Vanishing minor conditions for inverse zero patterns

DOI10.1016/0024-3795(93)90335-LzbMath0767.15003MaRDI QIDQ1208281

Charles R. Johnson, John S. Maybee

Publication date: 16 May 1993

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

zbMATH Keywords

invertible matrixzero-nonzero patterninverse zero patternsvanishing minors

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70)

Related Items (6)

Zero-Term Ranks of Real Matrices and Their Preservers ⋮ Uniformly one-connected matrices and their inverses ⋮ On the almost-principal minors of a symmetric matrix ⋮ The quasi principal rank characteristic sequence ⋮ Zero-term rank preservers^∗ ⋮ Almost principal minors of inverse \(M\)-matrices

Cites Work

• Unnamed Item
• A theorem on inverses of tridiagonal matrices
• Inverses of banded matrices
• Parallel concepts in graph theory
• Inverses of Matrices $\{a_{ij}\}$ which Satisfy $a_{ij} = 0$ for $j > i+p$.
• Matrices, Digraphs, and Determinants
• Matrix Analysis
• Inverse comrade matrices^∗
• Systems of representatives

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