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      KCI등재 SCIE SCOPUS

      Enlarging the ball of convergence of secant-like methods for non-differentiable operators

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      https://www.riss.kr/link?id=A104297470

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      다국어 초록 (Multilingual Abstract)

      In this paper, we enlarge the ball of convergence of a uniparametric family of secant-like methods for solving non-differentiable operators equations in Banach spaces via using $\omega$-condition and centered-like $\omega$-condition meantime as well a...

      In this paper, we enlarge the ball of convergence of a uniparametric family of secant-like methods for solving non-differentiable operators equations in Banach spaces via using $\omega$-condition and centered-like $\omega$-condition meantime as well as some fine techniques such as the affine invariant form. Numerical examples are also provided.

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      참고문헌 (Reference)

      1 H. Ren, "The convergence ball of the Secant method under Hoder continuous divided differences" 194 : 284-293, 2006

      2 Z. Huang, "The convergence ball of Newton's method and the uniqueness ball of equations under Holder-type continuous derivatives" 47 (47): 247-251, 2004

      3 M. A. Hernandez, "Solving a special case of conservative problems by secant-like methods" 169 (169): 926-942, 2005

      4 J. A. Ezquerro, "Semilocal convergence of secant-like methods for differentiable and nondifferentiable operator equations" 398 (398): 100-112, 2013

      5 I. K. Argyros, "On the secant method" 43 (43): 223-238, 1993

      6 X. H. Wang, "On the domain of convergence of Newton's method" 25 : 36-37, 1980

      7 M. A. Hernandez, "On the ball of convergence of secant-like methods for non-differentiable operators" 273 : 506-512, 2016

      8 I. K. Argyros, "On an improved local convergence analysis for the secant method" 52 (52): 257-271, 2009

      9 F. A. Potra, "Nondiscrete induction and iterative processes, Research Notes in Mathematics, 103" Pitman (Advanced Publishing Program) 1984

      10 P. Deuflhard, "Newton methods for nonlinear problems, Springer Series in Computational Mathematics, 35" Springer-Verlag 2004

      1 H. Ren, "The convergence ball of the Secant method under Hoder continuous divided differences" 194 : 284-293, 2006

      2 Z. Huang, "The convergence ball of Newton's method and the uniqueness ball of equations under Holder-type continuous derivatives" 47 (47): 247-251, 2004

      3 M. A. Hernandez, "Solving a special case of conservative problems by secant-like methods" 169 (169): 926-942, 2005

      4 J. A. Ezquerro, "Semilocal convergence of secant-like methods for differentiable and nondifferentiable operator equations" 398 (398): 100-112, 2013

      5 I. K. Argyros, "On the secant method" 43 (43): 223-238, 1993

      6 X. H. Wang, "On the domain of convergence of Newton's method" 25 : 36-37, 1980

      7 M. A. Hernandez, "On the ball of convergence of secant-like methods for non-differentiable operators" 273 : 506-512, 2016

      8 I. K. Argyros, "On an improved local convergence analysis for the secant method" 52 (52): 257-271, 2009

      9 F. A. Potra, "Nondiscrete induction and iterative processes, Research Notes in Mathematics, 103" Pitman (Advanced Publishing Program) 1984

      10 P. Deuflhard, "Newton methods for nonlinear problems, Springer Series in Computational Mathematics, 35" Springer-Verlag 2004

      11 H. Ren, "Local convergence of effcient Secant-type methods for solving nonlinear equations" 218 (218): 7655-7664, 2012

      12 J. F. Traub, "Iterative Methods for the Solution of Equations, Prentice-Hall Series in Automatic Computation" Prentice-Hall, Inc. 1964

      13 L. V. Kantorovich, "Functional Analysis" Pergamon Press 1982

      14 X. H. Wang, "Error estimates for some numerical root-finding methods" 22 (22): 638-642, 1979

      15 I. K. Argyros, "Computational theory of iterative methods, Series: Studies in Computational Mathematics 15" Elservier Publ. Co. 2007

      16 M. A. Hernandez, "A uniparametric family of iterative processes for solving nondifferentiable equations" 275 (275): 821-834, 2002

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      연월일 이력구분 이력상세 등재구분
      2023 평가예정 해외DB학술지평가 신청대상 (해외등재 학술지 평가)
      2020-01-01 평가 등재학술지 유지 (해외등재 학술지 평가) KCI등재
      2010-01-01 평가 등재학술지 유지 (등재유지) KCI등재
      2008-01-01 평가 등재학술지 유지 (등재유지) KCI등재
      2006-01-01 평가 등재학술지 유지 (등재유지) KCI등재
      2004-01-01 평가 등재학술지 유지 (등재유지) KCI등재
      2001-07-01 평가 등재학술지 선정 (등재후보2차) KCI등재
      1999-01-01 평가 등재후보학술지 선정 (신규평가) KCI등재후보
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      학술지 인용정보

      학술지 인용정보
      기준연도 WOS-KCI 통합IF(2년) KCIF(2년) KCIF(3년)
      2016 0.4 0.14 0.3
      KCIF(4년) KCIF(5년) 중심성지수(3년) 즉시성지수
      0.23 0.19 0.375 0.03
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