A multi-level algorithm for the solution of moment problems

DOI10.1080/01630569808816833zbMath0908.65127arXivmath/9901121OpenAlexW1978821037MaRDI QIDQ4400146

Thomas Strohmer, Otmar Scherzer

Publication date: 22 March 1999

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9901121

zbMATH Keywords

numerical examplesHilbert spaceconjugate gradient methodmultilevel algorithmssignal reconstructionLandweber-Richardson methodlinear moment problemsreconstruction of band-limited signals

Mathematics Subject Classification ID

Trigonometric interpolation (42A15) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Numerical methods for integral transforms (65R10) Numerical solutions to equations with linear operators (65J10) Moment problems (44A60) Numerical methods for trigonometric approximation and interpolation (65T40) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)

Related Items (2)

Fast scattered data approximation with Neumann and other boundary conditions ⋮ Numerical analysis of non-uniform sampling problem

Cites Work

• Smoothed projection methods for the moment problem
• General sampling theorems for functions in reproducing kernel Hilbert spaces
• A discrete theory of irregular sampling
• Efficient numerical methods in non-uniform sampling theory
• A convergence analysis of the Landweber iteration for nonlinear ill-posed problems
• Moment problems and stability results for frames with applications to irregular sampling and Gabor frames
• Ten Lectures on Wavelets
• The Backus-Gilbert method for signals in reproducing kernel Hilbert spaces and wavelet subspaces
• Regularizing properties of a truncated newton-cg algorithm for nonlinear inverse problems
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