IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v181y2007i3p1086-1096.html
   My bibliography  Save this article

Newton's method and its use in optimization

Author

Listed:
  • Polyak, B.T.

Abstract

No abstract is available for this item.

Suggested Citation

  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377-2217(06)00146-9
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. 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).
    2. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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.
    2. 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.
    3. Shi, Zhenjun & Wang, Shengquan, 2011. "Nonmonotone adaptive trust region method," European Journal of Operational Research, Elsevier, vol. 208(1), pages 28-36, January.
    4. 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.
    5. 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.
    6. 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).
    7. 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.
    8. 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.
    9. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Tuinstra, J., 2000. "Price adjustment in a model of monopolistic competition," CeNDEF Working Papers 00-13, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
    2. van der Laan, G. & Talman, A.J.J., 1985. "Adjustment processes for finding economic equilibria," Research Memorandum FEW 174, Tilburg University, School of Economics and Management.
    3. Herings, Jean-Jacques & van der Laan, Gerard & Venniker, Richard, 1998. "The transition from a Dreze equilibrium to a Walrasian equilibrium1," Journal of Mathematical Economics, Elsevier, vol. 29(3), pages 303-330, April.
    4. Denizalp Goktas & Jiayi Zhao & Amy Greenwald, 2023. "T\^atonnement in Homothetic Fisher Markets," Papers 2306.04890, arXiv.org.
    5. Rabani, Yuval & Schulman, Leonard J., 2021. "The invisible hand of Laplace: The role of market structure in price convergence and oscillation," Journal of Mathematical Economics, Elsevier, vol. 95(C).
    6. Anjan Mukherji, 2012. "The second fundamental theorem of positive economics," International Journal of Economic Theory, The International Society for Economic Theory, vol. 8(2), pages 125-138, June.
    7. Sjur Didrik Flåm, 2020. "Emergence of price-taking Behavior," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(3), pages 847-870, October.
    8. Frank Ackerman, 2001. "Still dead after all these years: interpreting the failure of general equilibrium theory," Journal of Economic Methodology, Taylor & Francis Journals, vol. 9(2), pages 119-139.
    9. Cavalli, Fausto & Naimzada, Ahmad, 2015. "A tâtonnement process with fading memory, stabilization and optimal speed of convergence," Chaos, Solitons & Fractals, Elsevier, vol. 79(C), pages 116-129.
    10. Demarzo, Peter M. & Eaves, B. Curtis, 1996. "Computing equilibria of GEI by relocalization on a Grassmann manifold," Journal of Mathematical Economics, Elsevier, vol. 26(4), pages 479-497.
    11. Herrmann, John D. & Kahn, Peter J., 1999. "A continuity property for local price adjustment mechanisms," Journal of Mathematical Economics, Elsevier, vol. 31(4), pages 419-453, May.
    12. J. Chen & L. Qi, 2010. "Pseudotransient Continuation for Solving Systems of Nonsmooth Equations with Inequality Constraints," Journal of Optimization Theory and Applications, Springer, vol. 147(2), pages 223-242, November.
    13. Juergen Huber & Martin Shubik & Shyam Sunder, 2009. "Default Penalty as a Disciplinary and Selection Mechanism in Presence of Multiple Equilibria," Cowles Foundation Discussion Papers 1730, Cowles Foundation for Research in Economics, Yale University.
    14. NESTEROV, Yu, 2003. "Modified Gauss-Newton scheme with worst-case guarantees for its global performance," LIDAM Discussion Papers CORE 2003086, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    15. Wei Ma & Chuangyin Dang, 2013. "The Optimal Price of Default," Annals of Economics and Finance, Society for AEF, vol. 14(1), pages 145-167, May.
    16. Govindan, Srihari & Wilson, Robert, 2004. "Computing Nash equilibria by iterated polymatrix approximation," Journal of Economic Dynamics and Control, Elsevier, vol. 28(7), pages 1229-1241, April.
    17. Herings, P. Jean-Jacques, 2024. "Globally and universally convergent price adjustment processes," Journal of Mathematical Economics, Elsevier, vol. 113(C).
    18. Shubik, Martin, 1990. "A game theoretic approach to the theory of money and financial institutions," Handbook of Monetary Economics, in: B. M. Friedman & F. H. Hahn (ed.), Handbook of Monetary Economics, edition 1, volume 1, chapter 5, pages 171-219, Elsevier.
    19. Reiter, Stanley & Maroulis, Spiro, 2008. "Stable processes of exchange," Journal of Mathematical Economics, Elsevier, vol. 44(12), pages 1398-1412, December.
    20. Eaves, B. Curtis & Schmedders, Karl, 1999. "General equilibrium models and homotopy methods," Journal of Economic Dynamics and Control, Elsevier, vol. 23(9-10), pages 1249-1279, September.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:ejores:v:181:y:2007:i:3:p:1086-1096. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eor .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.