Dyadic diagonalization of positive definite band matrices and efficient \(B\)-spline orthogonalization
DOI10.1016/j.cam.2022.114444zbMath1490.65016OpenAlexW4281797088WikidataQ113878709 ScholiaQ113878709MaRDI QIDQ2151622
Krzysztof Podgórski, Xijia Liu, Hiba Nassar
Publication date: 5 July 2022
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2022.114444
Numerical computation using splines (65D07) Functional data analysis (62R10) Factorization of matrices (15A23) Applications of functional analysis in probability theory and statistics (46N30) Orthogonalization in numerical linear algebra (65F25) Toeplitz, Cauchy, and related matrices (15B05)
Related Items (1)
Uses Software
Cites Work
- An Explicit Link between Gaussian Fields and Gaussian Markov Random Fields: The Stochastic Partial Differential Equation Approach
- A comment on the orthogonalization of B-spline basis functions and their derivatives
- Notes on spline functions. V: Orthogonal or Legendre splines
- Orthogonal splines based on \(B\)-splines -- with applications to least squares, smoothing and regularisation problems
- A class of orthogonal refinable functions and wavelets
- Periodic spline orthonormal bases
- Explicit and asymptotic formulas for \(LDM^ t\) factorization of banded Toeplitz matrices
- Orthogonal cubic spline basis and its applications to a partial integro-differential equation with a weakly singular kernel
- Data driven orthogonal basis selection for functional data analysis
- Orthogonal spline collocation methods for the subdiffusion equation
- An orthogonal basis for non-uniform algebraic-trigonometric spline space
- Testing Uniformity Via Log-Spline Modeling
- Empirically Driven Orthonormal Bases for Functional Data Analysis
- Positive spline operators and orthogonal splines
- Orthogonal spline collocation methods for partial differential equations
- A practical guide to splines.
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Dyadic diagonalization of positive definite band matrices and efficient \(B\)-spline orthogonalization
