Approximation schemes for functions of positive-definite matrix values

DOI10.1093/IMANUM/DRS049zbMATH Open1284.65028OpenAlexW2011411305MaRDI QIDQ2856628

Uri Itai, Nir Sharon

Publication date: 30 October 2013

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/8adc9420e61c54c7167e0c92f00b9a2016e543a6

zbMATH Keywords

Bernstein operatorerror boundpositive definite matrixsubdivision schemematrix meanmatrix valued functionunivariate functioncorner cutting scheme

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Algorithms for approximation of functions (65D15) Means (26E60) Computer-aided design (modeling of curves and surfaces) (65D17) Operator means involving linear operators, shorted linear operators, etc. (47A64) Matrix exponential and similar functions of matrices (15A16) Numerical computation of matrix exponential and similar matrix functions (65F60)

Related Items (10)

Univariate subdivision schemes for noisy data with geometric applications ⋮ Conditioning analysis of positive definite matrices by approximate factorizations ⋮ Matrix Approaches for Variable Precision Rough Approximations ⋮ Preserving Positive Definiteness in Hierarchically Semiseparable Matrix Approximations ⋮ Title not available (Why is that?) ⋮ Manifold-valued subdivision schemes based on geodesic inductive averaging ⋮ Direction-Preserving and Schur-Monotonic Semiseparable Approximations of Symmetric Positive Definite Matrices ⋮ A global approach to the refinement of manifold data ⋮ Approximating the derivative of manifold-valued functions ⋮ Analog approach for the eigen-decomposition of positive definite matrices

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