Алгоритм Левенберга — Марквардта (Ukrainian Wikipedia)

Analysis of information sources in references of the Wikipedia article "Алгоритм Левенберга — Марквардта" in Ukrainian language version.

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archive.org

Кеннет Левенберг^[en]A Method for the Solution of Certain Non-Linear Problems in Least Squares. Quarterly of Applied Mathematics. 2 (2): 164—168. 1944. doi:10.1090/qam/10666.

arxiv.org

Transtrum, Mark K; Machta, Benjamin B; Sethna, James P (2011). Geometry of nonlinear least squares with applications to sloppy models and optimization. Physical Review E. APS. 83 (3): 036701. arXiv:1010.1449. Bibcode:2011PhRvE..83c6701T. doi:10.1103/PhysRevE.83.036701. PMID 21517619. S2CID 15361707.
Transtrum, Mark K; Sethna, James P (2012). Improvements to the Levenberg-Marquardt algorithm for nonlinear least-squares minimization. arXiv:1201.5885 [physics.data-an].

auburn.edu

eng.auburn.edu

Wiliamowski, Bogdan; Yu, Hao (June 2010). Improved Computation for Levenberg–Marquardt Training (PDF). IEEE Transactions on Neural Networks and Learning Systems. 21 (6). Архів оригіналу (PDF) за 21 січня 2022. Процитовано 21 травня 2022.

doi.org

Кеннет Левенберг^[en]A Method for the Solution of Certain Non-Linear Problems in Least Squares. Quarterly of Applied Mathematics. 2 (2): 164—168. 1944. doi:10.1090/qam/10666.
Дональд Марквардт^[en].An Algorithm for Least-Squares Estimation of Nonlinear Parameters. SIAM Journal on Applied Mathematics. 11 (2): 431—441. doi:10.1137/0111030.
Wynne, C. G. (1959). Lens Designing by Electronic Digital Computer: I. Proc. Phys. Soc. Lond. 73 (5): 777—787. Bibcode:1959PPS....73..777W. doi:10.1088/0370-1328/73/5/310.
Transtrum, Mark K; Machta, Benjamin B; Sethna, James P (2011). Geometry of nonlinear least squares with applications to sloppy models and optimization. Physical Review E. APS. 83 (3): 036701. arXiv:1010.1449. Bibcode:2011PhRvE..83c6701T. doi:10.1103/PhysRevE.83.036701. PMID 21517619. S2CID 15361707.
Kanzow, Christian; Yamashita, Nobuo; Fukushima, Masao (2004). Levenberg–Marquardt methods with strong local convergence properties for solving nonlinear equations with convex constraints. Journal of Computational and Applied Mathematics. 172 (2): 375—397. Bibcode:2004JCoAM.172..375K. doi:10.1016/j.cam.2004.02.013.

gnu.org

Nonlinear Least-Squares Fitting. GNU Scientific Library. Архів оригіналу за 14 квітня 2020.

harvard.edu

ui.adsabs.harvard.edu

Wynne, C. G. (1959). Lens Designing by Electronic Digital Computer: I. Proc. Phys. Soc. Lond. 73 (5): 777—787. Bibcode:1959PPS....73..777W. doi:10.1088/0370-1328/73/5/310.
Transtrum, Mark K; Machta, Benjamin B; Sethna, James P (2011). Geometry of nonlinear least squares with applications to sloppy models and optimization. Physical Review E. APS. 83 (3): 036701. arXiv:1010.1449. Bibcode:2011PhRvE..83c6701T. doi:10.1103/PhysRevE.83.036701. PMID 21517619. S2CID 15361707.
Kanzow, Christian; Yamashita, Nobuo; Fukushima, Masao (2004). Levenberg–Marquardt methods with strong local convergence properties for solving nonlinear equations with convex constraints. Journal of Computational and Applied Mathematics. 172 (2): 375—397. Bibcode:2004JCoAM.172..375K. doi:10.1016/j.cam.2004.02.013.

nih.gov

pubmed.ncbi.nlm.nih.gov

Transtrum, Mark K; Machta, Benjamin B; Sethna, James P (2011). Geometry of nonlinear least squares with applications to sloppy models and optimization. Physical Review E. APS. 83 (3): 036701. arXiv:1010.1449. Bibcode:2011PhRvE..83c6701T. doi:10.1103/PhysRevE.83.036701. PMID 21517619. S2CID 15361707.

semanticscholar.org

api.semanticscholar.org

Transtrum, Mark K; Machta, Benjamin B; Sethna, James P (2011). Geometry of nonlinear least squares with applications to sloppy models and optimization. Physical Review E. APS. 83 (3): 036701. arXiv:1010.1449. Bibcode:2011PhRvE..83c6701T. doi:10.1103/PhysRevE.83.036701. PMID 21517619. S2CID 15361707.

web.archive.org

Wiliamowski, Bogdan; Yu, Hao (June 2010). Improved Computation for Levenberg–Marquardt Training (PDF). IEEE Transactions on Neural Networks and Learning Systems. 21 (6). Архів оригіналу (PDF) за 21 січня 2022. Процитовано 21 травня 2022.
Nonlinear Least-Squares Fitting. GNU Scientific Library. Архів оригіналу за 14 квітня 2020.

wikipedia.org

en.wikipedia.org

Кеннет Левенберг^[en]A Method for the Solution of Certain Non-Linear Problems in Least Squares. Quarterly of Applied Mathematics. 2 (2): 164—168. 1944. doi:10.1090/qam/10666.
Дональд Марквардт^[en].An Algorithm for Least-Squares Estimation of Nonlinear Parameters. SIAM Journal on Applied Mathematics. 11 (2): 431—441. doi:10.1137/0111030.