Graph-theoretically determined Jordan-block-size structure of regular matrix pencils

DOI10.1016/S0024-3795(96)00589-7zbMath0883.15005MaRDI QIDQ1368775

Kurt J. Reinschke, Klaus Röbenack

Publication date: 22 March 1998

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

zbMATH Keywords

eigenvaluesmatrix pencilsJordan blocksdeterminantal divisorsweighted digraphspanning-cycle

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Directed graphs (digraphs), tournaments (05C20) Canonical forms, reductions, classification (15A21) Matrix pencils (15A22)

Related Items (6)

Analyse von Deskriptorsystemen mit Hilfe von Berechnungsgraphen ⋮ Generic canonical form of pairs of matrices with zeros. ⋮ The combinatorial structure of generalized eigenspaces -- from nonnegative matrices to general matrices ⋮ The generic canonical form of a regular structured matrix pencil ⋮ Digraph based determination of Jordan block size structure of singular matrix pencils ⋮ Parameter depending state space descriptions of index-2-matrix polynomials

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Automatic integration of Euler-Lagrange equations with constraints
• Systems analysis by graphs and matroids. Structural solvability and controllability
• Graph-theoretic approach to symbolic analysis of linear descriptor systems
• Path coverings of graphs and height characteristics of matrices
• The relation between the Jordan structure of a matrix and its graph
• Computing the Structural Index
• Multivariable Control

This page was built for publication: Graph-theoretically determined Jordan-block-size structure of regular matrix pencils