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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국산업응용수학회 JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS Journal of the Korean Society for Industrial and Applied Mathematics Vol.15 No.1
- 발행연도
- 2011.3
- 수록면
- 19 - 30 (12page)
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초록· 키워드
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In [21], we compared the Newton-Krylov method and some high-order methods to solve nonlinear systems. In this paper, we propose high-order Newton-Krylov methods combining the Newton-Krylov method with some high-order iterative methods to solve systems of nonlinear equations. We provide some numerical experiments including comparisons of CPU time and iteration numbers of the proposed high-order Newton-Krylov methods for several nonlinear systems.
목차
ABSTRACT
1. INTRODUCTION
2. NEWTON-KRYLOV METHOD
3. HIGH ORDER NEWTON-KRYLOV METHODS
4. NUMERICAL RESULTS
REFERENCES
참고문헌 (37)
참고문헌 신청
M. Drexler / 1997 / Newton method as a global solver for non-linear problems
S. Amat / 2003 / Geometric constructions of iterative methods to solve nonlinear equations / Comp. Appl. Math 157:197~205
J.M. Gutierrez / 1997 / A family of Chebyshev-Halley type methods in Banach spaces / Bull. Austral. Math. Soc 55:113~130
D.K.R. Babajee / 2008 / A note on the local convergence of iterative methods based on Adomian decomposition method and 3-node quadrature rule / Appl. Math. Comput 200:452~458
D.K.R. Babajee / 2006 / An analysis of the properties of the variants of Newton’s method with third order convergence / Appl. Math. Comput 183:659~684
S. Amat / 2003 / Geometric constructions of iterative methods to solve nonlinear equations / Comp. Appl. Math 157:197~205
J.M. Gutierrez / 1997 / A family of Chebyshev-Halley type methods in Banach spaces / Bull. Austral. Math. Soc 55:113~130
D.K.R. Babajee / 2008 / A note on the local convergence of iterative methods based on Adomian decomposition method and 3-node quadrature rule / Appl. Math. Comput 200:452~458
D.K.R. Babajee / 2006 / An analysis of the properties of the variants of Newton’s method with third order convergence / Appl. Math. Comput 183:659~684
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UCI(KEPA) : I410-ECN-0101-2012-410-004224081