Convergence analysis of the nonlinear block scaled ABS methods |
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Authors: | Z J Huang |
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Institution: | (1) Department of Statistics and Operations Research, Fudan University, Shanghai, China |
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Abstract: | In this paper, by a further investigation of the algorithm structure of the nonlinear block scaled ABS methods, we convert it into an inexact Newton method. Based on this equivalent version, we establish the semilocal convergence theorem of the nonlinear block scaled ABS methods and obtain convergence conditions that mainly depend on the behavior of the mapping at the initial point. This complements the convergence theory of the nonlinear block scaled ABS methods. |
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Keywords: | Nonlinear block scaled ABS methods inexact Newton method semilocal convergence |
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