Perron-frobenius theory for a generalized eigenproblem

DOI10.1080/03081089508818429zbMath0856.15011OpenAlexW2055030087MaRDI QIDQ4871392

Peter Vandendriesche, D. Dale Olesky, Ravindra B. Bapat

Publication date: 25 February 1997

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

Full work available at URL: http://hdl.handle.net/1828/1779

zbMATH Keywords

nonnegative matrixgeneralized eigenvalue problemPerron-Frobenius theory

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (8)

A generalized eigenvalue problem in the max algebra ⋮ Noda iteration for computing generalized tensor eigenpairs ⋮ The existence and uniqueness of eigenvalues for monotone homogeneous mapping pairs ⋮ Noda iterations for generalized eigenproblems following Perron-Frobenius theory ⋮ Generalisation of the Perron-Frobenius theory to matrix pencils ⋮ A primer of Perron--Frobenius theory for matrix polynomials ⋮ Inexact generalized Noda iterations for generalized eigenproblems ⋮ Relations between Perron-Frobenius results for matrix pencils

Cites Work

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• Inverse M-matrices
• The Frobenius theorem, its Solow-Samuelson extension and the Kuhn-Tucker theorem
• Complex eigenvalues of a non-negative matrix with a specified graph
• Perturbation theory for rectangular matrix pencils
• On the Eigenvector belonging to the Maximal Root of a Non-negative Matrix
• THE NOTION OF VERTICAL INTEGRATION IN ECONOMIC ANALYSIS (*)

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