How Long to Read Stationarity and Convergence in Reduce-or-Retreat Minimization

By Adam B. Levy

How Long Does it Take to Read Stationarity and Convergence in Reduce-or-Retreat Minimization?

It takes the average reader and 56 minutes to read Stationarity and Convergence in Reduce-or-Retreat Minimization by Adam B. Levy

Assuming a reading speed of 250 words per minute. Learn more

Description

​​​​​​ Stationarity and Convergence in Reduce-or-Retreat Minimization presents and analyzes a unifying framework for a wide variety of numerical methods in optimization. The author’s “reduce-or-retreat” framework is a conceptual method-outline that covers any method whose iterations choose between reducing the objective in some way at a trial point, or retreating to a closer set of trial points. The alignment of various derivative-based methods within the same framework encourages the construction of new methods, and inspires new theoretical developments as companions to results from across traditional divides. The text illustrates the former by developing two generalizations of classic derivative-based methods which accommodate non-smooth objectives, and the latter by analyzing these two methods in detail along with a pattern-search method and the famous Nelder-Mead method.In addition to providing a bridge for theory through the “reduce-or-retreat” framework, this monograph extends and broadens the traditional convergence analyses in several ways. Levy develops a generalized notion of approaching stationarity which applies to non-smooth objectives, and explores the roles of the descent and non-degeneracy conditions in establishing this property. The traditional analysis is broadened by considering “situational” convergence of different elements computed at each iteration of a reduce-or-retreat method. The “reduce-or-retreat” framework described in this text covers specialized minimization methods, some general methods for minimization and a direct search method, while providing convergence analysis which complements and expands existing results.​ ​

How long is Stationarity and Convergence in Reduce-or-Retreat Minimization?

Stationarity and Convergence in Reduce-or-Retreat Minimization by Adam B. Levy is 55 pages long, and a total of 14,025 words.

This makes it 19% the length of the average book. It also has 17% more words than the average book.

How Long Does it Take to Read Stationarity and Convergence in Reduce-or-Retreat Minimization Aloud?

The average oral reading speed is 183 words per minute. This means it takes 1 hour and 16 minutes to read Stationarity and Convergence in Reduce-or-Retreat Minimization aloud.

What Reading Level is Stationarity and Convergence in Reduce-or-Retreat Minimization?

Stationarity and Convergence in Reduce-or-Retreat Minimization is suitable for students ages 8 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

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