On the Cholesky factorization of the Gram matrix of locally supported functions

DOI10.1007/BF01737164zbMath0833.15010MaRDI QIDQ1899933

Giuseppe Rodriguez, Charles A. Micchelli, Sebastiano Seatzu, Tim N. T. Goodman

Publication date: 11 October 1995

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

asymptotic behaviorCholesky factorization\(B\)-splinesGram matrixorthogonal splineslocally supported functionssemi- infinite matrices

Mathematics Subject Classification ID

Factorization of matrices (15A23) Spline approximation (41A15)

Related Items (7)

Factorization of multivariate positive Laurent polynomials ⋮ LDU factorization results for bi-infinite and semi-infinite scalar and block Toeplitz matrices ⋮ Regularized minimal-norm solution of an overdetermined system of first kind integral equations ⋮ The Bauer-type factorization of matrix polynomials revisited and extended ⋮ Monotone convex sequences and Cholesky decomposition of symmetric Toeplitz matrices ⋮ Locally Stationary Wavelet Packet Processes: Basis Selection and Model Fitting ⋮ A comment on the orthogonalization of B-spline basis functions and their derivatives

Cites Work

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• Inversion of Toeplitz matrices
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• Orthogonal splines based on \(B\)-splines -- with applications to least squares, smoothing and regularisation problems
• On the Computation of the Conjugate Trigonometric Rational Function and on a Related Splitting Problem
• Decay Rates for Inverses of Band Matrices
• Cholesky factorization of positive definite bi-infinite matrices
• Integral equations on a half-line with kernel depending upon the difference of the arguments

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