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Part of the book series: Mathematics and Its Applications ((MAIA,volume 277))

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Abstract

Most of the papers on path-following methods are concerned with short-step methods. These methods are unattractive in practice since they use fixed short steps and small updates in the parameter, and therefore require many iterations. On the other hand, medium-and long-step path-following methods are much more flexible, since they allow to do large updates in the parameter and (approximate) line searches. In the literature such medium-and long-step methods are only analyzed for the logarithmic barrier method applied to linear programming.

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© 1994 Springer Science+Business Media Dordrecht

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den Hertog, D. (1994). Summary, conclusions and recommendations. In: Interior Point Approach to Linear, Quadratic and Convex Programming. Mathematics and Its Applications, vol 277. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1134-8_6

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  • DOI: https://doi.org/10.1007/978-94-011-1134-8_6

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4496-7

  • Online ISBN: 978-94-011-1134-8

  • eBook Packages: Springer Book Archive

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