Perron-Frobenius properties of \(Ax-\lambda Bx\)

DOI10.1016/0022-247X(71)90020-5zbMath0224.15010OpenAlexW1996559255MaRDI QIDQ2548286

Olvi L. Mangasarian

Publication date: 1971

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(71)90020-5

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (11)

Testing the irreducibility of nonsquare Perron-Frobenius systems ⋮ The existence and uniqueness of eigenvalues for monotone homogeneous mapping pairs ⋮ The Collatz-Wielandt quotient for pairs of nonnegative operators. ⋮ A characterization of weak-monotone matrices ⋮ Generalisation of the Perron-Frobenius theory to matrix pencils ⋮ On the existence of positive solutions of Au = λBu ⋮ The eigenvalue problem \(\lambda Tx+Sx\) ⋮ Nonlinear generalization of the Frobenius theorem. A symmetric approach ⋮ Relations between Perron-Frobenius results for matrix pencils ⋮ Pencils of complex and real symmetric and skew matrices ⋮ A new characterization of inverse-positive matrices

Cites Work

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• On the matrix equation \(Ax =\lambda Bx\)
• Two Consequences of the Transposition Theorem on Linear Inequalities
• A Note on Motzkin's Transposition Theorem

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