The equivalent form of a matrix inequality and its application (Q816017)
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scientific article; zbMATH DE number 5007522
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The equivalent form of a matrix inequality and its application |
scientific article; zbMATH DE number 5007522 |
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The equivalent form of a matrix inequality and its application (English)
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20 February 2006
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The authors prove a matrix inequality involving the Moore-Penrose inverse, where the order among Hermitian matrices is defined in the Löwner sense. Theorem 2 is the main result. The authors apply their results to generalize some matrix inequalities involving Khatri-Rao products of positive semi-definite matrices.
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Matrix inequality
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Hermitian matrix
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positive semidefinite matrix
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Khatri-Rao product
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Löwner ordering
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Moore-Penrose inverse
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