Improving Laguerre's method to cope with symmetry pitfalls in polynomial root-finding

被引:0
|
作者
Chen, TC [1 ]
机构
[1] Chinese Univ Hong Kong, United Coll, Shatin, Hong Kong
关键词
iterative root-finding; symmetry; symmetric cluster; total expulsion; local expulsion; CLAM; Laguerre's method;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Symmetrically positioned zeros attract distant iterates yet expel nearby ones: causing poor convergence. An effective countermeasure, used successfully for the Cluster-Adapted Method (CLAM), has now been tailored for Laguerre's method, producing excellent results in limited tests.
引用
收藏
页码:105 / 110
页数:6
相关论文
共 50 条
  • [31] Quasi-analytical root-finding for non-polynomial functions
    Bracciali, Cleonice F.
    Carley, Michael
    NUMERICAL ALGORITHMS, 2017, 76 (03) : 639 - 653
  • [32] Real and Complex Polynomial Root-Finding by Means of Eigen-Solving
    Pan, Victor Y.
    Qian, Guoliang
    Zheng, Ai-Long
    COMPUTER ALGEBRA IN SCIENTIFIC COMPUTING, CASC 2012, 2012, 7442 : 271 - 282
  • [33] Accurate polynomial root-finding methods for symmetric tridiagonal matrix eigenproblems
    Gemignani, L.
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2016, 72 (04) : 992 - 1001
  • [34] Recursive Elucidation of Polynomial Congruences Using Root-Finding Numerical Techniques
    Mahmood, M. Khalid
    Ahmad, Farooq
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [35] AN OPTIMAL MULTIPLE ROOT-FINDING METHOD OF ORDER 3
    OSADA, N
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1994, 51 (01) : 131 - 133
  • [36] Parallel root-finding method for LPC analysis of speech
    Zapata, JLG
    Martín, JCD
    Vilda, PG
    TEXT, SPEECH AND DIALOGUE, PROCEEDINGS, 2004, 3206 : 529 - 536
  • [37] A Two-Step Quaternionic Root-Finding Method
    Falcao, Maria Irene
    Miranda, Fernando
    Severino, Ricardo
    Soares, Maria Joana
    COMPUTATIONAL SCIENCE AND ITS APPLICATIONS-ICCSA 2023 WORKSHOPS, PT I, 2023, 14104 : 708 - 721
  • [38] A parallel implementation of the Durand-Kerner algorithm for polynomial root-finding on GPU
    Ghidouche, Kahina
    Couturier, Raphael
    Sider, Abderrahmane
    2014 International Conference on Advanced Networking Distributed Systems and Applications (INDS 2014), 2014, : 53 - 57
  • [39] A PARALLEL ROOT-FINDING METHOD FOR OMNIDIRECTIONAL IMAGE UNWRAPPING
    Chong, Nguan Soon
    Wong, M. L. Dennis
    Kho, Yau Hee
    2013 IEEE INTERNATIONAL CONFERENCE ON VISUAL COMMUNICATIONS AND IMAGE PROCESSING (IEEE VCIP 2013), 2013,
  • [40] Polynomial Root-Finding Methods Whose Basins of Attraction Approximate Voronoi Diagram
    Kalantari, Bahman
    DISCRETE & COMPUTATIONAL GEOMETRY, 2011, 46 (01) : 187 - 203