## Scaling on diagonal quasi-Newton update for large-scale unconstrained optimization.(English)Zbl 1246.65092

The authors consider large-scale unconstrained optimization problems of the form $$\min_{x\in\mathbb{R}^n}\,f(x)$$ and give a class of quasi-Newton methods that use some diagonal matrices to approximate the Hessian. Numerical results are given.

### MSC:

 65K05 Numerical mathematical programming methods 90C06 Large-scale problems in mathematical programming 90C30 Nonlinear programming 90C53 Methods of quasi-Newton type

### Software:

minpack; CUTEr; CUTE
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