Stochastic inversion of linear first kind integral equations. I: Continuous theory and the stochastic generalized inverse

DOI10.1016/0022-247X(85)90144-1zbMath0602.60052OpenAlexW2073092559MaRDI QIDQ1081964

B. George

Publication date: 1985

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(85)90144-1

zbMATH Keywords

Fredholm integral equationregularization parameterprobabilistic structure of statistical inversionreproducing kernel Hilbert space setting

Mathematics Subject Classification ID

Numerical solutions to equations with linear operators (65J10) Fredholm integral equations (45B05) Stochastic integral equations (60H20)

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Cites Work

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• Regularization with differential operators. I: General theory
• Well-posed stochastic extensions of ill-posed linear problems
• An Application of the Wiener-Kolmogorov Smoothing Theory to Matrix Inversion
• Regularization with Differential Operators. II: Weak Least Squares Finite Element Solutions to First Kind Integral Equations
• Minimum-RMS Estimation of the Numerical Solution of a Fredholm Integral Equation of the First Kind
• Theory of Reproducing Kernels

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