On Some Algebraic Procedure for Block-Diagonal Decompositions of Open Dynamical Systems

Takeo Kamizawa

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On Some Algebraic Procedure for Block-Diagonal Decompositions of Open Dynamical Systems

机译：开放动力系统块对角分解的一些代数过程

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1750002.1-1750002.11%In this paper we study an application of a tool called the "discriminant of algebra", which gives us an effective method to determine the complete reducibility of algebras. This tool can be applied to the analysis of open quantum systems and we study some examples of it.

机译：1750002.1-1750002.11％在本文中，我们研究了称为“代数的判别式”的工具的应用，该工具为确定代数的完全可约性提供了一种有效的方法。该工具可以应用于开放量子系统的分析，我们将研究一些示例。

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来源
《Open Systems & Information Dynamics》 |2017年第1期|19-29|共11页
作者
Takeo Kamizawa;
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作者单位

Faculty of Physics, Astronomy and Informatics, Nicolaus Copernicus University ul. Grudziadzka 5, 87-100 Toruń, Poland;

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原文格式 PDF
正文语种 eng
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关键词
open quantum systems; discriminant of algebra; block-diagonal decomposition;

机译：开放量子系统;代数的判别块对角分解;

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2. A numerical algorithm for block-diagonal decomposition of matrix *-algebras with application to semidefinite programming [J] . Kazuo Murota, Yoshihiro Kanno, Masakazu Kojima, Japan journal of industrial and applied mathematics . 2010,第1期

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3. A numerical algorithm for block-diagonal decomposition of matrix ${*}$ -algebras with application to semidefinite programming [J] . Kazuo Murota, Yoshihiro Kanno, Masakazu Kojima, Japan Journal of Industrial and Applied Mathematics . 2010,第1期

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4. Modeling and simplification for dynamic systems with testing procedures and metric decomposition [C] . Gu, Y.-L. . 1991

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8. Exact computation of derivatives with differential algebra and applications to beam dynamics. Part 1, A survey of differential algebra and its use for the extraction of maps to arbitrary order; Part 2, Normal form methods for complicated periodic systems: [R] . Berz, M., Forest, E., Irwin, J. 1988

机译：用微分代数精确计算导数并应用于梁动力学。第1部分，差分代数的调查及其用于将地图提取到任意顺序的用途;第2部分，复杂周期系统的正规形式方法：

On Some Algebraic Procedure for Block-Diagonal Decompositions of Open Dynamical Systems

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