On the irreducibility of layered mixed matrices

DOI10.1080/03081088908817921zbMath0702.15008OpenAlexW1976896339MaRDI QIDQ3480219

Kazuo Murota

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1080/03081088908817921

zbMATH Keywords

determinantirreducibilitylayered mixed matrices

Mathematics Subject Classification ID

Factorization of matrices (15A23)

Related Items (6)

The symbiotic relationship of combinatorics and matrix theory ⋮ Hierarchical decomposition of symmetric discrete systems by matroid and group theories ⋮ Controllability and observability criteria of RLC networks overF(z) ⋮ Principal structure of layered mixed matrices ⋮ Some recent results in combinatorial approaches to dynamical systems ⋮ Graph-theoretic approach to symbolic analysis of linear descriptor systems

Cites Work

• Graphs and matching theorems
• Systems analysis by graphs and matroids. Structural solvability and controllability
• Menger-decomposition of a graph and its application to the structural analysis of a large-scale system of equations
• Combinatorial Canonical Form of Layered Mixed Matrices and Its Application to Block-Triangularization of Systems of Linear/Nonlinear Equations
• The formal incidence matrix†
• Indeterminates and incidence matrices^†

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