay, D. M. (1981) · SIAM Journal on Scientific and Statistical Computing · doi:10.1137/0902016 · Cited by 293
A modular system of algorithms for unconstrained minimization
Schnabel, R. B., Koonatz, J. E., & Weiss, B. E. (1985) · ACM Transactions on Mathematical Software · doi:10.1145/6187.6192 · Cited by 195
Self-citationTensor Methods for Nonlinear Equations
Schnabel, R. B., & Frank, P. D. (1984) · SIAM Journal on Numerical Analysis · doi:10.1137/0721054 · Cited by 152
Self-citation
Cited by
An Interior Trust Region Approach for Nonlinear Minimization Subject to Bounds
Coleman, T. F., & Li, Y. (1996) · SIAM Journal on Optimization · doi:10.1137/0806023 · Cited by 3,320
Branch, M. A., Coleman, T. F., & Li, Y. (1999) · SIAM Journal on Scientific Computing · doi:10.1137/s1064827595289108 · Cited by 1,083
Coleman, T. F., & Li, Y. (1996) · SIAM Journal on Optimization · doi:10.1137/s1052623494240456 · Cited by 604
Systems biology: parameter estimation for biochemical models
Ashyraliyev, M., Fomekong‐Nanfack, Y., Kaandorp, J. A., & Blom, J. G. (2009) · The FEBS Journal · doi:10.1111/j.1742-4658.2008.06844.x · Cited by 323
Anipose: A toolkit for robust markerless 3D pose estimation
Karashchuk, P., Rupp, K. L., Dickinson, E. S., Walling-Bell, S., Sanders, E., Azim, E., Brunton, B. W., & Tuthill, J. C. (2021) · Cell Reports · doi:10.1016/j.celrep.2021.109730 · Cited by 324
Metadata
- Authors
- Byrd, R. H., Schnabel, R. B., & Shultz, G. A.
- Venue
- Mathematical Programming
- Published
- 1988-01
- Volume
- 40-40
- Issue
- 1-3
- Pages
- 247-263
- ISSN
- 0025-5610 (ISSN-L)
- 1436-4646
- OpenAlex
- W2119842211
- Cited by
- 411
- References
- 11
- FWCI
- 2.65
- Type
- journal article
- Language
- en
- Open access
- closed
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
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.
