Abstract
In this paper, we present a multi-point iterative Levenberg–Marquardt algorithm for singular nonlinear equations. The algorithm converges globally and the convergence order is studied under the local error bound condition, which is weaker than the nonsingularity of the Jacobian at the solution.
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Acknowledgments
The authors would like to thank the referees for the helpful and constructive suggestions, which have greatly improved the presentation of the paper.
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Communicated by Ernesto G. Birgin.
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Zhao, X., Fan, J. On the multi-point Levenberg–Marquardt method for singular nonlinear equations. Comp. Appl. Math. 36, 203–223 (2017). https://doi.org/10.1007/s40314-015-0221-8
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DOI: https://doi.org/10.1007/s40314-015-0221-8