Linear equations over cones and Collatz-Wielandt numbers
From MaRDI portal
Publication:1870059
DOI10.1016/S0024-3795(01)00565-1zbMath1019.15010arXivmath/0109074OpenAlexW1976283056MaRDI QIDQ1870059
Publication date: 4 May 2003
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0109074
nonnegative matrixcone-preserving maplocal spectral radiusPerron-Frobenius theoryalternating sequenceCollatz-Wielandt numberCollatz-Wielandt setlocal Perron-Schaefer condition
Positive matrices and their generalizations; cones of matrices (15B48) Linear equations (linear algebraic aspects) (15A06)
Related Items (6)
An affine eigenvalue problem on the nonnegative orthant ⋮ The Perron generalized eigenspace and the spectral cone of a cone-preserving map ⋮ Monotone dependence of the spectral bound on the transition rates in linear compartment models ⋮ Maximal exponents of polyhedral cones (III) ⋮ On the invariant faces associated with a cone-preserving map ⋮ Z-matrix equations in max-algebra, nonnegative linear algebra and other semirings
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the ideal structure of positive, eventually compact linear operators on Banach lattices
- On the Collatz-Wielandt numbers and the local spectral radius of a nonnegative operator
- On the distinguished eigenvalues of a cone-preserving map
- The influence of the marked reduced graph of a nonnegative matrix on the Jordan form and on related properties: a survey
- On the generalized nullspace of M-matrices and Z-matrices
- Solutions of Z-matrix equations
- Characterizations and classifications of M-matrices using generalized nullspaces
- Theory of cones
- Geometric conditions for the existence of positive eigenvalues of matrices
- On linear integral operators with nonnegative kernels
- The structure of the algebraic eigenspace to the spectral radius of eventually compact, nonnegative integral operators
- Characterizations of spectral radius of positive operators of \(C^*\) algebras
- On nonnegative solvability of linear integral equations
- Collatz-Wielandt numbers in general partially ordered spaces
- Algebraic eigenspaces of nonnegative matrices
- On nonnegative solvability of linear operator equations
- On the Collatz-Wielandt sets associated with a cone-preserving map
- Some matrix inequalities
- Subcriticality for transport of multiplying particles in a slab
- On Nonnegative Solutions of Matrix Equations
- The Growth of Powers of a Nonnegative Matrix
- The Structure of a Positive Linear Integral Operator
- On the Core of a Cone-Preserving Map
- On the invariant faces associated with a cone-preserving map
- A Note on M-Matrix Equations
- Positive Solutions of Positive Linear Equations
- A cone-theoretic approach to the spectral theory of positive linear operators: The finite-dimensional case
This page was built for publication: Linear equations over cones and Collatz-Wielandt numbers
