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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국전산응용수학회 Journal of applied mathematics & informatics Journal of applied mathematics & informatics 제31권 제3호
- 발행연도
- 2013.1
- 수록면
- 373 - 378 (6page)
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초록· 키워드
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In this paper, we consider two kinds of the Levenberg-Marquardt method for solve a system of nonlinear equations. We use line search on every iteration to guarantee that the Levenberg-Marquardt methods are globally convergent. Under mild conditions, we prove that while the de- scent condition can be satisfied at the iteration of the Levenberg-Marquardt method, the global convergence of the method can be established.
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참고문헌 (17)
참고문헌 신청
A. N. Iusem / 1997 / Newton-type methods with generalized distances for con- strained optimization / Optimization 41:257~278
Y. B. Zhao / 2001 / Monotonicity of fixed point and normal mappings associated with variational inequality and its application / SIAM Journal on Optimization 11:962~973
C. Wang / 2007 / A projection method for a system of nonlinear mono- tone equations with convex constraints / Mathematical Methods of Operations Research 66:36~46
W. J. Zhou / 2007 / Limited memory BFGS method for nonlinear monotone equations / Journal of Computational Mathematics 25:89~96
K. Levenberg / 1944 / A method for the solution of certain nonlinear problems in least squares / Quart. Appl. Math 2:164~166
Y. B. Zhao / 2001 / Monotonicity of fixed point and normal mappings associated with variational inequality and its application / SIAM Journal on Optimization 11:962~973
C. Wang / 2007 / A projection method for a system of nonlinear mono- tone equations with convex constraints / Mathematical Methods of Operations Research 66:36~46
W. J. Zhou / 2007 / Limited memory BFGS method for nonlinear monotone equations / Journal of Computational Mathematics 25:89~96
K. Levenberg / 1944 / A method for the solution of certain nonlinear problems in least squares / Quart. Appl. Math 2:164~166
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