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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국전산응용수학회 Journal of applied mathematics & informatics Journal of applied mathematics & informatics 제33권 제1호
- 발행연도
- 2015.1
- 수록면
- 127 - 143 (17page)
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In this paper, we consider a modified inexact Newton method for solving a nonlinear system F(x) = 0 where $F(x):R^n{\rightarrow}R^n$. The basic idea is to accelerate convergence. A semi-local convergence theorem for the modified inexact Newton method is established and an affine invariant version is also given. Moreover, we test three numerical examples which show that the modified inexact scheme is more efficient than the classical inexact Newton strategy.
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참고문헌 (36)
참고문헌 신청
H. B. An. / 2007 / A choice of forcing terms in inexact Newton method / J. Comput. Appl. Math 200:47~60
I. K. Argyros / 2009 / On the semilocal convergence of inexact Newton methods in Banach spaces / J. Comput. Appl. Math 228:434~443
I. K. Argyros / 1999 / A new convergence theorem for the inexact Newton methods based on assumptions involving the second Fr´echet derivative / Comput. Math. Appl 37:109~115
Z. Z. Bai. / 1994 / On the affine invariant convergence theorems of inexact Newton method and Broyden’s method / J., UEST China 23:535~539
Z. J. Bai / 2006 / Inexact Newton methods for inverse eigenvalue problems / Appl. Math. Comput 172:682~689
I. K. Argyros / 2009 / On the semilocal convergence of inexact Newton methods in Banach spaces / J. Comput. Appl. Math 228:434~443
I. K. Argyros / 1999 / A new convergence theorem for the inexact Newton methods based on assumptions involving the second Fr´echet derivative / Comput. Math. Appl 37:109~115
Z. Z. Bai. / 1994 / On the affine invariant convergence theorems of inexact Newton method and Broyden’s method / J., UEST China 23:535~539
Z. J. Bai / 2006 / Inexact Newton methods for inverse eigenvalue problems / Appl. Math. Comput 172:682~689
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