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The reflexive least squares solutions of the matrix equation \(A_1X_1B_1+A_2X_2B_2+\cdots +A_lX_lB_l=C\) with a submatrix constraint - MaRDI portal

The reflexive least squares solutions of the matrix equation \(A_1X_1B_1+A_2X_2B_2+\cdots +A_lX_lB_l=C\) with a submatrix constraint (Q383515)

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scientific article; zbMATH DE number 6235654
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English
The reflexive least squares solutions of the matrix equation \(A_1X_1B_1+A_2X_2B_2+\cdots +A_lX_lB_l=C\) with a submatrix constraint
scientific article; zbMATH DE number 6235654

    Statements

    The reflexive least squares solutions of the matrix equation \(A_1X_1B_1+A_2X_2B_2+\cdots +A_lX_lB_l=C\) with a submatrix constraint (English)
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    4 December 2013
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    The author presents a stable and efficient algorithm to solve the matrix equation mentioned in the title and shows that the algorithm terminates with finite iteration steps.
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    matrix equation
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    central principal submatrix
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    reflexive solutions
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    submatrix constraint
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    least squares solution
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    algorithm
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    iteration
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