國立高雄大學圖資館 |

語系: 繁體中文

說明(常見問題)

圖資館首頁

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Optimization of polynomials in non-c...

Burgdorf, Sabine.

Optimization of polynomials in non-commuting variables

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Optimization of polynomials in non-commuting variablesby Sabine Burgdorf, Igor Klep, Janez Povh.
作者:	Burgdorf, Sabine.
其他作者:	Klep, Igor.
出版者:	Cham :Springer International Publishing :2016.
面頁冊數:	xv, 104 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Mathematical optimization.
電子資源:	http://dx.doi.org/10.1007/978-3-319-33338-0
ISBN:	9783319333380$q(electronic bk.)

Optimization of polynomials in non-commuting variables
Burgdorf, Sabine.

Optimization of polynomials in non-commuting variables[electronic resource] /by Sabine Burgdorf, Igor Klep, Janez Povh. - Cham :Springer International Publishing :2016. - xv, 104 p. :ill., digital ;24 cm. - SpringerBriefs in mathematics,2191-8198. - SpringerBriefs in mathematics..

This book presents recent results on positivity and optimization of polynomials in non-commuting variables. Researchers in non-commutative algebraic geometry, control theory, system engineering, optimization, quantum physics and information science will find the unified notation and mixture of algebraic geometry and mathematical programming useful. Theoretical results are matched with algorithmic considerations; several examples and information on how to use NCSOStools open source package to obtain the results provided. Results are presented on detecting the eigenvalue and trace positivity of polynomials in non-commuting variables using Newton chip method and Newton cyclic chip method, relaxations for constrained and unconstrained optimization problems, semidefinite programming formulations of the relaxations and finite convergence of the hierarchies of these relaxations, and the practical efficiency of algorithms.

ISBN: 9783319333380$q(electronic bk.)

Standard No.: 10.1007/978-3-319-33338-0doiSubjects--Topical Terms:

183292
Mathematical optimization.

LC Class. No.: QA402.5

Dewey Class. No.: 519.6

Optimization of polynomials in non-commuting variables
LDR:01927nmm a2200313 a 4500 001 490739
003 DE-He213
005 20161130114833.0
006 m d
007 cr nn 008maaau
008 170118s2016 gw s 0 eng d
020 $a 9783319333380$q(electronic bk.)
020 $a 9783319333366$q(paper)
024 7 $a 10.1007/978-3-319-33338-0 $2 doi
035 $a 978-3-319-33338-0
040 $a GP $c GP
041 0 $a eng
050 4 $a QA402.5
072 7 $a PBMW $2 bicssc
072 7 $a MAT012010 $2 bisacsh
082 0 4 $a 519.6 $2 23
090 $a QA402.5 $b .B954 2016
100 1 $a Burgdorf, Sabine. $3 750312
245 1 0 $a Optimization of polynomials in non-commuting variables $h [electronic resource] / $c by Sabine Burgdorf, Igor Klep, Janez Povh.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2016.
300 $a xv, 104 p. : $b ill., digital ; $c 24 cm.
490 1 $a SpringerBriefs in mathematics, $x 2191-8198
520 $a This book presents recent results on positivity and optimization of polynomials in non-commuting variables. Researchers in non-commutative algebraic geometry, control theory, system engineering, optimization, quantum physics and information science will find the unified notation and mixture of algebraic geometry and mathematical programming useful. Theoretical results are matched with algorithmic considerations; several examples and information on how to use NCSOStools open source package to obtain the results provided. Results are presented on detecting the eigenvalue and trace positivity of polynomials in non-commuting variables using Newton chip method and Newton cyclic chip method, relaxations for constrained and unconstrained optimization problems, semidefinite programming formulations of the relaxations and finite convergence of the hierarchies of these relaxations, and the practical efficiency of algorithms.
650 0 $a Mathematical optimization. $3 183292
650 0 $a Polynomials. $3 184760
650 0 $a Variables (Mathematics) $3 247697
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Algebraic Geometry. $3 274807
650 2 4 $a Quantum Computing. $3 573152
650 2 4 $a Operations Research, Management Science. $3 511451
650 2 4 $a Mathematical Software. $3 279828
650 2 4 $a Systems Theory, Control. $3 274654
700 1 $a Klep, Igor. $3 750313
700 1 $a Povh, Janez. $3 750314
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a SpringerBriefs in mathematics. $3 558795
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-33338-0
950 $a Mathematics and Statistics (Springer-11649)