Positive semidefinite completions of partial Hermitian matrices

DOI10.1016/0024-3795(92)90304-SzbMath0760.15019MaRDI QIDQ1200554

Jerome Dancis

Publication date: 16 January 1993

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

rankschordal graphpartial Hermitian matrixpositive semidefinite completions

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Hermitian, skew-Hermitian, and related matrices (15B57) Vector spaces, linear dependence, rank, lineability (15A03)

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Cites Work

• Positive definite completions of partial Hermitian matrices
• Bordered matrices
• On the inertias of symmetric matrices and bounded self-adjoint operators
• Extensions of band matrices with band inverses
• Invertible completions of band matrices
• Inertia possibilities for completions of partial hermitian matrices^*
• Rank-preserving extensions of band matrices
• Invertible Selfadjoint Extensions of Band Matrices and Their Entropy

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