An iterative method for the least squares solutions of the linear matrix equations with some constraint

International Journal of Computer Mathematics ◽

10.1080/00207161003643005 ◽

2011 ◽

Vol 88 (3) ◽

pp. 634-649 ◽

Author(s):

Jing Cai ◽

Guoliang Chen

Keyword(s):

Iterative Method ◽

Least Squares ◽

Linear Matrix ◽

Matrix Equations ◽

Linear Matrix Equations

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Iterative algorithms for the minimum-norm solution and the least-squares solution of the linear matrix equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2011.08.052 ◽

2011 ◽

Vol 218 (7) ◽

pp. 3166-3175 ◽

Author(s):

Kaifu Liang ◽

Jianzhou Liu

Keyword(s):

Least Squares ◽

Iterative Algorithms ◽

Linear Matrix ◽

Minimum Norm ◽

Matrix Equations ◽

Minimum Norm Solution ◽

Least Squares Solution ◽

Linear Matrix Equations

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Iterative method to solve the generalized coupled Sylvester-transpose linear matrix equations over reflexive or anti-reflexive matrix

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2014.04.012 ◽

2014 ◽

Vol 67 (11) ◽

pp. 2071-2084 ◽

Author(s):

Yajun Xie ◽

Na Huang ◽

Changfeng Ma

Keyword(s):

Iterative Method ◽

Linear Matrix ◽

Matrix Equations ◽

Reflexive Matrix ◽

Linear Matrix Equations

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A finite iterative method for solving a pair of linear matrix equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2006.12.026 ◽

2007 ◽

Vol 189 (2) ◽

pp. 1350-1358 ◽

Author(s):

Xingping Sheng ◽

Guoliang Chen

Keyword(s):

Iterative Method ◽

Linear Matrix ◽

Matrix Equations ◽

Linear Matrix Equations ◽

Finite Iterative Method

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An iterative algorithm for the least Frobenius norm least squares solution of a class of generalized coupled Sylvester-transpose linear matrix equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2018.01.020 ◽

2018 ◽

Vol 328 ◽

pp. 58-74 ◽

Author(s):

Baohua Huang ◽

Changfeng Ma

Keyword(s):

Least Squares ◽

Iterative Algorithm ◽

Linear Matrix ◽

Frobenius Norm ◽

Matrix Equations ◽

Least Squares Solution ◽

Linear Matrix Equations

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Minimum norm least-squares solution to general complex coupled linear matrix equations via iteration

Filomat ◽

10.2298/fil1506389s ◽

2015 ◽

Vol 29 (6) ◽

pp. 1389-1407 ◽

Author(s):

Davod Salkuyeh ◽

Beik Ali

Keyword(s):

Least Squares ◽

Linear Matrix ◽

Minimum Norm ◽

Matrix Equations ◽

Least Squares Solution ◽

General Complex ◽

Linear Matrix Equations

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Rank/inertia approaches to weighted least-squares solutions of linear matrix equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2017.07.079 ◽

2017 ◽

Vol 315 ◽

pp. 400-413 ◽

Author(s):

Bo Jiang ◽

Yongge Tian

Keyword(s):

Least Squares ◽

Weighted Least Squares ◽

Linear Matrix ◽

Matrix Equations ◽

Linear Matrix Equations

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

International Journal of Computer Mathematics ◽

10.1080/00207160802123458 ◽

2010 ◽

Vol 87 (3) ◽

pp. 515-527 ◽

Author(s):

Bin Zhou ◽

James Lam ◽

Guang-Ren Duan

Keyword(s):

Convergence Rate ◽

Iterative Method ◽

Linear Matrix ◽

Matrix Equations ◽

Gradient Based ◽

Linear Matrix Equations

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Weighted and unweighted least-squares solutions of linear matrix equations

Applied Mathematics and Computation ◽

10.1016/0096-3003(89)90006-4 ◽

1989 ◽

Vol 34 (1) ◽

pp. 61-71 ◽

Author(s):

Mohamed Ahmed Shalaby

Keyword(s):

Least Squares ◽

Linear Matrix ◽

Matrix Equations ◽

Linear Matrix Equations

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Quadratic properties of least-squares solutions of linear matrix equations with statistical applications

Computational Statistics ◽

10.1007/s00180-016-0693-z ◽

2016 ◽

Vol 32 (4) ◽

pp. 1645-1663 ◽

Author(s):

Yongge Tian ◽

Bo Jiang

Keyword(s):

Least Squares ◽

Linear Matrix ◽

Matrix Equations ◽

Linear Matrix Equations

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Iterative algorithm for minimal norm least squares solution to general linear matrix equations

International Journal of Computer Mathematics ◽

10.1080/00207160802684459 ◽

2010 ◽

Vol 87 (11) ◽

pp. 2552-2567 ◽

Author(s):

Zhao-Yan Li ◽

Yong Wang

Keyword(s):

Least Squares ◽

Iterative Algorithm ◽

General Linear ◽

Linear Matrix ◽

Matrix Equations ◽

Minimal Norm ◽

Least Squares Solution ◽

Linear Matrix Equations

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