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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2019.1
- 수록면
- 1,005 - 1,025 (21page)
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The paper is devoted to study local convergence of a continuation method under the assumption of majorant conditions. The method is used to approximate a zero of an operator in Banach space and is of third order. It is seen that the famous Kantorovich-type and Smale-type conditions are special cases of our majorant conditions. This infers that our result is a generalized one in comparison to results based on Kantorovich-type and Smale-type conditions. Finally a number of numerical examples have been computed to show applicability of the convergence analysis.
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참고문헌 (17)
참고문헌 신청
I. K. Argyros / 2008 / Convergence and Application of Newton-Type Iterations / Springer
V. Candela / 1990 / Recurrence relation for rational cubic methods II:the Chebyshev method / Computing 45:355~367
E.L. Allgower / 1990 / Numerical Continuation Methods: An Introduction / Springer
J.M. Gutierrez / 1997 / A family of Chebyshev-Halley type methods in Banach spaces / Bull. Aust. Math. Soc 55:113~130
J.M. Gutierrez / 2001 / An acceleration of Newton's method : super-Halley method / Appl. Math. Comput 117:223~239
V. Candela / 1990 / Recurrence relation for rational cubic methods II:the Chebyshev method / Computing 45:355~367
E.L. Allgower / 1990 / Numerical Continuation Methods: An Introduction / Springer
J.M. Gutierrez / 1997 / A family of Chebyshev-Halley type methods in Banach spaces / Bull. Aust. Math. Soc 55:113~130
J.M. Gutierrez / 2001 / An acceleration of Newton's method : super-Halley method / Appl. Math. Comput 117:223~239
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