Characterization of Continuous, Four-Coefficient Scaling Functions via Matrix Spectral Radius

DOI10.1137/S0895479897323750zbMath0964.42017MaRDI QIDQ2706254

Markus Bröker, Xin-Long Zhou

Publication date: 19 March 2001

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

waveletjoint spectral radiusscaling functionsubdivision schemedilation equation

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Numerical methods for wavelets (65T60)

Related Items (12)

Estimates for the joint spectral radius ⋮ Some criteria for spectral finiteness of a finite subset of the real matrix space \(\mathbb R^{d\times d}\) ⋮ Convergence analysis of \(C^{2}\) Hermite interpolatory subdivision schemes by explicit joint spectral radius formulas ⋮ Rank-one characterization of joint spectral radius of finite matrix family ⋮ On multivariate subdivision schemes with nonnegative finite masks ⋮ A new characterization of convergent multivariate subdivision schemes with nonnegative masks ⋮ Subdivision schemes with nonnegative masks ⋮ Some sufficient conditions for convergent multivariate subdivision schemes with nonnegative finite masks ⋮ A new computable sufficient condition for the convergence of subdivision schemes with nonnegative masks ⋮ Optimal norms and the computation of joint spectral radius of matrices ⋮ On the joint spectral radius of matrices of order 2 with equal spectral radius ⋮ Characterization of joint spectral radius via trace

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