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A Framework for Reduce-or-Retreat Minimization

  • Adam B. Levy
Chapter
Part of the SpringerBriefs in Optimization book series (BRIEFSOPTI)

Abstract

We introduce our framework, including all of the elements generated at each iteration, as well as the major components of reduction and retreat. The property of nonincreasing function values inherent in the framework is strengthened via the definition of a descent method, and lower-diminishing target-gaps are explored as the result of a successful run of a method within the framework. Finally, we develop our extended notion of approaching stationarity and link this property both to stationary points and to lower-diminishing target-gaps.

Keywords

Stationary Point Descent Method Trial Point Nonincreasing Function Extended Notion 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Adam B. Levy 2012

Authors and Affiliations

  • Adam B. Levy
    • 1
  1. 1.Department of MathematicsBowdoin CollegeBrunswickUSA

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