Acta Numerica 1995 (Volume 4) by Arieh Iserles

By Arieh Iserles

Acta Numerica has verified itself because the major discussion board for the presentation of definitive stories of numerical research issues. Highlights of this year's factor contain 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 quick snatch the present developments and advancements during this box.

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Extra resources for Acta Numerica 1995 (Volume 4)

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The reduced Hessian approach has been introduced by Omojokun (1989) who also considers the case when inequality constraints are present. This approach has also been used by Lalee, Nocedal and Plantega (1993) for large-scale problems. 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.

D. Domich, J. E. Rogers and C. Witzgall (1991), 'An interior point method for linear and quadratic programming problems', Mathematical Programming Society Committee on Algorithms Newsletter 19, 32-40. P. T. Boggs, P. D. Domich, J. E. Rogers and C. Witzgall (1994), 'An interior-point method for general large scale quadratic programming problems', Internal report (in progress), National Institute of Standards and Technology. P. T. Boggs and J. W. Tolle (1980), 'Augmented Lagrangians which are quadratic in the multiplier', Journal of Optimization Theory and Applications 31, 17-26.

The reduced Hessian approach has been introduced by Omojokun (1989) who also considers the case when inequality constraints are present. This approach has also been used by Lalee, Nocedal and Plantega (1993) for large-scale problems. 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.

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