SDP relaxation algorithms for P(P0)documentclass[12pt]{minimal}usepackage{amsmath}usepackage{wasysym}usepackage{amsfonts}usepackage{amssymb}usepackage{amsbsy}usepackage{mathrsfs}usepackage{upgreek}setlength{oddsidemargin}{-69pt}egin{document}$$mathbf {P}(mathbf {P}_0)$$end{document}-tensor detection

首页> 外文期刊>Computational optimization and applications >SDP relaxation algorithms for P(P0)documentclass[12pt]{minimal}usepackage{amsmath}usepackage{wasysym}usepackage{amsfonts}usepackage{amssymb}usepackage{amsbsy}usepackage{mathrsfs}usepackage{upgreek}setlength{oddsidemargin}{-69pt}egin{document}$$mathbf {P}(mathbf {P}_0)$$end{document}-tensor detection

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SDP relaxation algorithms for P(P0)documentclass[12pt]{minimal}usepackage{amsmath}usepackage{wasysym}usepackage{amsfonts}usepackage{amssymb}usepackage{amsbsy}usepackage{mathrsfs}usepackage{upgreek}setlength{oddsidemargin}{-69pt}egin{document}$$mathbf {P}(mathbf {P}_0)$$end{document}-tensor detection

机译：P（P0） DocumentClass [12pt]的SDP弛豫算法{MIMIMAL} usepackage {ammath} usepackage {kyysym} usepackage {amsfonts} usepackage {amssymb} usepackage {amsbsy} usepackage {mathrsfs} usepackage {supmeek} setLength { oddsidemargin} { - 69pt} begin {document} $$ mathbf {p}（ mathbf {p} _0）$$ end {document} -tensor检测

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Pdocumentclass[12pt]{minimal}usepackage{amsmath}usepackage{wasysym}usepackage{amsfonts}usepackage{amssymb}usepackage{amsbsy}usepackage{mathrsfs}usepackage{upgreek}setlength{oddsidemargin}{-69pt}egin{document}$$mathbf {P}$$end{document}-tensor and P0documentclass[12pt]{minimal}usepackage{amsmath}usepackage{wasysym}usepackage{amsfonts}usepackage{amssymb}usepackage{amsbsy}usepackage{mathrsfs}usepackage{upgreek}setlength{oddsidemargin}{-69pt}egin{document}$$mathbf {P}_0$$end{document}-tensor are introduced in tensor complementarity problem, which have wide applications in game theory. In this paper, we establish SDP relaxation algorithms for detecting P(P0)documentclass[12pt]{minimal}usepackage{amsmath}usepackage{wasysym}usepackage{amsfonts}usepackage{amssymb}usepackage{amsbsy}usepackage{mathrsfs}usepackage{upgreek}setlength{oddsidemargin}{-69pt}egin{document}$$mathbf {P}(mathbf {P}_0)$$end{document}-tensor. We first reformulate P(P0)documentclass[12pt]{minimal}usepackage{amsmath}usepackage{wasysym}usepackage{amsfonts}usepackage{amssymb}usepackage{amsbsy}usepackage{mathrsfs}usepackage{upgreek}setlength{oddsidemargin}{-69pt}egin{document}$$mathbf {P}(mathbf {P}_0)$$end{document}-tensor detection problem as polynomial optimization problems. Then we propose the SDP relaxation algorithms for solving the reformulated polynomial optimization problems. Numerical examples are reported to show the efficiency of the proposed algorithms.

机译：p documentclass [12pt] {minimal} usepackage {ammath} usepackage {kyysym} usepackage {amsfonts} usepackage {amssymb} usepackage {amsbsy} usepackage {mathrsfs} usepackage {supmeek} setLength { oddsidemargin} { - 69pt} begin {document} $$ mathbf {p} $$ end {document} -tensor和p0 documentclass [12pt] {minimal} usepackage {ammath} usepackage {kyysym} usepackage {amsfonts} usepackage {amssymb} usepackage {amsbsy} usepackage {mathrsfs} usepackage {supmeek} setLength { oddsidemargin} { - 69pt} begin {document} $$ mathbf {p} _0 $$$$$$$$$ {Document} -tensor在Tensor互补问题中引入，在博弈论中具有广泛的应用。在本文中，我们建立了检测P（P0） DocumentClass [12pt]的SDP弛豫算法[12pt] {minimal} usepackage {ammath} usepackage {kyysym} usepackage {amsfonts} usepackage {amssymb} usepackage {amsbsy} usepackage {mathrsfs} usepackage {supmeek} setLength { oddsidemargin} { - 69pt} begin {document} $$ mathbf {p}（ mathbf {p} _0）$$ end {document} -tensor。我们首先重新重整P（P0） DocumentClass [12pt] {minimal} usepackage {ammath} usepackage {kyysym} usepackage {amsfonts} usepackage {amssymb} usepackage {amsbsy} usepackage {mathrsfs} usepackage {supmeek} setLength { oddsidemargin} { - 69pt} begin {document} $$ mathbf {p}（ mathbf {p} _0）$$ end {document} -tensor检测问题作为多项式优化问题。然后我们提出了用于解决重新改造的多项式优化问题的SDP弛豫算法。据报道，据报道数值示例显示所提出的算法的效率。

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《Computational optimization and applications》 |2020年第3期|共14页
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中图分类最优化的数学理论;
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Tensor; Pdocumentclass12pt{minimal}usepackage{amsmath}usepackage{wasysym}usepackage{amsfonts}usepackage{amssymb}usepackage{amsbsy}usepackage{mathrsfs}usepackage{upgreek}setlength{oddsidemargin}{-69pt}egin{document}$$mathbf {P}$$end{document}-tensor; P0documentclass12pt{minimal}usepackage{amsmath}usepackage{wasysym}usepackage{amsfonts}usepackage{amssymb}usepackage{amsbsy}usepackage{mathrsfs}usepackage{upgreek}setlength{oddsidemargin}{-69pt}egin{document}$$mathbf {P}_0$$end{document}-tensor; Lasserre’s hierarchy; Semidefinite program; 15A18; 15A69; 90C22;

机译：张量;p documentclass [12pt] {minimal} usepackage {ammath} usepackage {isysym} usepackage {amsfonts} usepackage {amssysy} usepackage {mathrsfs} usepackage {mathek} setLength { ODDSIDEMARGIN} { - 69pt} begin {document} $$ nem {document} -tensor;p0 documentclass [12pt] {minimal} usepackage {ammath} usepackage {keyysym} usepackage { Amsfonts} usepackage {amssymb} usepackage {amsbsy} usepackage {mathrsfs} usepackage {supmeek} setLength { oddsideDemargin} {-69pt} begin {document} $$ mathbf {p} _0 $$ neg { 文档} -tensor;Lasserre的层次结构;SEMIDEFINITE计划;15A18;15A69;90C22;

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机译：广义 - <内联公式ID =“IEQ1”> <替代方案> m DocumentClass [12pt] {minimal} usepackage {ammath} usepackage {isysym} usepackage {amsfonts} usepackage {amsbsy} usepackage {mathrsfs} usepackage {supmeek} setLength { oddsidemargin} { - 69pt} begin {document} $$ natm {document} - <替代方案> （（ h 1 p ， H 2 Q ）？（ η 1 ， η 2 ）） documentClass [12pt] {minimal} usepackage {ammath} usepackage {isysym} usepackage {amsfonts} usepackage {amssymb} usepackage {amsbsy} usepackage {mathrsfs } usepackage {supmeek} setLength { oddsideDemargin} { - 69pt} begin {document} $$（（h_ {1} ^ {p}，h_ {2} ^ {q}）;（ eta _ {1 }， eta _ {2}））$$ end {document} -Convex通过扩展的广义式Mittag-Leffler功能映射
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