An efficient lower bound for the generalized spectral radius of a set of matrices

DOI10.1016/0024-3795(94)00171-5zbMath0848.15017OpenAlexW2048103084WikidataQ127865133 ScholiaQ127865133MaRDI QIDQ1915602

Mohsen Maesumi

Publication date: 21 October 1996

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

Full work available at URL: https://doi.org/10.1016/0024-3795(94)00171-5

zbMATH Keywords

waveletspermutationgeneralized spectral radiusMacMahon formulawordinversion principleDedekind-Liouville transforms

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Arithmetic functions; related numbers; inversion formulas (11A25)

Related Items (19)

Estimates for the joint spectral radius ⋮ The generalized spectral radius and extremal norms ⋮ On the computational aspects of the theory of joint spectral radius ⋮ An experimental study of approximation algorithms for the joint spectral radius ⋮ On codes with local joint constraints ⋮ A rapidly-converging lower bound for the joint spectral radius via multiplicative ergodic theory ⋮ On explicit a priori estimates of the joint spectral radius by the generalized Gelfand formula ⋮ Exact computation of joint spectral characteristics of linear operators ⋮ Rank-one characterization of joint spectral radius of finite matrix family ⋮ The finite-step realizability of the joint spectral radius of a pair of \(d \times d\) matrices one of which being rank-one ⋮ Optimal norms and the computation of joint spectral radius of matrices ⋮ Extremal \(L_p\)-norms of linear operators and self-similar functions ⋮ Approximation of the joint spectral radius using sum of squares ⋮ On the accuracy of the ellipsoid norm approximation of the joint spectral radius ⋮ On the joint spectral radius of matrices of order 2 with equal spectral radius ⋮ Criteria for the stability of the finiteness property and for the uniqueness of Barabanov norms ⋮ A relaxation scheme for computation of the joint spectral radius of matrix sets ⋮ Joint spectral radius and Hölder regularity of wavelets ⋮ Characterization of joint spectral radius via trace

Cites Work

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• Sets of matrices all infinite products of which converge
• Bounded semigroups of matrices
• The finiteness conjecture for the generalized spectral radius of a set of matrices
• Computing the joint spectral radius
• The characterization of continuous, four-coefficient scaling functions and wavelets
• Two-Scale Difference Equations II. Local Regularity, Infinite Products of Matrices and Fractals

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