On the cone of positive semidefinite matrices (Q1820843)
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scientific article; zbMATH DE number 3995887
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the cone of positive semidefinite matrices |
scientific article; zbMATH DE number 3995887 |
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On the cone of positive semidefinite matrices (English)
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1987
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An as yet unsolved problem in matrix theory is to classify those linear transformations of the \(n\times n\) complex matrices which leave the cone, PSD, of positive semidefinite Hermitian matrices invariant. The present note surveys the known results on the structure of the cone PSD, and some of the results concerning linear transformations which map PSD into itself. Certain useful isometric isomorphisms are given in detail.
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completely positive maps
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invariant cone
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cone of positive semidefinite Hermitian matrices
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linear transformations
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cone PSD
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isometric isomorphisms
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