How Long to Read Self-Regularity

How Long Does it Take to Read Self-Regularity?

It takes the average reader 3 hours and 34 minutes to read Self-Regularity by Jiming Peng

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

Description

Research on interior-point methods (IPMs) has dominated the field of mathematical programming for the last two decades. Two contrasting approaches in the analysis and implementation of IPMs are the so-called small-update and large-update methods, although, until now, there has been a notorious gap between the theory and practical performance of these two strategies. This book comes close to bridging that gap, presenting a new framework for the theory of primal-dual IPMs based on the notion of the self-regularity of a function. The authors deal with linear optimization, nonlinear complementarity problems, semidefinite optimization, and second-order conic optimization problems. The framework also covers large classes of linear complementarity problems and convex optimization. The algorithm considered can be interpreted as a path-following method or a potential reduction method. Starting from a primal-dual strictly feasible point, the algorithm chooses a search direction defined by some Newton-type system derived from the self-regular proximity. The iterate is then updated, with the iterates staying in a certain neighborhood of the central path until an approximate solution to the problem is found. By extensively exploring some intriguing properties of self-regular functions, the authors establish that the complexity of large-update IPMs can come arbitrarily close to the best known iteration bounds of IPMs. Researchers and postgraduate students in all areas of linear and nonlinear optimization will find this book an important and invaluable aid to their work.

How long is Self-Regularity?

Self-Regularity by Jiming Peng is 208 pages long, and a total of 53,664 words.

This makes it 70% the length of the average book. It also has 66% more words than the average book.

How Long Does it Take to Read Self-Regularity Aloud?

The average oral reading speed is 183 words per minute. This means it takes 4 hours and 53 minutes to read Self-Regularity aloud.

What Reading Level is Self-Regularity?

Self-Regularity is suitable for students ages 12 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.

Where Can I Buy Self-Regularity?

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