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CRC Press Arc-Search Techniques for Interior-Point Methods

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Description

Explore a vital area of numerical optimization with Arc-Search Techniques for Interior-Point Methods from CRC Press. This book focuses on the development and evolution of interior-point algorithms, a field that gained significant traction in the 1980s. As researchers recognized that simplex algorithms lacked polynomial time convergence, interior-point methods emerged as a solution with provable polynomial time convergence. For many years, a gap existed between the theoretical polynomial bounds of these algorithms and their actual computational efficiency. This text addresses the complexities of that relationship, specifically looking at how strategies used to increase computational efficiency often acted as barriers to proving theoretical bounds. This book provides the necessary context for understanding these mathematical challenges and the progress made in bridging the gap between theory and practical application in optimization.

Key Features

Detailed discussion of interior-point methods within the field of numerical optimization.

Analysis of the historical shift from simplex algorithms to polynomial time convergence models.

Examination of the gap between theoretical polynomial bounds and practical algorithm efficiency.

Insights into how computational efficiency strategies impact mathematical proofs.

Technical coverage suitable for those studying algorithms and computing.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
27 November 2020
Listed Since
29 May 2020

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