Mesh-Independence of Lagrange-SQP Methods with Lipschitz-Continuous Lagrange Multiplier Updates
Article Properties
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LanguageEnglish
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DOI (url)
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Publication Date2002/01/01
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Indian UGC (journal)
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Refrences22
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Citations5
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S. Volkwein a Institut Für Mathematik , Karl-Franzens Universität Graz , Heinrich-Strasse 36, Graz , A-8010 , Austria
Cite
Volkwein, S. “Mesh-Independence of Lagrange-SQP Methods With Lipschitz-Continuous Lagrange Multiplier Updates”. Optimization Methods and Software, vol. 17, no. 1, 2002, pp. 77-111, https://doi.org/10.1080/10556780290027792.
Volkwein, S. (2002). Mesh-Independence of Lagrange-SQP Methods with Lipschitz-Continuous Lagrange Multiplier Updates. Optimization Methods and Software, 17(1), 77-111. https://doi.org/10.1080/10556780290027792
Volkwein, S. “Mesh-Independence of Lagrange-SQP Methods With Lipschitz-Continuous Lagrange Multiplier Updates”. Optimization Methods and Software 17, no. 1 (2002): 77-111. https://doi.org/10.1080/10556780290027792.
Volkwein S. Mesh-Independence of Lagrange-SQP Methods with Lipschitz-Continuous Lagrange Multiplier Updates. Optimization Methods and Software. 2002;17(1):77-111.
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Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Quasi-Newton Methods and Unconstrained Optimal Control Problems | SIAM Journal on Control and Optimization |
| 40 | 1987 |
| Quasi-Newton Methods and Unconstrained Optimal Control Problems | 1996 | |||
| Quasi-Newton Methods and Unconstrained Optimal Control Problems | ||||
| Augmented Lagrange-SQP methods with Lipschitz-continuous Lagrange multiplier updates | 1998 | |||
| Practical Optimization | 1981 |
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
A Multilevel Method for the Solution of Time Dependent Optimal Transport | Numerical Mathematics: Theory, Methods and Applications |
| 9 | 2015 |
| Inexact Restoration for Runge–Kutta Discretization of Optimal Control Problems | SIAM Journal on Numerical Analysis |
| 27 | 2010 |
| SQP methods for parameter identification problems arising in hyperthermia | Optimization Methods and Software |
| 3 | 2006 |
| Asymptotic Mesh Independence of Newton's Method Revisited | SIAM Journal on Numerical Analysis |
| 2005 | |
| Affine Invariant Convergence Analysis for Inexact Augmented Lagrangian-SQP Methods | SIAM Journal on Control and Optimization |
| 2002 |
Citations Analysis
The category
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods 5
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Affine Invariant Convergence Analysis for Inexact Augmented Lagrangian-SQP Methods and was published in 2002. The most recent citation comes from a 2015 study titled A Multilevel Method for the Solution of Time Dependent Optimal Transport. This article reached its peak citation in 2015, with 1 citations. It has been cited in 4 different journals. Among related journals, the SIAM Journal on Numerical Analysis cited this research the most, with 2 citations. The chart below illustrates the annual citation trends for this article.