The \(p\)-norm joint spectral radius for even integers

DOI10.4310/MAA.1998.v5.n1.a2zbMath0908.42023OpenAlexW2174948MaRDI QIDQ1270874

Ding-Xuan Zhou

Publication date: 8 March 1999

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

Full work available at URL: https://doi.org/10.4310/maa.1998.v5.n1.a2

zbMATH Keywords

waveletssubdivision schemesKronecker product\(p\)-norm joint spectral radiussquare matricesmatrix refinement equationmultiple refinable functionsmultiple refinable Hermite interpolantsstring vec-function

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Iteration theory, iterative and composite equations (39B12) General harmonic expansions, frames (42C15) Interpolation in approximation theory (41A05)

Related Items (25)

Efficient method for computing lower bounds on the \(p\)-radius of switched linear systems ⋮ Multivariate refinement equation with nonnegative masks ⋮ Exponential stability of matrix-valued Markov chains via nonignorable periodic data ⋮ An explicit formula for the pressure of box-like affine iterated function systems ⋮ \(L_p\)-solutions of vector refinement equations with general dilation matrix ⋮ Generalized joint spectral radius and stability of switching systems ⋮ Multiple refinable Hermite interpolants ⋮ Uniformity of Lyapunov exponents for non-invertible matrices ⋮ Vector refinement equations with infinitely supported masks ⋮ Subdivision schemes with nonnegative masks ⋮ Subdivisions with infinitely supported mask ⋮ Extremal \(L_p\)-norms of linear operators and self-similar functions ⋮ \(L_p\) solutions of refinement equations ⋮ Spectral factorization of 2-block Toeplitz matrices and refinement equations ⋮ A generalization of the mean size formula of wavelet packets in \(L_p\) ⋮ Norms concerning subdivision sequences and their applications in wavelets ⋮ Optimality of multilevel preconditioning for nonconforming P1 finite elements ⋮ Optimal $C^2$ two-dimensional interpolatory ternary subdivision schemes with two-ring stencils ⋮ Multivariate refinement equations and convergence of cascade algorithms in \(L_p(0<p<1)\) spaces ⋮ Mean size formula of wavelet subdivision tree on Heisenberg group ⋮ Convergence rates of cascade algorithms associated with nonhomogeneous refinement equations ⋮ Dyadic \(C^2\) Hermite interpolation on a square mesh ⋮ Fast Approximation of the $p$-Radius, Matrix Pressure, or Generalized Lyapunov Exponent for Positive and Dominated Matrices ⋮ Spectra of subdivision operators ⋮ Mean size of wavelet packets

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