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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2008.1
- 수록면
- 161 - 168 (8page)
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초록· 키워드
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We revisit the study of finding solutions of equations containing a differentiable and a continuous term on a Banach space setting [1]-[5], [9]-[11]. Using more precise majorizing sequences than before [9]-[11], we provide a semilocal convergence analysis for the generalized Newton’s
method as well the generalized modified Newton’s method. It turns out that under the same or even weaker hypotheses: finer error estimates on the distances involved, and an at least as precise information on the location of the solution can be obtained. The above benefits are obtained under the same computational cost.
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참고문헌 (11)
참고문헌 신청
Argyros, I.K / 2004 / A unifying local-semilocal convergence analysis and applications for twopoint Newton-like methods in Banach space / J. Math. Anal. and Applic 298 : 374
Argyros, I.K / 2005 / Approximate solutions of operator equations with applications / World Scientific Publ. Co.
Argyros, I.K. / 2004 / On the Newton-Kantorovich hypotheses for salving equations / J. Comput. Appl. Math 11 : 103 ~ 110
Chen, X. / 1989 / Convergence domains of certain iterative methods for solving nonlinear equations / Numer. Funct. Anal. and optimiz 10 : 37 ~ 48
Gutierrez. J.M. / 1995 / Accesibility of solutions by Newton’s method, Internat / J. Comput. Math 57 : 239 ~ 247
Argyros, I.K / 2005 / Approximate solutions of operator equations with applications / World Scientific Publ. Co.
Argyros, I.K. / 2004 / On the Newton-Kantorovich hypotheses for salving equations / J. Comput. Appl. Math 11 : 103 ~ 110
Chen, X. / 1989 / Convergence domains of certain iterative methods for solving nonlinear equations / Numer. Funct. Anal. and optimiz 10 : 37 ~ 48
Gutierrez. J.M. / 1995 / Accesibility of solutions by Newton’s method, Internat / J. Comput. Math 57 : 239 ~ 247
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