Determinantal formulae for matrix completions associated with chordal graphs (Q1823289)
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scientific article; zbMATH DE number 4114802
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Determinantal formulae for matrix completions associated with chordal graphs |
scientific article; zbMATH DE number 4114802 |
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Determinantal formulae for matrix completions associated with chordal graphs (English)
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1989
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For a given partial Hermitian positive definite matrix A and its undirected graph G(A), an explicit determinantal formula for the unique determinant maximizing positive definite completion of A is given and a characterization of the formula via graph theoretical methods is discussed. A simplification of the general methods to compute this completion is given.
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partial Hermitian positive definite matrix
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undirected graph
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determinant maximizing positive definite completion
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