Remarks on positivity of α-determinants via SDP relaxation - Collections

＜journal article＞
Remarks on positivity of α-determinants via SDP relaxation

Creator	Creator Name Osogami, Takayuki 恐神, 貴行オソガミ, タカユキ
	Author PID K002498 Creator Name Shirai, Tomoyuki 白井, 朋之シライ, トモユキ
	Author PID K004738 Creator Name Waki, Hayato 脇, 隼人ワキ, ハヤト
Language	English
Publisher	Faculty of Mathematics, Kyushu University
Publisher	九州大学大学院数理学研究院
Date	2013
Source Title	Journal of Math-for-Industry (JMI)
Vol	5
Issue	A
First Page	1
Last Page	10
Publication Type	Version of Record
Access Rights	open access
Related DOI	JMI ; 2013A-1
Related DOI	Journal of Math-for-Industry \|\| 5(A) \|\| p1-10
	JMI \|\| 5(A) \|\| p1-10
	http://gcoe-mi.jp/
Related URI	Journal of Math-for-Industry \|\| 5(A) \|\| p1-10
	JMI \|\| 5(A) \|\| p1-10
	http://gcoe-mi.jp/
Relation	JMI ; 2013A-1
	Journal of Math-for-Industry \|\| 5(A) \|\| p1-10
	JMI \|\| 5(A) \|\| p1-10
	http://gcoe-mi.jp/
Abstract	After we survey our positivity problem for α-determinants of matrices, we reformulate it as polynomial optimization problems. By using SDP relaxation, we perform numerical computation for these optimi...zation problems. We also give SOS representations for the α-determinants to obtain the optimal value when the matrix size n = 3, and give conjectures for n = 4, 5.show more

File	FileType	Size	Views	Description
2013A-1	pdf	182 KB	186

Record ID	1397712
Peer-Reviewed	Refereed
Subject Terms	α-determinant
	determinant
	permanent
	point process
	positivity
	SDP relaxation
	SOS representation
ISSN	1884-4774
NCID	AA12444018
Notes	MI: Global COE Program Education-and-Research Hub for Mathematics-for-Industry
Notes	グローバルCOEプログラム「マス･フォア･インダストリ教育研究拠点」
Type	学術雑誌論文
Created Date	2014.01.07
Modified Date	2020.11.27