Download PDF by Arieh Iserles: Acta Numerica 1995 (Volume 4)

By Arieh Iserles

ISBN-10: 0521482550

ISBN-13: 9780521482554

Acta Numerica has validated itself because the major discussion board for the presentation of definitive reports of numerical research themes. Highlights of this year's factor comprise articles on sequential quadratic programming, mesh adaption, unfastened boundary difficulties, and particle equipment in continuum computations. The invited papers will let researchers and graduate scholars alike to speedy grab the present tendencies and advancements during this box.

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Get Acta Numerica 1995: Volume 4 (v. 4) PDF

Acta Numerica has demonstrated itself because the leading discussion board for the presentation of definitive reports of numerical research issues. Highlights of this year's factor contain articles on sequential quadratic programming, mesh adaption, loose boundary difficulties, and particle tools in continuum computations.

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7. Practical Considerations Our goal throughout this survey has been to concentrate on those theoretical properties that bear on actual implementations, but we have mentioned some of the difficulties that arise in the implementation of an SQP algorithm when the assumptions that we have made are not satisfied. In this section we elaborate on a few of the more important of these difficulties and suggest some common computational techniques that can be used to work around them. No attempt is made to be complete; the object is to give an indication of the issues involved.

13) also can be satisfied for a steplength of one. A significant disadvantage of the merit function (f)^ is that it may not allow a steplength of a = 1 near the solution, no matter how good the approximation of (QP) to (NLP). This phenomenon, which can prohibit superlinear convergence, is called the Maratos effect. Several procedures have been proposed to overcome this problem, including so-called nonmonotone line searches, that is, techniques that allow the merit function to increase over one or more iterations (see Section 7).

E. Gill, W. Murray, M. A. Saunders, G. W. Stewart and M. H. Wright (1985), 'Properties of a representation of a basis for the null space', Mathematical Programming 33, 172-186. P. E. Gill, W. Murray, M. A. Saunders and M. H. 0): A Fortran package for nonlinear programming', Technical Report SOL 2, Department of Operations Research, Stanford University. P. E. Gill, W. Murray and M. H. Wright (1981), Practical Optimization, Academic Press, New York. S. T. Glad (1979), 'Properties of updating methods for the multipliers in augmented Lagrangians', Journal of Optimization Theory and Applications 28, 135-156.

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Acta Numerica 1995 (Volume 4) by Arieh Iserles

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