On the Smith Normal Form of Structured Polynomial Matrices

DOI10.1137/0612058zbMath0742.15005OpenAlexW2066944191MaRDI QIDQ3980617

Kazuo Murota

Publication date: 26 June 1992

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0612058

zbMATH Keywords

Smith normal formstructural controllabilitydeterminantal divisorscombinatorial canonical formmixed matrixmatroid-theoretic algorithms

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Algebraic methods (93B25) Combinatorial aspects of matroids and geometric lattices (05B35) Canonical forms, reductions, classification (15A21)

Related Items (5)

On the Kronecker Canonical Form of Singular Mixed Matrix Pencils ⋮ König's theorem and bimatroids ⋮ Generic pole assignability, structurally constrained controllers and unimodular completion ⋮ Hierarchical decomposition of symmetric discrete systems by matroid and group theories ⋮ The generic canonical form of a regular structured matrix pencil

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