Least-squares solution with the minimum-norm for the matrix equation \((A\times B,G\times H) = (C,D)\) (Q814330)
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scientific article; zbMATH DE number 5003738
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Least-squares solution with the minimum-norm for the matrix equation \((A\times B,G\times H) = (C,D)\) |
scientific article; zbMATH DE number 5003738 |
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Least-squares solution with the minimum-norm for the matrix equation \((A\times B,G\times H) = (C,D)\) (English)
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6 February 2006
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The authors derive an analytical expression of the minimum-norm least-squares solution of the matrix equation \((A\times B, G\times H)=(C, D)\). Their approach uses the generalized singular value and canonical correlation decompositions. They verify the obtained expressions by some numerical experiments involving Toeplitz and Hankel matrices.
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matrix equation
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Least-squares solution
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minimum-norm solution
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generalized singular value decomposition
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canonical correlation decomposition
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numerical experiments
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Toeplitz and Hankel matrices
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