메뉴 건너뛰기




Volumn 5, Issue 2, 1998, Pages 465-474

Improving the order and rates of convergence for the Super-Halley method in Banach spaces

Author keywords

Banach space; Majorizing sequence; Order of convergence; Rate of convergence; Super Halley method

Indexed keywords

APPROXIMATION THEORY; ERROR ANALYSIS;

EID: 84892046624     PISSN: 15985865     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf03008930     Document Type: Article
Times cited : (14)

References (16)
  • 1
    • 84971139349 scopus 로고
    • Quadratic equations and applications to Chandrasekhar's and related equations
    • Argyros, I.K. Quadratic equations and applications to Chandrasekhar's and related equations, Bull. Austral. Math. Soc. 32, (1985), 275-292.
    • (1985) Bull. Austral. Math. Soc. , vol.32 , pp. 275-292
    • Argyros, I.K.1
  • 2
    • 0039319888 scopus 로고
    • On the convergence of an euler-chebysheff-type method under newton-kantorovich hypotheses
    • Argyros, I.K. On the convergence of an Euler-Chebysheff-type method under Newton-Kantorovich hypotheses, Pure Math. Appl. Vol. 4, No. 3, (1993), 369-373.
    • (1993) Pure Math. Appl. , vol.4 , Issue.3 , pp. 369-373
    • Argyros, I.K.1
  • 3
    • 0002375699 scopus 로고
    • Convergence results for the Super-Halley method using divided differences
    • Argyros, I.K. Convergence results for the Super-Halley method using divided differences, Funct. et. Approx. Comment. Math. XXIII, (1994), 109-122.
    • (1994) Funct. Et. Approx. Comment. Math. , vol.23 , pp. 109-122
    • Argyros, I.K.1
  • 4
    • 0000298351 scopus 로고
    • A note on the Halley method in Banach spaces
    • Argyros, I.K., Chen, D. and Qian, Q.S. A note on the Halley method in Banach spaces, Appl. Math. Comp. 58, (1993), 215-224.
    • (1993) Appl. Math. Comp. , vol.58 , pp. 215-224
    • Argyros, I.K.1    Chen, D.2    Qian, Q.S.3
  • 6
    • 0001820687 scopus 로고
    • Affine invariant convergence theorems for Newton's method and extension to related methods
    • Deuflhard, P. and Heindl, G.A. Affine invariant convergence theorems for Newton's method and extension to related methods, SIAM J. Numer. Anal. 16, 1, (1979), 1-10.
    • (1979) SIAM J. Numer. Anal. , vol.16 , Issue.1 , pp. 1-10
    • Deuflhard, P.1    Heindl, G.A.2
  • 8
    • 0040393671 scopus 로고    scopus 로고
    • Resolution of quadratic equations in Banach spaces
    • Gutierez, J.M., Hernandez, M.A. and Salanova, Resolution of quadratic equations in Banach spaces, Numer. Funct. Anal. Optimiz. 17 (1 and 2), (1996), 113-121.
    • (1996) Numer. Funct. Anal. Optimiz. , vol.17 , Issue.1-2 , pp. 113-121
    • Gutierez, J.M.1    Hernandez, M.A.2    Salanova3
  • 10
    • 0001440927 scopus 로고
    • A note on Halley's method
    • Hernandez, M.A. A note on Halley's method, Num. Math. 59, 3, (1991), 273-276.
    • (1991) Num. Math. , vol.59 , Issue.3 , pp. 273-276
    • Hernandez, M.A.1
  • 13
    • 0040505149 scopus 로고
    • An analog of the process of tangent hyperbolas for general functional equations (Russian)
    • Mertvecova, M.A. An analog of the process of tangent hyperbolas for general functional equations (Russian), Dokl. Akad. Nauk SSSP, 88, (1953), 611-614.
    • (1953) Dokl. Akad. Nauk SSSP , vol.88 , pp. 611-614
    • Mertvecova, M.A.1
  • 14
    • 0039319893 scopus 로고
    • On Chebysheff's method for functional equations (Russian)
    • Necepurenko, M.T. On Chebysheff's method for functional equations (Russian), Usephi Mat. Nauk. 9, (1954), 163-170.
    • (1954) Usephi Mat. Nauk. , vol.9 , pp. 163-170
    • Necepurenko, M.T.1
  • 15
    • 0002727081 scopus 로고
    • Sharp error bounds for Newton's process
    • Potra, F.A. Sharp error bounds for Newton's process, Numer. Math. 34, (1980), 63-72.
    • (1980) Numer. Math. , vol.34 , pp. 63-72
    • Potra, F.A.1
  • 16
    • 0021585816 scopus 로고
    • An iterative algorithm of order 1.839. . . for solving nonlinear equations
    • Potra, F.A. An iterative algorithm of order 1.839. . . for solving nonlinear equations, Numer. Funct. Anal. Optimiz. 7, 1, (1984-85), 75-106.
    • (1984) Numer. Funct. Anal. Optimiz. , vol.7 , Issue.1 , pp. 75-106
    • Potra, F.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.