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International Journal of Computer Mathematics Volume 87, 2010 - Issue 3
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Section B

Gradient-based maximal convergence rate iterative method for solving linear matrix equations

Bin Zhou Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin, P.R. ChinaCorrespondence[email protected] [email protected]
,
James Lam Department of Mechanical Engineering, University of Hong Kong, Hong Kong
&
Guang-Ren Duan Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin, P.R. China
Pages 515-527 | Received 06 Jan 2008, Accepted 03 Mar 2008, Published online: 27 Sep 2008

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Masoud Hajarian. (2018) Convergence properties of BCR method for generalized Sylvester matrix equation over generalized reflexive and anti-reflexive matrices. Linear and Multilinear Algebra 66:10, pages 1975-1990.
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Yanjun Liu & Rui Ding. (2013) Consistency of the extended gradient identification algorithm for multi-input multi-output systems with moving average noises. International Journal of Computer Mathematics 90:9, pages 1840-1852.
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Feng Ding & Ya Gu. (2012) Performance analysis of the auxiliary model-based least-squares identification algorithm for one-step state-delay systems. International Journal of Computer Mathematics 89:15, pages 2019-2028.
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Zhao-Yan Li & Yong Wang. (2010) Iterative algorithm for minimal norm least squares solution to general linear matrix equations. International Journal of Computer Mathematics 87:11, pages 2552-2567.
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Guang-Ren Duan. 2015. Generalized Sylvester Equations. Generalized Sylvester Equations 341 374 .
Huamin Zhang. (2014) WITHDRAWN: Rank deficiency gradient-based iterations for generalized coupled Sylvester matrix equations. Journal of the Franklin Institute.
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Fatemeh Panjeh Ali Beik. (2014) A modified iterative algorithm for the (Hermitian) reflexive solution of the generalized Sylvester matrix equation. Transactions of the Institute of Measurement and Control 36:6, pages 815-827.
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Yong Lin & Qing-Wen Wang. (2014) Generalized Reflexive and Generalized Antireflexive Solutions to a System of Matrix Equations. Journal of Applied Mathematics 2014, pages 1-9.
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Yuhuan Chen, Chenfu Yi & Dengyu Qiao. (2013) Improved neural solution for the Lyapunov matrix equation based on gradient search. Information Processing Letters 113:22-24, pages 876-881.
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Yong Lin & Qing-Wen Wang. (2013) Iterative Solution to a System of Matrix Equations. Abstract and Applied Analysis 2013, pages 1-7.
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Guangbin Cai, Changhua Hu & Guangren Duan. (2011) Eigenstructure assignment for linear parameter-varying systems with applications. Mathematical and Computer Modelling 53:5-6, pages 861-870.
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Mehdi Dehghan & Masoud Hajarian. (2010) Matrix equations over -symmetric and -skew symmetric matrices . Computers & Mathematics with Applications 59:11, pages 3583-3594.
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