The convergence of Broyden algorithms without convexity assumption

The convergence of Broyden algorithms without convexity assumption

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Article ID: iaor19981963
Country: China
Volume: 10
Issue: 4
Start Page Number: 289
End Page Number: 298
Publication Date: Oct 1997
Journal: Journal of Systems Science and Complexity
Authors:
Abstract:

In this paper, the author discusses the convergence of the Broyden algorithms without convexity and exact line search assumptions. He proves that if the objective function is suitably smooth and the algorithm produces a convergent point sequence, then the limit point of the sequence is a critical point of the objective function.

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