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A new method for solving matrix equation \(AXB+CX^T D=E\) - MaRDI portal

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A new method for solving matrix equation \(AXB+CX^T D=E\) (Q1649210)

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scientific article; zbMATH DE number 6898819
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English
A new method for solving matrix equation \(AXB+CX^T D=E\)
scientific article; zbMATH DE number 6898819

    Statements

    A new method for solving matrix equation \(AXB+CX^T D=E\) (English)
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    5 July 2018
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    Summary: In this paper, we propose a new iterative algorithm to solve the matrix equation \(AXB+CX^T D=E\). The algorithm can obtain the minimal Frobenius norm solution or the least-squares solution with minimal Frobenius norm. Our algorithm is better than Algorithm II of the paper [the author et al., Appl. Math. Comput. 187, No. 2, 622--629 (2007; Zbl 1121.65048)].
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    iterative algorithm
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    Kronecker product
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    LSQR
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    matrix equation
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    least squares
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