Computing the spectral gap of a family of matrices
DOI10.1090/mcom/3856zbMath1525.65029OpenAlexW4379653142MaRDI QIDQ6076244
Vladimir Yu. Protasov, Nicola Guglielmi
Publication date: 23 October 2023
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/mcom/3856
trajectoriesalgorithmbranch-and-boundspectral gapjoint spectral radiusLyapunov exponentfiniteness propertyasymptotic growthdominant productdiscrete linear switching system
Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)
Cites Work
- Unnamed Item
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- Matrix semigroups with constant spectral radius
- On matrix semigroups bounded above and below
- An explicit counterexample to the Lagarias-Wang finiteness conjecture
- A tree-based approach to joint spectral radius determination
- Structure of extremal trajectories of discrete linear systems and the finiteness conjecture
- Symmetric iterative interpolation processes
- Bounded semigroups of matrices
- The Burnside problem for semigroups
- On finite semigroups of matrices
- The finiteness conjecture for the generalized spectral radius of a set of matrices
- The generalized spectral radius and extremal norms
- Switching in systems and control
- Stability of discrete linear inclusion
- Computing the joint spectral radius
- Exact computation of joint spectral characteristics of linear operators
- On the gap between deterministic and probabilistic joint spectral radii for discrete-time linear systems
- Periodically switched stability induces exponential stability of discrete-time linear switched systems in the sense of Markovian probabilities
- An algorithm for finding extremal polytope norms of matrix families
- Efficient algorithms for deciding the type of growth of products of integer matrices
- Asymptotic height optimization for topical IFS, Tetris heaps, and the finiteness conjecture
- Invariant Polytopes of Sets of Matrices with Application to Regularity of Wavelets and Subdivisions
- Finding Extremal Complex Polytope Norms for Families of Real Matrices
- Two-Scale Difference Equations II. Local Regularity, Infinite Products of Matrices and Fractals
- The generalized joint spectral radius. A geometric approach
- An Elementary Counterexample to the Finiteness Conjecture
- Algorithm 1011
- Stability of Linear Problems: Joint Spectral Radius of Sets of Matrices
- Fractal curves and wavelets
- Complex Polytope Extremality Results for Families of Matrices
- Irreducible semigroups with multiplicative spectral radius
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