Ji-Wei Zhang and Jin-Ping Zeng
Key words:
BFGS method, global convergence, superlinear convergence
Mathematices Subject Classification: 90C53, 65K05
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Copyright© 2006 Yokohama Publishers
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Abstract:
In this paper, we propose a modified BFGS method (mBFGS) for unconstrained optimization. This method possesses global convergence property without convexity assumption on the objective function. Under certain conditions, we establish the superlinear convergence of the method.
Analysis of a quasi-Newton method for unconstrained optimization

Special Issue on Conjugate Gradient and Quasi-Newton Methods for Nonlinear Optimization
Volume 2, Number 1, January 2006, pp. 135-147