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  • 1
    Electronic Resource
    Electronic Resource
    Second-order conditions for an exact penalty function (1980)
    Springer
    Mathematical programming 19 (1980), S. 178-185 
    Details
    ISSN: 1436-4646
    Keywords: Nonlinear Programming ; Exact Penalty Function ; Constrained Optimization ; Piecewise Differentiable
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract In this paper we give first- and second-order conditions to characterize a local minimizer of an exact penalty function. The form of this characterization gives support to the claim that the exact penalty function and the nonlinear programming problem are closely related. In addition, we demonstrate that there exist arguments for the penalty function from which there are no descent directions even though these points are not minimizers.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01581639
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    A note on exploiting structure when using slack variables (1994)
    Springer
    Mathematical programming 67 (1994), S. 89-97 
    Details
    ISSN: 1436-4646
    Keywords: 65K05 ; 90C30 ; Large-scale problems ; Nonlinear optimization ; Numerical algorithms ; Slack variables ; Augmented Lagrangian
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract We show how to exploit the structure inherent in the linear algebra for constrained nonlinear optimization problems when inequality constraints have been converted to equations by adding slack variables and the problem is solved using an augmented Lagrangian method.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01582214
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