Positivity of matrices with generalized matrix functions (Q1943202)
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scientific article; zbMATH DE number 6145413
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Positivity of matrices with generalized matrix functions |
scientific article; zbMATH DE number 6145413 |
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Positivity of matrices with generalized matrix functions (English)
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15 March 2013
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Using an elementary fact on matrices, the author shows by a unified approach the positivity of a partitioned positive semidefinite matrix with each square block replaced by a compound matrix, an elementary symmetric function or a generalized matrix function. In addition, a refined version of the Thompson determinant compression theorem is presented.
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generalized matrix function
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permanent
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trace
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positive semidefinite matrix
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Thompson determinant
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