SIA matrices and non-negative subdivision

DOI10.1007/S00025-012-0289-ZzbMath1254.65029OpenAlexW2083262692MaRDI QIDQ1759049

Kurt Jetter, Xianjun Li

Publication date: 19 November 2012

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-012-0289-z

zbMATH Keywords

uniform convergencestochastic matrixnon-homogeneous finite Markov processnon-negative masknon-negative multivariate subdivision

Mathematics Subject Classification ID

Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Computer-aided design (modeling of curves and surfaces) (65D17) Stochastic matrices (15B51)

Related Items (5)

Convergent bivariate subdivision scheme with nonnegative mask whose support is non-convex ⋮ Necessary conditions for the convergence of subdivision schemes with finite masks ⋮ A new characterization of convergent multivariate subdivision schemes with nonnegative masks ⋮ A new computable sufficient condition for the convergence of subdivision schemes with nonnegative masks ⋮ Characterization of some convergent bivariate subdivision schemes with nonnegative masks

Cites Work

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• Positivity of refinable functions defined by nonnegative finite masks
• Uniform refinement of curves
• Sets of matrices all infinite products of which converge
• Exponential convergence of products of stochastic matrices
• Stationary subdivision
• Subdivision schemes with nonnegative masks
• Convergence of Subdivision Schemes Associated with Nonnegative Masks
• Consensus seeking in multiagent systems under dynamically changing interaction topologies
• On multivariate subdivision schemes with nonnegative finite masks
• Products of Indecomposable, Aperiodic, Stochastic Matrices

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