Local inversion of matrices with sparse inverses

DOI10.1016/S0024-3795(97)10071-4zbMath0946.15005MaRDI QIDQ1307520

Charles R. Johnson, Michael Lundquist

Publication date: 12 October 2000

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

zbMATH Keywords

cliquechordal graphmatrix inverse

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items

A Local Inverse Formula and a Factorization ⋮ Deterministic inverse zero-patterns ⋮ The symmetric inverse \(M\)-matrix completion problem

Cites Work

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• Determinantal formulae for matrices with sparse inverses
• An inertia formula for Hermitian matrices with sparse inverses
• Determinantal formulae for matrix completions associated with chordal graphs
• The completion problem for \(M\)-matrices and inverse \(M\)-matrices
• Matrices with chordal inverse zero-patterns

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