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Volumn 275, Issue 2, 2002, Pages 821-834

A uniparametric family of iterative processes for solving nondifferentiable equations

Author keywords

Nondifferentiable operator; Secant method

Indexed keywords


EID: 0037113727     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-247X(02)00432-8     Document Type: Article
Times cited : (76)

References (8)
  • 1
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    • (1990) Mh. Math. , vol.109 , pp. 175-193
    • Argyros, I.K.1
  • 2
    • 0001345494 scopus 로고
    • On the secant method
    • I.K. Argyros, On the secant method, Publ. Math. Debrecen 43 (1993) 223-238.
    • (1993) Publ. Math. Debrecen , vol.43 , pp. 223-238
    • Argyros, I.K.1
  • 3
    • 0039205183 scopus 로고
    • A convergence theorem for Newton-like methods under generalized Chen-Yamamoto-type assumptions
    • I.K. Argyros, A convergence theorem for Newton-like methods under generalized Chen-Yamamoto-type assumptions, Appl. Math. Comput. 61 (1994) 25-37.
    • (1994) Appl. Math. Comput. , vol.61 , pp. 25-37
    • Argyros, I.K.1
  • 4
    • 0343725794 scopus 로고    scopus 로고
    • Multipoint super-Halley type approximation algorithms in Banach spaces
    • J.A. Ezquerro, M.A. Hernández, Multipoint super-Halley type approximation algorithms in Banach spaces, Numer. Funct. Anal. Optim. 21 (2000) 845-858.
    • (2000) Numer. Funct. Anal. Optim. , vol.21 , pp. 845-858
    • Ezquerro, J.A.1    Hernández, M.A.2
  • 5
    • 0012605421 scopus 로고    scopus 로고
    • A new type of recurrence relations for the secant method
    • M.A. Hernández, M.J. Rubio, A new type of recurrence relations for the secant method, Internat. J. Comput. Math. (1999) 477-490.
    • (1999) Internat. J. Comput. Math. , pp. 477-490
    • Hernández, M.A.1    Rubio, M.J.2
  • 6
    • 0034664280 scopus 로고    scopus 로고
    • Relaxing convergence conditions for Newton's method
    • M.A. Hernández, Relaxing convergence conditions for Newton's method, J. Math. Anal. Appl. 249 (2000) 463-475.
    • (2000) J. Math. Anal. Appl. , vol.249 , pp. 463-475
    • Hernández, M.A.1
  • 7
    • 0003875156 scopus 로고
    • Nondiscrete Induction and Iterative Processes
    • Pitman, New York
    • F.A. Potra, V Ptâk, Nondiscrete Induction and Iterative Processes, Pitman, New York, 1984.
    • (1984)
    • Potra, F.A.1    Ptâk, V.2
  • 8
    • 0023415814 scopus 로고
    • A note on a posteriori error bound of Zabrejko and Nguen for Zicenko's iteration
    • T. Yamamoto, A note on a posteriori error bound of Zabrejko and Nguen for Zicenko's iteration, Numer. Funct. Anal. Optim. 9 (1987) 987-994.
    • (1987) Numer. Funct. Anal. Optim. , vol.9 , pp. 987-994
    • Yamamoto, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.