OPTIMIZATIONS OF FREE POLYNOMIALS

被引：0
|
作者：
Cafuta, Kristijan [1 ]
Klep, Igor [2 ]
Povh, Janez [3 ]
机构：
[1] Univ Ljubljana, Fac Elect Engn, Trzaska Cesta 25, Ljubljana 1000, Slovenia
[2] Univ Auckland, Dept Math, Auckland 1142, New Zealand
[3] Fac Informat Studies Novo Mesto, Novo Mesto 8000, Slovenia
来源：
SOR'13 PROCEEDINGS: THE 12TH INTERNATIONAL SYMPOSIUM ON OPERATIONAL RESEARCH IN SLOVENIA | 2013年
关键词：
noncommutative polynomial; sum of squares; semidefinite programming; Matlab toolbox; free positivity; flat extension; GNS construction; NCSOStools; NONCOMMUTATIVE POLYNOMIALS; HERMITIAN SQUARES; SUMS; VARIABLES;
D O I：
暂无
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
In this paper we present algorithms and their implementations in the computational algorithms package NCSOStools for extraction of the global eigenvalue optimizers and extraction of eigenvalue optimizers over the free ball. They are based on free noncommutative analogs of the classical Gram matrix method, which allows us to use semidefinite programming, solution to a truncated free noncommutative moment problem via flat extensions and the Gelfand-Naimark-Segal (GNS) construction.
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页码：33 / 38
页数：6
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