The positive definite completion problem revisited

DOI10.1016/j.laa.2008.04.020zbMath1179.15017OpenAlexW2052590692WikidataQ115802508 ScholiaQ115802508MaRDI QIDQ947605

Ronald L. Smith

Publication date: 6 October 2008

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

Full work available at URL: https://doi.org/10.1016/j.laa.2008.04.020

zbMATH Keywords

positive semidefinitepositive definitematrix completions

Mathematics Subject Classification ID

Inverse problems in linear algebra (15A29)

Related Items

Measures of generalized magnitude-squared coherence: differences and similarities ⋮ The elliptic matrix completion problem ⋮ A panorama of positivity. II: Fixed dimension ⋮ The inverse of any two-by-two nonsingular partitioned matrix and three matrix inverse completion problems ⋮ On the phases of a complex matrix ⋮ 2n-by-2n symplectic completions of matrices of order 2n − 1

Cites Work

• Positive definite completions of partial Hermitian matrices
• Positive semidefinite matrices with a given sparsity pattern
• Extensions of band matrices with band inverses
• Determinantal formulae for matrix completions associated with chordal graphs
• Determination of the inertia of a partitioned Hermitian matrix
• Inertia possibilities for completions of partial hermitian matrices^*
• The Ranks of Extremal Positive Semidefinite Matrices with Given Sparsity Pattern
• Matrix Analysis
• On negative eigenvalues of selfadjoint eztensions of band matrices
• Matrices with chordal inverse zero-patterns
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