| 000 -LEADER |
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| fixed length control field |
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| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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240219b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781441998064 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
519.6 |
| Item number |
KOR |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Korner, Mark Christoph |
| 245 ## - TITLE STATEMENT |
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| Title |
Minisum hyperspheres |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Name of publisher, distributor, etc |
Springer, |
| Place of publication, distribution, etc |
New York : |
| Date of publication, distribution, etc |
2011 |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
viii, 115 p. ; |
| Other physical details |
ill. , |
| Dimensions |
25 cm |
| 365 ## - TRADE PRICE |
|---|
| Price amount |
104.99 |
| Price type code |
€ |
| Unit of pricing |
94.80 |
| 490 ## - SERIES STATEMENT |
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| Series statement |
Springer optimization and its applications |
| Volume number/sequential designation |
v.51 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references and index. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
This volume presents a self-contained introduction to the theory of minisum hyperspheres. The minisum hypersphere problem is a generalization of the famous Fermat-Torricelli problem. The problem asks for a hypersphere minimizing the weighted sum of distances to a given point set. In the general framework of finite dimensional real Banach spaces, the minisum hypersphere problem involves defining a hypersphere and calculating the distance between points and hyperspheres. The theory of minisum hyperspheres is full of interesting open problems which impinge upon the larger field of geometric optimization. This work provides an overview of the history of minisum hyperspheres as well as describes the best techniques for analyzing and solving minisum hypersphere problems. Related areas of geometric and nonlinear optimization are also discussed. ¡Key features of Minisum Hyperspheres include: ¡-assorted applications of the minisum hypersphere problem - a discussion on the existence of a solution to the problem with respect to Euclidean and other norms - several proposed extensions to the problem, including a highlight of positive and negative weights and extensive facilities extensions This work is the first book devoted to this area of research and will be of great interest to graduate students and researchers studying the minisum hypersphere problems as well as mathematicians interested in geometric optimization. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Sphere |
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| Topical term or geographic name as entry element |
Rectangle location problem |
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| Topical term or geographic name as entry element |
Polyhedral norm |
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| Topical term or geographic name as entry element |
Optimal solution |
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| Topical term or geographic name as entry element |
Intersection point |
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| Topical term or geographic name as entry element |
Fixed points |
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| Topical term or geographic name as entry element |
Finite dominating set |
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| Topical term or geographic name as entry element |
Banach space |
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| Topical term or geographic name as entry element |
Arbitrary norms |
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| Topical term or geographic name as entry element |
Banach spaces |
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| Topical term or geographic name as entry element |
Mathematical optimization |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
|
| Item type |
Books |