메뉴 건너뛰기




Volumn 38, Issue 4, 1998, Pages 619-635

Modifications of the Interval-Newton-Method with improved asymptotic efficiency

Author keywords

Interval Newton method; Modifications; Nonlinear algebraic or transcendental equations; Single equations

Indexed keywords


EID: 0001149521     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02510404     Document Type: Article
Times cited : (4)

References (13)
  • 2
    • 0347129026 scopus 로고
    • Algorithm 748: Enclosing zeros of continuous functions
    • G. Alefeld, F. A. Potra, and Y. Shi, Algorithm 748: Enclosing zeros of continuous functions, ACM Trans. Math. Software, 21:3 (1995), pp. 327-344.
    • (1995) ACM Trans. Math. Software , vol.21 , Issue.3 , pp. 327-344
    • Alefeld, G.1    Potra, F.A.2    Shi, Y.3
  • 3
    • 85033931812 scopus 로고    scopus 로고
    • Effective improvements of the interval-Newton-method
    • G. Alefeld, A. Frommer, and B. Lang, eds., Akademie-Verlag, Berlin
    • G. Alefeld, F. A. Potra, and W. Völker, Effective improvements of the interval-Newton-method, in Scientific Computing and Validated Numerics, G. Alefeld, A. Frommer, and B. Lang, eds., Akademie-Verlag, Berlin, 1996, pp. 133-139.
    • (1996) Scientific Computing and Validated Numerics , pp. 133-139
    • Alefeld, G.1    Potra, F.A.2    Völker, W.3
  • 4
    • 0001985536 scopus 로고
    • Inclusion methods for systems of nonlinear equations - The interval Newton method and modifications
    • (1994). J. Herzberger, ed., Elsevier, Amsterdam
    • G. Alefeld (1994). Inclusion methods for systems of nonlinear equations - the interval Newton method and modifications, in Topics in Validated Computations, J. Herzberger, ed., Elsevier, Amsterdam, 1994.
    • (1994) Topics in Validated Computations
    • Alefeld, G.1
  • 6
    • 0004293209 scopus 로고
    • Prentice-Hall, Englewood Cliffs, NJ
    • R. E. Moore, Interval Analysis, Prentice-Hall, Englewood Cliffs, NJ, 1966.
    • (1966) Interval Analysis
    • Moore, R.E.1
  • 8
    • 0021585816 scopus 로고
    • On an iterative algorithm of order 1.839 . . . for solving nonlinear operator equations
    • F. A. Potra, On an iterative algorithm of order 1.839 . . . for solving nonlinear operator equations, Numer. Funct. Anal. Optim., 7:1 (1984-1985), pp. 75-106.
    • (1984) Numer. Funct. Anal. Optim. , vol.7 , Issue.1 , pp. 75-106
    • Potra, F.A.1
  • 9
    • 0345867759 scopus 로고
    • A note on Brent's rootfinding method
    • G. Alefeld and J. Herzberger, eds., Akademie-Verlag, Berlin
    • F. A. Potra (1995), A note on Brent's rootfinding method, in Numerical Methods and Error Bounds, G. Alefeld and J. Herzberger, eds., Akademie-Verlag, Berlin, 1996, pp. 188-197.
    • (1995) Numerical Methods and Error Bounds , pp. 188-197
    • Potra, F.A.1
  • 12
    • 0002038715 scopus 로고
    • Theory of an interval algebra and its applications to numerical analysis
    • Gakujutsu, Bunken Fukyu-Kai
    • T. Sunaga, Theory of an interval algebra and its applications to numerical analysis, in RAAG Memoirs II, Gakujutsu, Bunken Fukyu-Kai, 1958.
    • (1958) RAAG Memoirs , vol.2
    • Sunaga, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.