レーベンバーグ・マルカート法 (Japanese Wikipedia)

Analysis of information sources in references of the Wikipedia article "レーベンバーグ・マルカート法" in Japanese language version.

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ams.org

Levenberg, Kenneth (1944). “A method for the solution of certain non-linear problems in least squares” (英語). Quarterly of Applied Mathematics 2 (2): 164–168. doi:10.1090/qam/10666. ISSN 0033-569X.

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.
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”. IEEE Transactions on Neural Networks and Learning Systems 21 (6).

doi.org

Levenberg, Kenneth (1944). “A method for the solution of certain non-linear problems in least squares” (英語). Quarterly of Applied Mathematics 2 (2): 164–168. doi:10.1090/qam/10666. ISSN 0033-569X.
Marquardt, Donald (1963). “An Algorithm for Least-Squares Estimation of Nonlinear Parameters”. SIAM Journal on Applied Mathematics 11 (2): 431–441. doi:10.1137/0111030. hdl:10338.dmlcz/104299.
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.
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. 2020年4月14日時点のオリジナルよりアーカイブ。2022年9月17日閲覧。

handle.net

hdl.handle.net

Marquardt, Donald (1963). “An Algorithm for Least-Squares Estimation of Nonlinear Parameters”. SIAM Journal on Applied Mathematics 11 (2): 431–441. doi:10.1137/0111030. hdl:10338.dmlcz/104299.

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.
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.

nii.ac.jp

ci.nii.ac.jp

FLETCHER, R. (1971). “A Modified Marquardt Subroutine for Nonlinear Least Squares”. Harwell Report AERE-R (6799). NAID 10000008775.

web.archive.org

“Nonlinear Least-Squares Fitting”. GNU Scientific Library. 2020年4月14日時点のオリジナルよりアーカイブ。2022年9月17日閲覧。

worldcat.org

search.worldcat.org

Levenberg, Kenneth (1944). “A method for the solution of certain non-linear problems in least squares” (英語). Quarterly of Applied Mathematics 2 (2): 164–168. doi:10.1090/qam/10666. ISSN 0033-569X.