The symmetric inverse \(M\)-matrix completion problem

DOI10.1016/S0024-3795(98)10230-6zbMath0973.15010MaRDI QIDQ1300906

Ronald L. Smith, Charles R. Johnson

Publication date: 3 December 2001

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

zbMATH Keywords

graphscycle conditionssymmetric inverse \(M\)-matrix completion

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Inverse problems in linear algebra (15A29) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (6)

Matrix completion problems for pairs of related classes of matrices. ⋮ Inverse M-matrices completions of then-chordal graph ⋮ The symmetric \(M\)-matrix and symmetric inverse \(M\)-matrix completion problems ⋮ Semidefinite programming for discrete optimization and matrix completion problems ⋮ Graph theoretic methods for matrix completion problems ⋮ Inverse \(M\)-matrices. II

Cites Work

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• Positive definite completions of partial Hermitian matrices
• Inverse M-matrices
• Local inversion of matrices with sparse inverses
• The real positive definite completion problem for a simple cycle
• The completion problem for \(M\)-matrices and inverse \(M\)-matrices
• Matrix Analysis
• Matrices with chordal inverse zero-patterns
• The Euclidean distance completion problem: cycle completability

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