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Parametric approach to a class of nonconvex global optimization problems

 

作者: Phan Thien Thach,   Hoang Tuy,  

 

期刊: Optimization  （Taylor Available online 1988）
卷期: Volume 19, issue 1  

页码: 3-11

 

ISSN:0233-1934

 

年代: 1988

 

DOI:10.1080/02331938808843309

 

出版商: Akademic-Verlag

 

关键词: Design centering;nonconvex global optimization;parametic approach;d.c.maximization;Primary:90 C 30;Secondary:90 C 31s

 

数据来源: Taylor

 

摘要:

We present a parametric approach to the following nonconvex problem encountered in certain design calculations: Given a compact setSinRnand a symmetric positive definite n × n-matrixA, find a point x∈Rnand a positive number r such that the ellipsoidis contained inSand is largest possible We also discuss a problem in some sense dual to the above: find x∈Rnand f >0 such that the ellipsoidcontainsSand is smallest possible.

 

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