严峻 发表于 2025-3-21 19:08:20

书目名称Optimization of Polynomials in Non-Commuting Variables影响因子(影响力)<br>        http://figure.impactfactor.cn/if/?ISSN=BK0703287<br><br>        <br><br>书目名称Optimization of Polynomials in Non-Commuting Variables影响因子(影响力)学科排名<br>        http://figure.impactfactor.cn/ifr/?ISSN=BK0703287<br><br>        <br><br>书目名称Optimization of Polynomials in Non-Commuting Variables网络公开度<br>        http://figure.impactfactor.cn/at/?ISSN=BK0703287<br><br>        <br><br>书目名称Optimization of Polynomials in Non-Commuting Variables网络公开度学科排名<br>        http://figure.impactfactor.cn/atr/?ISSN=BK0703287<br><br>        <br><br>书目名称Optimization of Polynomials in Non-Commuting Variables被引频次<br>        http://figure.impactfactor.cn/tc/?ISSN=BK0703287<br><br>        <br><br>书目名称Optimization of Polynomials in Non-Commuting Variables被引频次学科排名<br>        http://figure.impactfactor.cn/tcr/?ISSN=BK0703287<br><br>        <br><br>书目名称Optimization of Polynomials in Non-Commuting Variables年度引用<br>        http://figure.impactfactor.cn/ii/?ISSN=BK0703287<br><br>        <br><br>书目名称Optimization of Polynomials in Non-Commuting Variables年度引用学科排名<br>        http://figure.impactfactor.cn/iir/?ISSN=BK0703287<br><br>        <br><br>书目名称Optimization of Polynomials in Non-Commuting Variables读者反馈<br>        http://figure.impactfactor.cn/5y/?ISSN=BK0703287<br><br>        <br><br>书目名称Optimization of Polynomials in Non-Commuting Variables读者反馈学科排名<br>        http://figure.impactfactor.cn/5yr/?ISSN=BK0703287<br><br>        <br><br>

不来 发表于 2025-3-21 22:04:38

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MELON 发表于 2025-3-22 03:30:32

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美丽的写 发表于 2025-3-22 06:54:29

Cyclic Equivalence to Sums of Hermitian Squares,lgorithmic aspects of detecting members in .. We present a tracial version of the Gram matrix method based on the tracial version of the Newton chip method which by using semidefinite programming efficiently answers the question if a given nc polynomial is or is not cyclically equivalent to a sum of hermitian squares.

Asymptomatic 发表于 2025-3-22 12:40:02

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沉着 发表于 2025-3-22 13:44:26

Eigenvalue Optimization of Polynomials in Non-commuting Variables,if it yields a positive semidefinite matrix when we replace the letters (variables) in the polynomial by symmetric matrices of the same order. Helton’s Theorem 1.30 implies that positive semidefinite polynomials are exactly the SOHS polynomials, the set of which we denoted by ...

minimal 发表于 2025-3-22 21:01:44

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透明 发表于 2025-3-23 00:06:33

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逗它小傻瓜 发表于 2025-3-23 03:52:35

https://doi.org/10.1007/978-3-319-33338-0Newton chip method; Newton cyclic chip method; Sum of hermitian squares; non-commutative algebraic geom

潜移默化 发表于 2025-3-23 07:53:37

Sabine Burgdorf,Igor Klep,Janez PovhFocuses on polynomial optimization problems in matrix unknowns.Includes fundamental material from algebra, functional analysis and mathematical optimization.Provides instructions on using NCSOStools o
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查看完整版本: Titlebook: Optimization of Polynomials in Non-Commuting Variables; Sabine Burgdorf,Igor Klep,Janez Povh Book 2016 The Author(s) 2016 Newton chip meth