Convergence rates for moment collocation solutions of linear operator equations

DOI10.1080/01630569508816641zbMath0856.65060OpenAlexW2020942503MaRDI QIDQ4845186

Mark A. Lukas

Publication date: 11 February 1997

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

Full work available at URL: https://doi.org/10.1080/01630569508816641

zbMATH Keywords

convergenceHilbert spacecollocationlinear operator equationmoment discretization

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Numerical solutions to equations with linear operators (65J10) Equations and inequalities involving linear operators, with vector unknowns (47A50) Fredholm integral equations (45B05)

Related Items (1)

Robust GCV choice of the regularization parameter for correlated data

Cites Work

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• Approximation of method of regularization estimators
• Asymptotic optimality of generalized cross-validation for choosing the regularization parameter
• A general method for the construction of interpolating or smoothing spline-functions
• Some results on Tchebycheffian spline functions and stochastic processes
• Convergence rates of certain approximate solutions to Fredholm integral equations of the first kind
• A class of approximate solutions to linear operator equations
• Regularization of linear operator equations

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