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Newton's method and its use in optimization

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  • Polyak, B.T.

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  • Polyak, B.T., 2007. "Newton's method and its use in optimization," European Journal of Operational Research, Elsevier, vol. 181(3), pages 1086-1096, September.
    • Handle: RePEc:eee:ejores:v:181:y:2007:i:3:p:1086-1096
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    References listed on IDEAS

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    1. Smale, Steve, 1976. "A convergent process of price adjustment and global newton methods," Journal of Mathematical Economics, Elsevier, vol. 3(2), pages 107-120, July.
    2. NESTEROV, Yurii & POLYAK, Boris, 2003. "Cubic regularization of a Newton scheme and its global performance," LIDAM Discussion Papers CORE 2003041, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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    Cited by:

    1. Ivorra, Benjamin & Mohammadi, Bijan & Manuel Ramos, Angel, 2015. "A multi-layer line search method to improve the initialization of optimization algorithms," European Journal of Operational Research, Elsevier, vol. 247(3), pages 711-720.
    2. Shi, Zhenjun & Wang, Shengquan, 2011. "Nonmonotone adaptive trust region method," European Journal of Operational Research, Elsevier, vol. 208(1), pages 28-36, January.
    3. Orozco-Gutierrez, M.L. & Ramirez-Scarpetta, J.M. & Spagnuolo, G. & Ramos-Paja, C.A., 2013. "A technique for mismatched PV array simulation," Renewable Energy, Elsevier, vol. 55(C), pages 417-427.
    4. Zu, Yue & Heydari, Ruhollah & Chahar, Kiran & Pranoto, Yudi & Cheng, Clark, 2022. "A railcar re-blocking strategy via Mixed Integer Quadratic Programming," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 162(C).
    5. Regina S. Burachik & C. Yalçın Kaya & Shoham Sabach, 2012. "A Generalized Univariate Newton Method Motivated by Proximal Regularization," Journal of Optimization Theory and Applications, Springer, vol. 155(3), pages 923-940, December.
    6. Sun, Zhe & Yang, Xiaoqi, 2020. "A generalized Newton method for a class of discrete-time linear complementarity systems," European Journal of Operational Research, Elsevier, vol. 286(1), pages 39-48.
    7. Zhang, Ruijun & Lu, Jie & Zhang, Guangquan, 2011. "A knowledge-based multi-role decision support system for ore blending cost optimization of blast furnaces," European Journal of Operational Research, Elsevier, vol. 215(1), pages 194-203, November.
    8. Buu-Chau Truong & Nguyen Van Thuan & Nguyen Huu Hau & Michael McAleer, 2019. "Applications of the Newton-Raphson Method in Decision Sciences and Education," Advances in Decision Sciences, Asia University, Taiwan, vol. 23(4), pages 52-80, December.
    9. Jittima Singvejsakul & Chukiat Chaiboonsri & Songsak Sriboonchitta, 2021. "The Optimization of Bayesian Extreme Value: Empirical Evidence for the Agricultural Commodities in the US," Economies, MDPI, vol. 9(1), pages 1-10, March.

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