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arxiv: 0808.2316 · v1 · submitted 2008-08-17 · 🧮 math.OC · math.NA

A new secant method for unconstrained optimization

classification 🧮 math.OC math.NA
keywords methodcaselinearsecantunconstrainedalgorithmbasisbfgs
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We present a gradient-based algorithm for unconstrained minimization derived from iterated linear change of basis. The new method is equivalent to linear conjugate gradient in the case of a quadratic objective function. In the case of exact line search it is a secant method. In practice, it performs comparably to BFGS and DFP and is sometimes more robust.

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