A multi-step Smith-inner-outer iteration algorithm for solving coupled continuous Markovian jump Lyapunov matrix equations

Journal of the Franklin Institute ◽

10.1016/j.jfranklin.2020.02.026 ◽

2020 ◽

Vol 357 (6) ◽

pp. 3656-3679

Author(s):

Zhaolu Tian ◽

Junxin Wang ◽

Yinghui Dong ◽

Zhongyun Liu

Keyword(s):

Iteration Algorithm ◽

Matrix Equations ◽

Markovian Jump ◽

Lyapunov Matrix ◽

Outer Iteration ◽

Lyapunov Matrix Equations

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New explicit iteration algorithms for solving coupled continuous Markovian jump Lyapunov matrix equations

Journal of the Franklin Institute ◽

10.1016/j.jfranklin.2018.09.027 ◽

2018 ◽

Vol 355 (17) ◽

pp. 8346-8372 ◽

Author(s):

Zhaolu Tian ◽

C.M. Fan ◽

Youjun Deng ◽

P.H. Wen

Keyword(s):

Matrix Equations ◽

Markovian Jump ◽

Lyapunov Matrix ◽

Lyapunov Matrix Equations

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Improved SOR iterative method for coupled Lyapunov matrix equations

Afrika Matematika ◽

10.1007/s13370-021-00911-8 ◽

2021 ◽

Author(s):

Liqing Bai ◽

Shijun Zhang ◽

Shiheng Wang ◽

Ke Wang

Keyword(s):

Iterative Method ◽

Matrix Equations ◽

Lyapunov Matrix ◽

Lyapunov Matrix Equations

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Computationally enhanced projection methods for symmetric Sylvester and Lyapunov matrix equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2017.08.011 ◽

2018 ◽

Vol 330 ◽

pp. 648-659 ◽

Author(s):

Davide Palitta ◽

Valeria Simoncini

Keyword(s):

Projection Methods ◽

Matrix Equations ◽

Lyapunov Matrix ◽

Lyapunov Matrix Equations

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Analytic perturbation of Sylvester and Lyapunov matrix equations

Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187) ◽

10.1109/cdc.2000.912152 ◽

2002 ◽

Author(s):

K.E. Avrachenkov ◽

J.B. Lasserre

Keyword(s):

Matrix Equations ◽

Analytic Perturbation ◽

Lyapunov Matrix ◽

Lyapunov Matrix Equations

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A new approximation algorithm for solving generalized Lyapunov matrix equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113898 ◽

2021 ◽

pp. 113898

Author(s):

Mehdi Dehghan ◽

Akbar Shirilord

Keyword(s):

Approximation Algorithm ◽

Matrix Equations ◽

Lyapunov Matrix ◽

Lyapunov Matrix Equations

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Projection methods for large Lyapunov matrix equations

Linear Algebra and its Applications ◽

10.1016/j.laa.2004.11.004 ◽

2006 ◽

Vol 415 (2-3) ◽

pp. 344-358 ◽

Author(s):

K. Jbilou ◽

A.J. Riquet

Keyword(s):

Projection Methods ◽

Matrix Equations ◽

Lyapunov Matrix ◽

Lyapunov Matrix Equations

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Current-estimation-based iterative algorithms for solving periodic Lyapunov matrix equations

IET Control Theory and Applications ◽

10.1049/iet-cta.2015.1313 ◽

2016 ◽

Vol 10 (15) ◽

pp. 1928-1936 ◽

Author(s):

Ai-Guo Wu ◽

Ming-Fang Chang

Keyword(s):

Iterative Algorithms ◽

Matrix Equations ◽

Current Estimation ◽

Lyapunov Matrix ◽

Lyapunov Matrix Equations

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ADI preconditioned Krylov methods for large Lyapunov matrix equations

Linear Algebra and its Applications ◽

10.1016/j.laa.2009.12.025 ◽

2010 ◽

Vol 432 (10) ◽

pp. 2473-2485 ◽

Author(s):

K. Jbilou

Keyword(s):

Matrix Equations ◽

Krylov Methods ◽

Lyapunov Matrix ◽

Lyapunov Matrix Equations

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Several methods for solving the extended Lyapunov matrix equations

Journal of Physics Conference Series ◽

10.1088/1742-6596/96/1/012204 ◽

2008 ◽

Vol 96 ◽

pp. 012204

Author(s):

M-b Zhang ◽

Y-m Fang

Keyword(s):

Matrix Equations ◽

Lyapunov Matrix ◽

Lyapunov Matrix Equations

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Solving periodic Lyapunov matrix equations via finite steps iteration

IET Control Theory and Applications ◽

10.1049/iet-cta.2011.0560 ◽

2012 ◽

Vol 6 (13) ◽

pp. 2111-2119 ◽

Author(s):

G.-B. Cai ◽

C.-H. Hu

Keyword(s):

Matrix Equations ◽

Lyapunov Matrix ◽

Lyapunov Matrix Equations

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