A 3-order Newton-like Iteration Method

被引:0
|
作者
Lei, Jingui [1 ]
Tong, Zhang [1 ]
机构
[1] Nanjing Univ Informat Sci & Technol, Coll Math & Phys, Nanjing 210044, Peoples R China
关键词
Newton-Raphson method; convergence rate; nonlinear equation; limit;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A Newton-like iteration method was proposed to solve nonlinear equation. An analysis of local convergence was carried out that this new method has 3-order local convergence rate for the single root of nonlinear equation for any initial value near to the single root enough and has the same order local convergence rate with Newton-Raphson method.
引用
收藏
页码:310 / 313
页数:4
相关论文
共 50 条
  • [1] A 4-order Newton-like Iteration Method
    Lei, Jingui
    PROCEEDINGS OF THE FOURTH INTERNATIONAL CONFERENCE OF MODELLING AND SIMULATION (ICMS2011), VOL 1, 2011, : 139 - 142
  • [2] A High-Order Newton-Like Method
    WANG Xiuhua1
    2. Department of Mathematics
    3. Microsoft Corporation
    WuhanUniversityJournalofNaturalSciences, 2011, 16 (01) : 4 - 6
  • [3] New third-order Newton-like method with lower iteration number and lower TNFE
    Pantelimon George Popescu
    Radu Poenaru
    Florin Pop
    Soft Computing, 2017, 21 : 459 - 466
  • [4] New third-order Newton-like method with lower iteration number and lower TNFE
    Popescu, Pantelimon George
    Poenaru, Radu
    Pop, Florin
    SOFT COMPUTING, 2017, 21 (02) : 459 - 466
  • [5] On a New Generalised Iteration Method in the PSO-Based Newton-Like Method
    Gosciniak, Ireneusz
    Gdawiec, Krzysztof
    COMPUTATIONAL SCIENCE - ICCS 2022, PT I, 2022, : 623 - 636
  • [6] A Third Order Newton-Like Method and Its Applications
    Sahu, D. R.
    Agarwal, Ravi P.
    Singh, Vipin Kumar
    MATHEMATICS, 2019, 7 (01):
  • [7] ON A MONOTONE NEWTON-LIKE METHOD
    POTRA, FA
    COMPUTING, 1987, 39 (03) : 233 - 246
  • [8] A Newton-Like Method for Variable Order Vector Optimization Problems
    Bento, Glaydston de Carvalho
    Bouza Allende, Gemayqzel
    Leite Pereira, Yuri Rafael
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2018, 177 (01) : 201 - 221
  • [9] A Newton-Like Method for Variable Order Vector Optimization Problems
    Glaydston de Carvalho Bento
    Gemayqzel Bouza Allende
    Yuri Rafael Leite Pereira
    Journal of Optimization Theory and Applications, 2018, 177 : 201 - 221
  • [10] PSO-Based Newton-Like Method and Iteration Processes in the Generation of Artistic Patterns
    Gosciniak, Ireneusz
    Gdawiec, Krzysztof
    ADVANCES IN VISUAL COMPUTING, ISVC 2018, 2018, 11241 : 47 - 56