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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Computational optimization and applications 15 (2000), S. 103-123 
    ISSN: 1573-2894
    Keywords: nonlinearly constrained optimization ; equality constraints ; quasi-Newton methods ; BFGS ; quadratic penalty function ; reduced Hessian approximation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract We present a modified quadratic penalty function method for equality constrained optimization problems. The pivotal feature of our algorithm is that at every iterate we invoke a special change of variables to improve the ability of the algorithm to follow the constraint level sets. This change of variables gives rise to a suitable block diagonal approximation to the Hessian which is then used to construct a quasi-Newton method. We show that the complete algorithm is globally convergent. Preliminary computational results are reported.
    Type of Medium: Electronic Resource
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