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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2010.1
- 수록면
- 307 - 319 (13page)
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We provide a new semilocal convergence analysis of the Gauss{Newton method (GNM) for solving nonlinear equation in the Euclidean space. Using our new idea of recurrent functions, and a combination of center{Lipschitz, Lipschitz conditions, we provide under the same or weaker hypotheses than before [7]-[13], a tighter convergence analysis. The results can be extented in case outer or generalized inverses are used. Numerical examples are also provided to show that our results apply, where others fail [7]-[13].
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참고문헌 (14)
참고문헌 신청
Argyros, I.K / 2004 / On the Newton-Kantorovich hypothesis for solving equations / J. Comput. Appl. Math. 169 : 315 ~ 332
Argyros, I.K. / 1999 / Convergence domains for some iterative processes in Banach spaces using outer or generalized inverses / J. Comput. Anal. Appl. 1 : 87 ~ 104
Argyros, I.K. / 2005 / A convergence analysis for Newton-like methods for singular equations using outer or generalized inverses / Applicationes Mathematicae 32 : 37 ~ 49
Argyros, I.K. / 2005 / On the semilocal convergence of the Gauss-Newton method / Adv. Nonlinear Var. Inequal. 8 : 93 ~ 99
Argyros, I.K. / 2008 / Convergence and applications of Newton-type iterations / Springer-Verlag
Argyros, I.K. / 1999 / Convergence domains for some iterative processes in Banach spaces using outer or generalized inverses / J. Comput. Anal. Appl. 1 : 87 ~ 104
Argyros, I.K. / 2005 / A convergence analysis for Newton-like methods for singular equations using outer or generalized inverses / Applicationes Mathematicae 32 : 37 ~ 49
Argyros, I.K. / 2005 / On the semilocal convergence of the Gauss-Newton method / Adv. Nonlinear Var. Inequal. 8 : 93 ~ 99
Argyros, I.K. / 2008 / Convergence and applications of Newton-type iterations / Springer-Verlag
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