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International Journal of Systems Science Volume 46, 2015 - Issue 3
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Original Articles

Finite algorithms for solving the coupled Sylvester-conjugate matrix equations over reflexive and Hermitian reflexive matrices

Masoud HajarianDepartment of Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, IranCorrespondence[email protected]
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Pages 488-502 | Received 15 Jan 2011, Accepted 06 Nov 2011, Published online: 01 May 2013

Citations (18)

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Ai-Guo Wu, Ying Zhang & Tong-Yang Jiang. (2019) Iterative algorithms for discrete periodic Riccati matrix equations. International Journal of Systems Science 50:11, pages 2102-2112.
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Chang-Qing Lv & Chang-Feng Ma. (2019) The iterative algorithm for solving a class of generalized coupled Sylvester-transpose equations over centrosymmetric or anti-centrosymmetric matrix. International Journal of Computer Mathematics 96:8, pages 1576-1594.
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Articles from other publishers (16)

Adrian Ilka & Nikolce Murgovski. (2023) Novel Results on Output-Feedback LQR Design. IEEE Transactions on Automatic Control 68:9, pages 5187-5200.
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Yang Shi, Long Jin, Shuai Li, Jian Li, Jipeng Qiang & Dimitrios K. Gerontitis. (2022) Novel Discrete-Time Recurrent Neural Networks Handling Discrete-Form Time-Variant Multi-Augmented Sylvester Matrix Problems and Manipulator Application. IEEE Transactions on Neural Networks and Learning Systems 33:2, pages 587-599.
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Yang Shi, Guoqian Liu, Jie Wang, Jiazheng Zhang, Jian Li & Dimitrios K. Gerontitis. (2021) Advanced Discrete Generalized-Neurodynamic Model Applied to Solve Discrete Time-Variant Augmented Sylvester Equation with Perturbation Suppression. Advanced Discrete Generalized-Neurodynamic Model Applied to Solve Discrete Time-Variant Augmented Sylvester Equation with Perturbation Suppression.
Yang Shi, Chao Mou, Yimeng Qi, Bin Li, Shuai Li & Baoqing Yang. (2021) Design, analysis and verification of recurrent neural dynamics for handling time-variant augmented Sylvester linear system. Neurocomputing 426, pages 274-284.
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Apostolos Kanellakis, Ayman Tawfik & Panajotis Agathoklis. (2021) Inverse and Direct Solutions of the Discrete Time Lyapunov Equation With System Matrix in Companion Form. IEEE Access 9, pages 168397-168403.
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Tongxin Yan & Changfeng Ma. (2020) The BCR algorithms for solving the reflexive or anti-reflexive solutions of generalized coupled Sylvester matrix equations. Journal of the Franklin Institute 357:17, pages 12787-12807.
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Yang Shi, Long Jin, Shuai Li & Jipeng Qiang. (2020) Proposing, developing and verification of a novel discrete-time zeroing neural network for solving future augmented Sylvester matrix equation. Journal of the Franklin Institute.
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Liangjie Ming, Nini Shi, Yang Shi & Yunong Zhang. 2020. Advances in Natural Computation, Fuzzy Systems and Knowledge Discovery. Advances in Natural Computation, Fuzzy Systems and Knowledge Discovery 260 270 .
Sheng-Kun Li & Ting-Zhu Huang. (2019) A shifted complex global Lanczos method and the quasi-minimal residual variant for the Stein-conjugate matrix equation . Journal of Computational and Applied Mathematics 357, pages 1-11.
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Adrian Ilka, Nikolce Murgovski & Jonas Sjoberg. (2019) An iterative Newton's method for output-feedback LQR design for large-scale systems with guaranteed convergence. An iterative Newton's method for output-feedback LQR design for large-scale systems with guaranteed convergence.
Masoud Hajarian & Hassan Abbas. (2018) Least squares solutions of quadratic inverse eigenvalue problem with partially bisymmetric matrices under prescribed submatrix constraints. Computers & Mathematics with Applications 76:6, pages 1458-1475.
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Masoud Hajarian. (2018) Matrix form of Biconjugate Residual Algorithm to Solve the Discrete-Time Periodic Sylvester Matrix Equations. Asian Journal of Control 20:1, pages 49-56.
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Masoud Hajarian. (2017) Solving the coupled Sylvester-like matrix equations via a new finite iterative algorithm. Engineering Computations 34:5, pages 1446-1467.
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Masoud Hajarian. (2017) Convergence of HS version of BCR algorithm to solve the generalized Sylvester matrix equation over generalized reflexive matrices. Journal of the Franklin Institute 354:5, pages 2340-2357.
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Masoud Hajarian. (2015) Least Squares Solution of the Linear Operator Equation. Journal of Optimization Theory and Applications 170:1, pages 205-219.
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Masoud Hajarian. (2015) Developing BiCOR and CORS methods for coupled Sylvester-transpose and periodic Sylvester matrix equations. Applied Mathematical Modelling 39:19, pages 6073-6084.
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