Relations between Perron-Frobenius results for matrix pencils

DOI10.1016/S0024-3795(98)10085-XzbMath0940.15008MaRDI QIDQ1301306

Volker Mehrmann, T. X. T. Phan, D. Dale Olesky, Pauline van den Driessche

Publication date: 15 December 1999

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

zbMATH Keywords

digraphspectral radiusnonnegative matrixgeneralized eigenvaluesPerron-Frobenius theorymatrix pencilsFrobenius normal formarc unique digraph

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48) Matrix pencils (15A22)

Related Items (2)

The existence and uniqueness of eigenvalues for monotone homogeneous mapping pairs ⋮ Generalisation of the Perron-Frobenius theory to matrix pencils

Cites Work

• Unnamed Item
• Unnamed Item
• On convexity properties of the spectral radius of nonnegative matrices
• Some possible new directions for combinatorial matrix analysis
• The Frobenius theorem, its Solow-Samuelson extension and the Kuhn-Tucker theorem
• Nonlinear generalization of the Frobenius theorem. A symmetric approach
• A combinatorial converse to the Perron-Frobenius theorem
• Perron-Frobenius properties of \(Ax-\lambda Bx\)
• Matrices, Digraphs, and Determinants
• A Class of M-Matrices with Tree Graphs
• Matrix Analysis
• On the effect of the perturbation of a nonnegative matrix on its Perron eigenvector
• Inverses of Unipathic M-Matrices
• Perron-frobenius theory for a generalized eigenproblem
• The Kantorovich and Some Related Inequalities

This page was built for publication: Relations between Perron-Frobenius results for matrix pencils