Algebraic method for solving a class of quaternion algebraic Riccati equation

机译：求解一类四元数代数Riccati方程的代数方法

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In this paper, by means of complex representation and Jordan canonical form, we change the problem for solving a quaternion algebraic Riccati equation to that of complex matrix equation, and provide an algebraic method for solving a class of quaternion algebraic Riccati equation.

机译：本文通过复数表示和约旦典范形式，将四元数代数Riccati方程的求解问题转换为复数矩阵方程，为一类四元数代数Riccati方程的求解提供了一种代数方法。

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来源
《Fuzzy Systems and Knowledge Discovery (FSKD), 2012 9th International Conference on》|2012年|p.2339- 2342|共4页
会议地点 Chongqing(CN)
作者
Ling Sitao;
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作者单位

Department of Mathematics, China University of Mining and Technology, Xuzhou 221116, China;

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原文格式 PDF
正文语种 eng
中图分类人工智能理论;
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1. A Class Of Iterative Methods For Solving Nonsymmetric Algebraic Riccati Equations Arising In Transport Theory [J] . Yiqin Lin Computers & mathematics with applications . 2008,第12期

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2. Continuation methods for solving modified discrete-time algebraic Riccati equations [J] . Wen-Wei Lin, Chern-Shuh Wang IEEE Transactions on Automatic Control . 1995,第5期

机译：求解离散离散代数Riccati方程的连续方法
3. Local convergence analysis of conjugate gradient methods for solving algebraic Riccati equations [J] . Ghavimi A.R., Kenney C. IEEE Transactions on Automatic Control . 1992,第7期

机译：解代数Riccati方程的共轭梯度法的局部收敛性分析
4. Algebraic method for solving a class of quaternion algebraic Riccati equation [C] . Ling Sitao International Conference on Fuzzy Systems and Knowledge Discovery . 2012

机译：求解一类四元数代数Riccati等式的代数方法
5. Three numerical methods for solving generalized algebraic Riccati equations. [D] . Qian, Qingshan. 1997

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6. RADI: a low-rank ADI-type algorithm for large scale algebraic Riccati equations [O] . Peter Benner, Zvonimir Bujanović, Patrick Kürschner, -1

机译：RADI：低阶ADI型算法用于大规模代数Riccati方程
7. A class of iterative methods for solving nonsymmetric algebraic Riccati equations arising in transport theory [O] . Lin Yiqin 2008

机译：输运理论中求解非对称代数Riccati方程的一类迭代方法

Algebraic method for solving a class of quaternion algebraic Riccati equation

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