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Volumn 106, Issue 1, 1999, Pages 1-16

On the error estimates of several Newton-like methods

Author keywords

65j; Convergence; Error estimate; Information at initial point(s)

Indexed keywords


EID: 0039171404     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(98)10085-1     Document Type: Article
Times cited : (6)

References (14)
  • 3
    • 0016035394 scopus 로고
    • Optimal error bounds for the Newton-Kantorovitch theorem
    • Gragg W., Tapia R.A. Optimal error bounds for the Newton-Kantorovitch theorem. SIAM. J. Numer. Anal. 11:1974;10-13.
    • (1974) SIAM. J. Numer. Anal , vol.11 , pp. 10-13
    • Gragg, W.1    Tapia, R.A.2
  • 5
    • 0002521058 scopus 로고
    • A Note on the convergence of Newton's method
    • Rall L.B. A Note on the convergence of Newton's method. SIAM J. Numer. Anal. 11:1974;34-36.
    • (1974) SIAM J. Numer. Anal. , vol.11 , pp. 34-36
    • Rall, L.B.1
  • 7
    • 0000205950 scopus 로고
    • A method for finding sharp error bounds for Newton'smethod under the Kantorovitch assumptions
    • Yamamoto T. A method for finding sharp error bounds for Newton'smethod under the Kantorovitch assumptions. Numer. Math. 49:1986;203-220.
    • (1986) Numer. Math. , vol.49 , pp. 203-220
    • Yamamoto, T.1
  • 8
    • 38249006181 scopus 로고
    • A note on the Kantorovitch theorem for the Newton iteration
    • Huang Z. A note on the Kantorovitch theorem for the Newton iteration. J. Comput. Appl. Math. 47:1993;211-217.
    • (1993) J. Comput. Appl. Math. , vol.47 , pp. 211-217
    • Huang, Z.1
  • 9
    • 0031550718 scopus 로고    scopus 로고
    • A new semilocal convergence theorem for Newton's method
    • Gutierrez J.M. A new semilocal convergence theorem for Newton's method. J. Comput. Appl. Math. 79:1997;131-145.
    • (1997) J. Comput. Appl. Math , vol.79 , pp. 131-145
    • Gutierrez, J.M.1
  • 10
    • 0023827018 scopus 로고
    • On the method of Tangent Hyperbolas in Banach Spaces
    • Yamamoto T. On the method of Tangent Hyperbolas in Banach Spaces. J. Comput. Appl. Math. 21:1988;75-86.
    • (1988) J. Comput. Appl. Math. , vol.21 , pp. 75-86
    • Yamamoto, T.1
  • 11
    • 0038835143 scopus 로고    scopus 로고
    • A construction procedure of iteratives methods with cubical convergence
    • Ezquerro J.A., Gutierrez J.M., Hernandez M.A. A construction procedure of iteratives methods with cubical convergence. Appl. Math. Comput. 85:1997;181-198.
    • (1997) Appl. Math. Comput. , vol.85 , pp. 181-198
    • Ezquerro, J.A.1    Gutierrez, J.M.2    Hernandez, M.A.3
  • 12
    • 0000854252 scopus 로고
    • On the convergence of L.V. Kantorovitch's method of solution of functional equations and its applications (in Russian)
    • I. Mysovskii, On the convergence of L.V. Kantorovitch's method of solution of functional equations and its applications (in Russian), Dokl. Akad. Nauk. SSSR. 70 (1950) 148, 565-568.
    • (1950) Dokl. Akad. Nauk. SSSR. , vol.70 , Issue.148 , pp. 565-568
    • Mysovskii, I.1
  • 14
    • 0039987500 scopus 로고
    • On error estimates for some numerical root-finding methods
    • Wang X. On error estimates for some numerical root-finding methods. Acta. Math. Sinica (in Chinese). 22:1979;638-642.
    • (1979) Acta. Math. Sinica (In Chinese) , vol.22 , pp. 638-642
    • Wang, X.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.