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Necessary and sufficient conditions for the existence of weighted singular-valued decompositions of matrices with singular weights - MaRDI portal

Necessary and sufficient conditions for the existence of weighted singular-valued decompositions of matrices with singular weights (Q324201)

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scientific article; zbMATH DE number 6636977
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Necessary and sufficient conditions for the existence of weighted singular-valued decompositions of matrices with singular weights
scientific article; zbMATH DE number 6636977

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    Necessary and sufficient conditions for the existence of weighted singular-valued decompositions of matrices with singular weights (English)
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    10 October 2016
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    The authors construct a weighted singular valued decomposition of matrices with singular weights by using orthogonal matrices, together with a representation of weighted pseudoinverse matrices with positive semidefinite matrices weights. They also provide necessary and sufficient conditions for the existence of the constructed weighted singular valued decomposition of matrices.
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    singular value decomposition
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    singular weights
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    pseudoinverse
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    regularized iteration
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    positive semidefinite matrices
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