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- W2895947699 abstract "In this paper, we are concerned with the Shamanskii-like self-adaptive Levenberg–Marquardt methods for nonlinear equations. We consider two choices of Levenberg–Marquardt parameter. One of them is the standard self-adaptive Levenberg–Marquardt parameter, the other is nonmonotone self-adaptive Levenberg–Marquardt parameter by using the nonmonotone technique of Grippo, Lampariello and Lucidi. Under the error bound condition which is weaker than nonsingularity, we show that the Shamanskii-like self-adaptive Levenberg–Marquardt methods converge with Q -order ( m + 1 ) . Numerical experiments show the new algorithms are efficient and promising." @default.
- W2895947699 created "2018-10-26" @default.
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- W2895947699 date "2019-01-01" @default.
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- W2895947699 title "A Shamanskii-like self-adaptive Levenberg–Marquardt method for nonlinear equations" @default.
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- W2895947699 doi "https://doi.org/10.1016/j.camwa.2018.09.039" @default.
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