New approaches to circle packing in a square : with program codes
著者
書誌事項
New approaches to circle packing in a square : with program codes
（Springer optimization and its applications, v. 6）
Springer, c2007
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注記
Other authors: M.Cs. Markót, T. Csendes, E. Specht, L.G. Casado, I. García
Includes bibliographical references (p. [219]-225) and index
内容説明・目次
内容説明
This book presents an overview of recent results achieved in solving the circle packing problem. It provides the reader with a comprehensive view of both theoretical and computational achievements. Illustrations of problem solutions are shown, elegantly displaying the results obtained.
目次
and Problem History.- Problem Definitions and Formulations.- Bounds for the Optimum Values.- Approximate Circle Packings Using Optimization Methods.- Other Methods for Finding Approximate Circle Packings.- Interval Methods for Validating Optimal Solutions.- The First Fully Interval-based Optimization Method.- The Improved Version of the Interval Optimization Method.- Interval Methods for Verifying Structural Optimality.- Repeated Patterns in Circle Packings.- Minimal Polynomials of Point Arrangements.- About the Codes Used.
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