A Simple Approach to the Perron-Frobenius Theory for Positive Operators on General Partially-Ordered Finite-Dimensional Linear Spaces
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Publication:5669446
DOI10.2307/2005256zbMath0255.15017OpenAlexW4245128211MaRDI QIDQ5669446
James S. Vandergraft, Werner C. Rheinboldt
Publication date: 1973
Full work available at URL: https://doi.org/10.2307/2005256
General theory of numerical analysis in abstract spaces (65J05) Inequalities involving eigenvalues and eigenvectors (15A42) Positive matrices and their generalizations; cones of matrices (15B48) Iterative numerical methods for linear systems (65F10)
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Cites Work
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- Topological proofs for certain theorems on matrices with non-negative elements
- Positive eigenvectors of order-preserving maps
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- Spectral Properties of Matrices which have Invariant Cones
- Linear Transformations with Invariant Cones
- Applications of Partial Orderings to the Study of Positive Definiteness, Monotonicity, and Convergence of Iterative Methods for Linear Systems
- On the Solution of Linear Simultaneous Equations By Iteration
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