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Volumn 104, Issue 3, 2000, Pages 501-515

Second-derivative-free variant of the Chebyshev method for nonlinear equations

Author keywords

Chebyshev method; Multipoint iterations; Nonlinear equations in Banach spaces; Third order methods

Indexed keywords

BANACH SPACES; NUMERICAL METHODS;

EID: 0034348365     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1004618223538     Document Type: Article
Times cited : (74)

References (12)
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    • (1990) Computing , vol.45 , pp. 355-367
    • Candela, V.1    Marquina, A.2
  • 3
    • 0001131871 scopus 로고
    • Einige sätze über das verfahren der tangierenden hyperbeln in Banach-Räumen
    • 3. DÖRING, B., Einige Sätze über das Verfahren der Tangierenden Hyperbeln in Banach-Räumen, Aplikace Matematiky, Vol. 15, pp. 418-464, 1970.
    • (1970) Aplikace Matematiky , vol.15 , pp. 418-464
    • Döring, B.1
  • 5
    • 0003207251 scopus 로고
    • Toward a unified convergence theory for Newton-like methods
    • Edited by L. B. Rall, Academic Press, New York, NY
    • 5. DENNIS, J. E., Toward a Unified Convergence Theory for Newton-Like Methods, Nonlinear Functional Analysis and Applications, Edited by L. B. Rall, Academic Press, New York, NY, 1971.
    • (1971) Nonlinear Functional Analysis and Applications
    • Dennis, J.E.1
  • 7
    • 0000816132 scopus 로고
    • The Kantorovich theorem for Newton's method
    • 7. TAPIA, R. A., The Kantorovich Theorem for Newton's Method, American Mathematical Monthly, Vol. 78, pp. 389-392, 1971.
    • (1971) American Mathematical Monthly , vol.78 , pp. 389-392
    • Tapia, R.A.1
  • 8
    • 0002865409 scopus 로고
    • The majorant principle for Newton's method
    • 8. KANTOROVICH, L. V., The Majorant Principle for Newton's Method, Doklady Akademii Nauk SSSR, Vol. 76, pp. 17-20, 1951.
    • (1951) Doklady Akademii Nauk SSSR , vol.76 , pp. 17-20
    • Kantorovich, L.V.1
  • 11
    • 0001632262 scopus 로고
    • Results on the Chebyshev method in Banach spaces
    • 11. ARGYROS, I. K., and CHEN, D., Results on the Chebyshev Method in Banach Spaces, Proyecciones, Vol. 12, pp. 119-128, 1993.
    • (1993) Proyecciones , vol.12 , pp. 119-128
    • Argyros, I.K.1    Chen, D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.