Positive projections of symmetric matrices and Jordan algebras (Q391964)
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scientific article; zbMATH DE number 6244596
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Positive projections of symmetric matrices and Jordan algebras |
scientific article; zbMATH DE number 6244596 |
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Positive projections of symmetric matrices and Jordan algebras (English)
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13 January 2014
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The authors give an elementary proof of the fact that the projection from the space of all symmetric \(p\times p\) matrices onto a linear subspace is positive if and only if the subspace is a Jordan algebra. The proof is based on the concept of an hyperorthogonal \(p\)-tuple of vectors in \(\mathbb{R}^n\).
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hyperorthogonal
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projection
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Jordan algebra
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symmetric matrix
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