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Zbl 0548.90062
Lukšan, Ladislav
Variable metric methods for a class of extended conic functions. (English)
[J] Kybernetika 21, 96-107 (1985). ISSN 0023-5954

The paper contains a description and an analysis of two variable metric algorithms for unconstrained minimization which find a minimum of an extended conic function after a finite number of steps provided it is possible to compute the derivatives of the model function at an arbitrary point $x\in R\sb n$. Moreover, the developed theory is applied to a special class of the exponential type of extended conic functions.

MSC 2000:: *90C30 Nonlinear programming
49M37 Methods of nonlinear programming type
65K05 Mathematical programming (numerical methods)

Keywords: finite step convergence; variable metric algorithms; unconstrained minimization; extended conic functions

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