• DocumentCode
    2257104
  • Title

    Convergence theorems of the steepest descent method for accretive mappings

  • Author

    Wu, Ding-Ping ; Shi, Jin-Wei ; Zheng, Chun-yang

  • Author_Institution
    Coll. of Math., Chengdu Univ. of Inf. Technol., Chengdu, China
  • Volume
    1
  • fYear
    2010
  • fDate
    11-14 July 2010
  • Firstpage
    184
  • Lastpage
    188
  • Abstract
    This paper is devoted to prove the generalized Φ-accretive mapping A : D(A) ⊆ E → 2E or generalized Lipschitz and generalized α - accretive with some specific conditions, then sequence {xn} generated by the steepest descent approximation method which converges strongly to a solution x* of the equation Ax = 0, furthermore, the global convergence theorem is proved.
  • Keywords
    convergence of numerical methods; differential equations; gradient methods; generalized Φ-accretive mapping; generalized Lipschitz equation; global convergence theorem; steepest descent approximation method; Artificial neural networks; Magnetic resonance imaging; Silicon compounds; Φ-strongly accretive; Generalized α-accretive operator; Global convergence theorem; Steepest descent approximation; Strong convergence;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Machine Learning and Cybernetics (ICMLC), 2010 International Conference on
  • Conference_Location
    Qingdao
  • Print_ISBN
    978-1-4244-6526-2
  • Type

    conf

  • DOI
    10.1109/ICMLC.2010.5581071
  • Filename
    5581071
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2257104