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Volumn 106, Issue 1, 1999, Pages 311-326

On a convex acceleration of Newton's method

Author keywords

Convex acceleration of newton's method; Majorizing sequences; Newton kantorovich assumptions; Nonlinear equations

Indexed keywords

BANACH SPACES; NEWTON-RAPHSON METHOD;

EID: 0033632741     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1021730118905     Document Type: Article
Times cited : (21)

References (16)
  • 1
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    • A local convergence theorem for the super-halley method in a banach space
    • 1. CHEN, D., ARGYROS, I. K., and QIAN, Q. S., A Local Convergence Theorem for the Super-Halley Method in a Banach Space, Applied Mathematics Letters, Vol. 7, pp. 49-52, 1994.
    • (1994) Applied Mathematics Letters , vol.7 , pp. 49-52
    • Chen, D.1    Argyros, I.K.2    Qian, Q.S.3
  • 3
    • 0001440927 scopus 로고
    • A note on halley's method
    • 3. HERNÁNDEZ, M. A., A Note on Halley's Method, Numerische Mathematik, Vol. 59, pp. 273-276, 1991.
    • (1991) Numerische Mathematik , vol.59 , pp. 273-276
    • Hernández, M.A.1
  • 6
    • 0002385966 scopus 로고
    • Some methods for finding error bounds for newton-like methods under mild differentiability conditions
    • 6. ARGYROS, I. K., Some Methods for Finding Error Bounds for Newton-Like Methods under Mild Differentiability Conditions, Acta Mathematica Hungarica, Vol. 61, pp. 183-194, 1993.
    • (1993) Acta Mathematica Hungarica , vol.61 , pp. 183-194
    • Argyros, I.K.1
  • 8
    • 0002321366 scopus 로고
    • Iterations methods with divided differences of the second order
    • 8. ULM, S., Iterations Methods with Divided Differences of the Second Order, Doklady Adademii Nauk SSSR, Vol. 158, pp. 55-58, 1964; Soviet Mathematics Doklady, Vol. 5, pp. 1187-1190, 1964.
    • (1964) Doklady Adademii Nauk SSSR , vol.158 , pp. 55-58
    • Ulm, S.1
  • 9
    • 0002381779 scopus 로고
    • 8. ULM, S., Iterations Methods with Divided Differences of the Second Order, Doklady Adademii Nauk SSSR, Vol. 158, pp. 55-58, 1964; Soviet Mathematics Doklady, Vol. 5, pp. 1187-1190, 1964.
    • (1964) Soviet Mathematics Doklady , vol.5 , pp. 1187-1190
  • 10
    • 0002375699 scopus 로고
    • Convergence results for the super-halley method using divided differences
    • 9. ARGYROS, I. K., Convergence Results for the Super-Halley Method Using Divided Differences, Functiones et Approximatio Commentarii Mathematici, Vol. 23, pp. 109-122, 1994.
    • (1994) Functiones et Approximatio Commentarii Mathematici , vol.23 , pp. 109-122
    • Argyros, I.K.1
  • 12
    • 0021585816 scopus 로고
    • On an iterative algorithm of order 1.839. . . For solving nonlinear operator equations
    • 11. POTRA, F. A., On an Iterative Algorithm of Order 1.839. . . for Solving Nonlinear Operator Equations, Numerical Functional Analysis and Optimization, Vol. 7, pp. 75-106, 1984-85.
    • (1984) Numerical Functional Analysis and Optimization , vol.7 , pp. 75-106
    • Potra, F.A.1
  • 16
    • 0002214493 scopus 로고
    • A unified convergence theory for a class of iterative processes
    • 15. RHEINBOLDT, W. C., A Unified Convergence Theory for a Class of Iterative Processes, SIAM Journal on Numerical Analysis, Vol. 5, pp. 42-63, 1968.
    • (1968) SIAM Journal on Numerical Analysis , vol.5 , pp. 42-63
    • Rheinboldt, W.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.