Positive semidefinite completions of partial Hermitian matrices (Q1200554)
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scientific article; zbMATH DE number 95478
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Positive semidefinite completions of partial Hermitian matrices |
scientific article; zbMATH DE number 95478 |
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Positive semidefinite completions of partial Hermitian matrices (English)
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16 January 1993
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A partial Hermitian matrix is a matrix in which some entries are specified such that \(a_{ij}^*=a_{ji}\) among the specified entries, and others are left as free variables. The author explores the possible ranks of positive semidefinite completions of partial Hermitian matrices whose associated graph is chordal. Completing a partially specified matrix means filling in the unspecified entries.
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chordal graph
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partial Hermitian matrix
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ranks
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positive semidefinite completions
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