Completions of \(M\)-matrix patterns

DOI10.1016/S0024-3795(98)10120-9zbMath0935.15017OpenAlexW4205676124WikidataQ126401445 ScholiaQ126401445MaRDI QIDQ1124800

Leslie Hogben

Publication date: 28 November 1999

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

Full work available at URL: https://doi.org/10.1016/s0024-3795(98)10120-9

zbMATH Keywords

digraphmatrix completionpartial matrix\(M\)-matrix patterns

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) Directed graphs (digraphs), tournaments (05C20)

Related Items (7)

Matrix completion problems for pairs of related classes of matrices. ⋮ Completions of P-matrix patterns ⋮ 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 ⋮ Completions of inverse \(M\)-matrix patterns ⋮ Inverse \(M\)-matrix completions of patterns omitting some diagonal positions

Cites Work

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• Positive definite completions of partial Hermitian matrices
• The completion problem for \(M\)-matrices and inverse \(M\)-matrices
• The combinatorially symmetric P-matrix completion problem

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