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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2009.1
- 수록면
- 153 - 157 (5page)
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Motivated by optimization considerations we revisit the work by Dontchev in [7] involving the convergence of Newton's method to a solution of a generalized equation in a Banach space setting. Using the same hypotheses and under the same computational cost we provide a finer convergence analysis for Newton's method by using more precise estimates.
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참고문헌 (11)
참고문헌 신청
A. L. Dontchev / 1994 / An inverse function theorem for set-valued maps / Proc. Amer. Math. Soc 121 : 481 ~ 484
A. L. Dontchev / 1996 / Local convergence of the Newton method for generalized equations / C.R. Acad. Sci. Paris, t 332 : 327 ~ 331
A. L. Dontchev / 1996 / Uniform convergence of the Newton method for Aubin continuous maps / Serdica Math. J 22 : 385 ~ 398
B. Xiao / 1994 / A nonsmooth Newton method for variational inequalities I / Theory, Math. Programming 65 : 151 ~ 194
I. K. Argyros / 2004 / A unifying local-semilocal convergence analysis and applications for two- point Newton-like methods in Banach space / J. Math. Anal. Appl 298 : 374 ~ 3
A. L. Dontchev / 1996 / Local convergence of the Newton method for generalized equations / C.R. Acad. Sci. Paris, t 332 : 327 ~ 331
A. L. Dontchev / 1996 / Uniform convergence of the Newton method for Aubin continuous maps / Serdica Math. J 22 : 385 ~ 398
B. Xiao / 1994 / A nonsmooth Newton method for variational inequalities I / Theory, Math. Programming 65 : 151 ~ 194
I. K. Argyros / 2004 / A unifying local-semilocal convergence analysis and applications for two- point Newton-like methods in Banach space / J. Math. Anal. Appl 298 : 374 ~ 3
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